Academic literature on the topic 'Relative cohomology of groups'

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Journal articles on the topic "Relative cohomology of groups"

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Wilkes, Gareth. "Relative cohomology theory for profinite groups." Journal of Pure and Applied Algebra 223, no. 4 (2019): 1617–88. http://dx.doi.org/10.1016/j.jpaa.2018.07.001.

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Sadhu, Vivek. "Relative Brauer groups and étale cohomology." Journal of Pure and Applied Algebra 224, no. 12 (2020): 106428. http://dx.doi.org/10.1016/j.jpaa.2020.106428.

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Hajizamani, A. "On Groups with Periodic Relative Cohomology." Communications in Algebra 40, no. 2 (2012): 429–43. http://dx.doi.org/10.1080/00927872.2010.531071.

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Pagliantini, Cristina, and Pascal Rolli. "Relative second bounded cohomology of free groups." Geometriae Dedicata 175, no. 1 (2014): 267–80. http://dx.doi.org/10.1007/s10711-014-0040-x.

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Zhongkui, Liu, and Xie Zongyang. "Relative cohomology of complexes based on cotorsion pairs." Journal of Algebra and Its Applications 19, no. 05 (2019): 2050092. http://dx.doi.org/10.1142/s0219498820500929.

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Let [Formula: see text] be an associative ring with identity. The purpose of this paper is to establish relative cohomology theories based on cotorsion pairs in the setting of unbounded complexes of modules over [Formula: see text]. Let [Formula: see text] be a complete hereditary cotorsion pair in [Formula: see text]-Mod. Then [Formula: see text] and [Formula: see text] are complete hereditary cotorsion pairs in the category of [Formula: see text]-complexes. For any complexes [Formula: see text] and [Formula: see text] and any [Formula: see text], we define the [Formula: see text]th relative
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Greenlees, J. P. C. "Generalized Eilenberg–Moore spectral sequences for elementary abelian groups and tori." Mathematical Proceedings of the Cambridge Philosophical Society 112, no. 1 (1992): 77–89. http://dx.doi.org/10.1017/s0305004100070778.

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AbstractIn this note we prove universal coefficient theorems for Borel cohomology and related theories. Whatever other merit this may have the comment of Borel [5] applies ‘ …elle a au moms l'utilité de bien mettre en évidence le rôle fondamental joué dans cette question par la cohomologie des groupes’.Indeed the purpose of the enterprise is to use homological properties of the group cohomology ring H*(BG+) to study properties of G-spaces. Because of the relative simplicity of ordinary cohomology much attention in the proofs and applications is concentrated on change of groups, and on changes
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Brown, Daniel G. "Relative cohomology of finite groups and polynomial growth." Journal of Pure and Applied Algebra 97, no. 1 (1994): 1–13. http://dx.doi.org/10.1016/0022-4049(94)90036-1.

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Ellis, Graham J. "Relative derived contravariant functors and the cohomology of groups." Journal of Pure and Applied Algebra 64, no. 1 (1990): 21–33. http://dx.doi.org/10.1016/0022-4049(90)90004-2.

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JI, RONGHUI, CRICHTON OGLE, and BOBBY RAMSEY. "${\mathcal{B}$-BOUNDED COHOMOLOGY AND APPLICATIONS." International Journal of Algebra and Computation 23, no. 01 (2013): 147–204. http://dx.doi.org/10.1142/s0218196713500057.

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A discrete group with word-length (G, L) is [Formula: see text]-isocohomological for a bounding classes [Formula: see text] if the comparison map from [Formula: see text]-bounded cohomology to ordinary cohomology (with coefficients in ℂ) is an isomorphism; it is strongly [Formula: see text]-isocohomological if the same is true with arbitrary coefficients. In this paper we establish some basic conditions guaranteeing strong [Formula: see text]-isocohomologicality. In particular, we show strong [Formula: see text]-isocohomologicality for an FP∞ group G if all of the weighted G-sensitive Dehn fun
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Binda, Federico, and Shuji Saito. "RELATIVE CYCLES WITH MODULI AND REGULATOR MAPS." Journal of the Institute of Mathematics of Jussieu 18, no. 06 (2017): 1233–93. http://dx.doi.org/10.1017/s1474748017000391.

