Relevant bibliographies by topics / Dihedral groups

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Dihedral groups'

Author: Grafiati
Published: 4 June 2021
Last updated: 26 July 2025

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Journal articles on the topic "Dihedral groups"

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El-Sanfaz, Mustafa Anis, Nor Haniza Sarmin, and Siti Norziahidayu Amzee Zamri. "Generalized Commuting Graph of Dihedral, Semi-dihedral and Quasi-dihedral Groups." Malaysian Journal of Fundamental and Applied Sciences 17, no. 6 (2021): 711–19. http://dx.doi.org/10.11113/mjfas.v17n6.2245.

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Commuting graphs are characterized by vertices that are non-central elements of a group where two vertices are adjacent when they commute. In this paper, the concept of commuting graph is extended by defining the generalized commuting graph. Furthermore, the generalized commuting graph of the dihedral groups, the quasi-dihedral groups and the semi-dihedral groups are presented and discussed. The graph properties including chromatic and clique numbers are also explored.
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Etayo Gordejuela, José Javier, and Ernesto Martínez. "The real genus of cyclic by dihedral and dihedral by dihedral groups." Journal of Algebra 296, no. 1 (2006): 145–56. http://dx.doi.org/10.1016/j.jalgebra.2005.03.038.

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Sehrawat, Sudesh, and Manju Pruthi. "Codes over dihedral groups." Journal of Information and Optimization Sciences 39, no. 4 (2018): 889–901. http://dx.doi.org/10.1