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Let $\overline{X}$ be a separated scheme of finite type over a field $k$ and $D$ a non-reduced effective Cartier divisor on it. We attach to the pair $(\overline{X},D)$ a cycle complex with modulus, those homotopy groups – called higher Chow groups with modulus – generalize additive higher Chow groups of Bloch–Esnault, Rülling, Park and Krishna–Levine, and that sheafified on $\overline{X}_{\text{Zar}}$ gives a candidate definition for a relative motivic complex of the pair, that we compute in weight $1$ . When $\overline{X}$ is smooth over $k$ and $D$ is such that $D_{\text{red}}$ is a normal
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Dissertations / Theses on the topic "Relative cohomology of groups"

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Cavalcanti, Maria Paula dos Santos. "Decomposição de grupos de dualidade de Poincaré, obstruções sing e invariantes cohomológicos /." São José do Rio Preto : [s.n.], 2010. http://hdl.handle.net/11449/94221.

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Orientador: Ermínia de Lourdes Campello Fanti<br>Banca: Denise de Mattos<br>Banca: Maria Gorete Carreira Andrade<br>Resumo: O obejtivo principal deste trabalho é estudar as obstruções "sing" que desempenham papel importante nas demonstrações de certos resultados sobre decomposição de grupos que satisfazem certas hipóteses de dualidade apresentados em [16] e [17], em particular, sobre decomposição de um grupo G adapatada a uma família S de subgrupos de G com (G,S) um par de dualidade de Poincaré. Alguns invariantes cohomológicos e certos resultados envolvendo tais invariantes, decomposição de g
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Cavalcanti, Maria Paula dos Santos [UNESP]. "Decomposição de grupos de dualidade de Poincaré, obstruções sing e invariantes cohomológicos." Universidade Estadual Paulista (UNESP), 2010. http://hdl.handle.net/11449/94221.

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Made available in DSpace on 2014-06-11T19:26:55Z (GMT). No. of bitstreams: 0 Previous issue date: 2010-02-26Bitstream added on 2014-06-13T20:16:04Z : No. of bitstreams: 1 cavalcanti_mps_me_sjrp.pdf: 612728 bytes, checksum: 47d18c69b5ae7b113879890007734ec5 (MD5)<br>Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)<br>O obejtivo principal deste trabalho é estudar as obstruções sing que desempenham papel importante nas demonstrações de certos resultados sobre decomposição de grupos que satisfazem certas hipóteses de dualidade apresentados em [16] e [17], em particular, sobre d
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Nicol, Andrew. "Quasi-isometries of graph manifolds do not preserve non-positive curvature." The Ohio State University, 2014. http://rave.ohiolink.edu/etdc/view?acc_num=osu1405894640.

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Mckemey, Robert. "Relative local cohomology." Thesis, University of Manchester, 2013. https://www.research.manchester.ac.uk/portal/en/theses/relative-local-cohomology(9eb51c32-c86b-46db-8c80-391ce9390370).html.

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This thesis will examine Relative Local Cohomology. First we extend many well known theorems about Local Cohomology of finitely generated modules with respect to an ideal of a commutative noetherian rings so that they hold for non-finitely generated modules with respect to certain ideals of non-commutative non-noetherian rings. Then we show how similar results hold for Relative Local Cohomology. In particular we provide a relative version of the Local Duality Theorem. We then examine the links between Relative Homological Algebra and the concept of Structure Theorems and give a bound on the Ca
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Watson, Toni Aliza. "Twisted cohomology groups." College Park, Md. : University of Maryland, 2006. http://hdl.handle.net/1903/3929.

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Thesis (M.A.) -- University of Maryland, College Park, 2006.<br>Thesis research directed by: Dept. of Mathematics. Title from t.p. of PDF. Includes bibliographical references. Published by UMI Dissertation Services, Ann Arbor, Mich. Also available in paper.
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Česnavičius, Kęstutis. "Selmer groups as flat cohomology groups." Thesis, Massachusetts Institute of Technology, 2014. http://hdl.handle.net/1721.1/90180.

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Thesis: Ph. D., Massachusetts Institute of Technology, Department of Mathematics, 2014.<br>Cataloged from PDF version of thesis.<br>Includes bibliographical references (pages 44-46).<br>Given a prime number p, Bloch and Kato showed how the p Selmer group of an abelian variety A over a number field K is determined by the p-adic Tate module. In general, the pm1-Selmer group Selpmn A need not be determined by the mod pm Galois representation A[pm]; we show, however, that this is the case if p is large enough. More precisely, we exhibit a finite explicit set of rational primes E depending on K and
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Clark, Jonathan Owen. "Cohomology of some finite groups." Thesis, University of Oxford, 1993. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.240535.

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Eastridge, Samuel Vance. "First l^2-Cohomology Groups." Thesis, Virginia Tech, 2015. http://hdl.handle.net/10919/52952.

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We want to take a look at the first cohomology group H^1(G, l^2(G)), in particular when G is locally-finite. First, though, we discuss some results about the space H^1(G, C G) for G locally-finite, as well as the space H^1(G, l^2(G)) when G is finitely generated. We show that, although in the case when G is finitely generated the embedding of C G into l^2(G) induces an embedding of the cohomology groups H^1(G, C G) into H^1(G, l^2(G)), when G is countably-infinite locally-finite, the induced homomorphism is not an embedding. However, even though the induced homomorphism is not an embedding,
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Leary, Ian James. "The cohomology of certain finite groups." Thesis, University of Cambridge, 1990. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.386114.

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Kim, Yunhyong. "Smooth cochain cohomology of loop groups." Thesis, University of Cambridge, 2000. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.621575.

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Books on the topic "Relative cohomology of groups"

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The cohomology of groups. Clarendon Press, 1991.

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James, Milgram R., ed. Cohomology of finite groups. 2nd ed. Springer, 2004.

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James, Milgram R., ed. Cohomology of finite groups. Springer-Verlag, 1994.

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Adem, Alejandro, and R. James Milgram. Cohomology of Finite Groups. Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-662-06280-7.

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Adem, Alejandro, and R. James Milgram. Cohomology of Finite Groups. Springer Berlin Heidelberg, 1994. http://dx.doi.org/10.1007/978-3-662-06282-1.

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Cogdell, James W., Günter Harder, Stephen Kudla, and Freydoon Shahidi, eds. Cohomology of Arithmetic Groups. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-95549-0.

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Vermani, L. R. Lectures on cohomology of groups. Publication Bureau, Kurukshetra University, 1994.

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Carlson, Jon F., Lisa Townsley, Luis Valeri-Elizondo, and Mucheng Zhang. Cohomology Rings of Finite Groups. Springer Netherlands, 2003. http://dx.doi.org/10.1007/978-94-017-0215-7.

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Lang, Serge. Topics in Cohomology of Groups. Springer Berlin Heidelberg, 1996. http://dx.doi.org/10.1007/bfb0092624.

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Lang, Serge. Topics in cohomology of groups. Springer, 1996.

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Book chapters on the topic "Relative cohomology of groups"

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Oda, Takayuki. "The Riemann-Hodge period relation for Hilbert modular forms of weight 2." In Cohomology of Arithmetic Groups and Automorphic Forms. Springer Berlin Heidelberg, 1990. http://dx.doi.org/10.1007/bfb0085733.

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Becker, Christian. "Relative Differential Cohomology." In Differential Characters. Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-07034-6_2.

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Jantzen, Jens. "Cohomology." In Representations of Algebraic Groups. American Mathematical Society, 2007. http://dx.doi.org/10.1090/surv/107/04.

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Bump, Daniel. "Cohomology of Grassmannians." In Lie Groups. Springer New York, 2013. http://dx.doi.org/10.1007/978-1-4614-8024-2_48.

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Bump, Daniel. "Cohomology of Grassmannians." In Lie Groups. Springer New York, 2004. http://dx.doi.org/10.1007/978-1-4757-4094-3_50.

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Mac Lane, Saunders. "Cohomology of Groups." In Homology. Springer Berlin Heidelberg, 1995. http://dx.doi.org/10.1007/978-3-642-62029-4_5.

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Hilton, Peter J., and Urs Stammbach. "Cohomology of Groups." In A Course in Homological Algebra. Springer New York, 1997. http://dx.doi.org/10.1007/978-1-4419-8566-8_7.

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Borel, A., and N. Wallach. "Relative Lie algebra cohomology." In Mathematical Surveys and Monographs. American Mathematical Society, 2000. http://dx.doi.org/10.1090/surv/067/02.

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Wedhorn, Torsten. "Lie Groups." In Manifolds, Sheaves, and Cohomology. Springer Fachmedien Wiesbaden, 2016. http://dx.doi.org/10.1007/978-3-658-10633-1_6.

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Koch, Helmut. "Cohomology of Profinite Groups." In Springer Monographs in Mathematics. Springer Berlin Heidelberg, 2002. http://dx.doi.org/10.1007/978-3-662-04967-9_4.

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Conference papers on the topic "Relative cohomology of groups"

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Masuoka, Akira. "Hopf cohomology vanishing via approximation by Hochschild cohomology." In Noncommutative Geometry and Quantum Groups. Institute of Mathematics Polish Academy of Sciences, 2003. http://dx.doi.org/10.4064/bc61-0-8.

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Venkataramana, T. N. "Cohomology of Arithmetic Groups and Representations." In Proceedings of the International Congress of Mathematicians 2010 (ICM 2010). Published by Hindustan Book Agency (HBA), India. WSPC Distribute for All Markets Except in India, 2011. http://dx.doi.org/10.1142/9789814324359_0100.

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BONANZINGA, V., and L. SORRENTI. "LEXSEGMENT IDEALS AND SIMPLICIAL COHOMOLOGY GROUPS." In Selected Contributions from the 8th SIMAI Conference. WORLD SCIENTIFIC, 2007. http://dx.doi.org/10.1142/9789812709394_0016.

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Khalkhali, M., and B. Rangipour. "Cyclic cohomology of (extended) Hopf algebras." In Noncommutative Geometry and Quantum Groups. Institute of Mathematics Polish Academy of Sciences, 2003. http://dx.doi.org/10.4064/bc61-0-5.

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VENKATESH, AKSHAY. "COHOMOLOGY OF ARITHMETIC GROUPS - FIELDS MEDAL LECTURE." In International Congress of Mathematicians 2018. WORLD SCIENTIFIC, 2019. http://dx.doi.org/10.1142/9789813272880_0014.

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SAKANE, YUSUKE, and TAKUMI YAMADA. "HARMONIC COHOMOLOGY GROUPS ON COMPACT SYMPLECTIC NILMANIFOLDS." In Proceedings of the International Conference on Modern Mathematics and the International Symposium on Differential Geometry. WORLD SCIENTIFIC, 2002. http://dx.doi.org/10.1142/9789812776419_0014.

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LI, JIAN-SHU, and JOACHIM SCHWERMER. "AUTOMORPHIC REPRESENTATIONS AND COHOMOLOGY OF ARITHMETIC GROUPS." In Proceedings of the International Conference on Fundamental Sciences: Mathematics and Theoretical Physics. WORLD SCIENTIFIC, 2001. http://dx.doi.org/10.1142/9789812811264_0005.

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SOMA, TERUHIKO. "THE THIRD BOUNDED COHOMOLOGY AND KLEINIAN GROUPS." In Proceedings of the 37th Taniguchi Symposium. WORLD SCIENTIFIC, 1996. http://dx.doi.org/10.1142/9789814503921_0015.

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Sharygin, G. I. "Hopf-type Cyclic Cohomology via the Karoubi Operator." In Noncommutative Geometry and Quantum Groups. Institute of Mathematics Polish Academy of Sciences, 2003. http://dx.doi.org/10.4064/bc61-0-14.

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Callegaro, Filippo, Davide Moroni, and Mario Salvetti. "Cohomology of Artin groups of type \tildeAn, Bn and applications." In Groups, homotopy and configuration spaces, in honour of Fred Cohen's 60th birthday. Mathematical Sciences Publishers, 2008. http://dx.doi.org/10.2140/gtm.2008.13.85.

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Reports on the topic "Relative cohomology of groups"

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Holod, Petro I. Geometric Quantization, Cohomology Groups and Intertwining Operators. GIQ, 2012. http://dx.doi.org/10.7546/giq-1-2000-95-104.

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Nieves, L. A., and D. R. Wernette. Assessment of relative exposure of minority and low-income groups to outdoor air pollution. Office of Scientific and Technical Information (OSTI), 1996. http://dx.doi.org/10.2172/369667.

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Austin, Velda R., and Wayne R. Wilson. Classification of Champus Professional Services to Ambulatory Patient Groups and Assignment of Resource-Based Relative Values. Champus Professional Services Classification Study (CPSCS). Defense Technical Information Center, 1992. http://dx.doi.org/10.21236/ada251256.

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Gradín, Carlos. WIID Companion (March 2021): global income distribution. UNU-WIDER, 2021. http://dx.doi.org/10.35188/unu-wider/wtn/2021-6.

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This document is part of a series of technical notes describing the compilation of a new companion database that complements the UNU-WIDER World Income Inequality Database. It aims at facilitating the analysis of inequality as well as progress in achieving the global goal of reducing inequality within and across countries. This new dataset includes an annual series reporting the income distribution at the percentile level for all citizens in the world, regardless of where they live, from 1950 to the present. The global distribution is displayed along with the country-level information used to
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Busby, Ryan, Thomas Douglas, Joshua LeMonte, David Ringelberg, and Karl Indest. Metal accumulation capacity in indigenous Alaska vegetation growing on military training lands. Engineer Research and Development Center (U.S.), 2021. http://dx.doi.org/10.21079/11681/41443.

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Permafrost thawing could increase soil contaminant mobilization in the environment. Our objective was to quantify metal accumulation capacities for plant species and functional groups common to Alaskan military training ranges where elevated soil metal concentrations were likely to occur. Plant species across multiple military training range sites were collected. Metal content in shoots and roots was compared to soil metal concentrations to calculate bioconcentration and translocation factors. On average, grasses accumulated greater concentrations of Cr, Cu, Ni, Pb, Sb, and Zn relative to forb
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Fullan, Michael, and Joanne Quinn. How Do Disruptive Innovators Prepare Today's Students to Be Tomorrow's Workforce?: Deep Learning: Transforming Systems to Prepare Tomorrow’s Citizens. Inter-American Development Bank, 2020. http://dx.doi.org/10.18235/0002959.

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Disruptive innovators take advantage of unique opportunities. Prior to COVID-19 progress in Latin America and the Caribbean for integrating technology, learning, and system change has been exceedingly slow. In this paper we first offer a general framework for transforming education. The framework focuses on the provision of technology, innovative ideas in learning and well-being, and what we call systemness which are favorable change factors at the local, middle/regional, and policy levels. We then take up the matter of system reform in Latin America and the Caribbean noting problems and poten
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Michalak, Julia, Josh Lawler, John Gross, and Caitlin Littlefield. A strategic analysis of climate vulnerability of national park resources and values. National Park Service, 2021. http://dx.doi.org/10.36967/nrr-2287214.

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The U.S. national parks have experienced significant climate-change impacts and rapid, on-going changes are expected to continue. Despite the significant climate-change vulnerabilities facing parks, relatively few parks have conducted comprehensive climate-change vulnerability assessments, defined as assessments that synthesize vulnerability information from a wide range of sources, identify key climate-change impacts, and prioritize vulnerable park resources (Michalak et al. In review). In recognition that funding and planning capacity is limited, this project was initiated to identify geogra
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National report 2009-2019 - Rural NEET in Portugal. OST Action CA 18213: Rural NEET Youth Network: Modeling the risks underlying rural NEETs social exclusion, 2020. http://dx.doi.org/10.15847/cisrnyn.nrpt.2020.12.

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This report outlines in detail the situation of rural youths Neither in Employment, nor in Edu-cation or Training (NEET) aged between 15 and 34 years old, over the last decade (2009-2019) in Portugal. To do this, the report portrays indicators of: youth population; youth em-ployment and unemployment; education; and, NEETs distribution. The characterisation of all indicators adopts the degree of urbanisation as a central criterion, thereby enabling propor-tional comparisons between rural areas, towns and suburbs, cities and the whole country. These analyses are further divided into age subgroup
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National report 2009-2019 - Rural NEET in Bulgaria. OST Action CA 18213: Rural NEET Youth Network: Modeling the risks underlying rural NEETs social exclusion, 2020. http://dx.doi.org/10.15847/cisrnyn.ndbg.2020.12.

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This report outlines in detail the situation of rural Youths Neither in Employment, nor in Education or Training (NEET) aged between 15 and 34 years old, over the last decade (2009-2019) in Bulgaria. To do this, the report utilised indicators of: youth population; you-th employment and unemployment; education; and, NEETs distribution. The characteri-sation of all indicators adopted the degree of urbanisation as a central criterion, enabling proportional comparisons between rural areas, towns and suburbs, cities and the whole country. These analyses are further divided into age subgroups and, w
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National report 2009-2019 - Rural NEET in Montenegro. OST Action CA 18213: Rural NEET Youth Network: Modeling the risks underlying rural NEETs social exclusion, 2020. http://dx.doi.org/10.15847/cisrnyn.nrme.2020.12.

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This report outlines in detail the situation of rural Youths Neither in Employment, nor in Edu-cation or Training (NEET) aged between 15 and 34 years old, over the last decade (2009-2019) in Montenegro. To do this, the report utilised indicators of: youth population; youth employment and unemployment; education; and, NEETs distribution. The characterisation of all indicators adopted the degree of urbanisation as a central criterion, enabling propor-tional comparisons between rural areas, towns and suburbs, cities and the whole country. These analyses are further divided into age subgroups and,
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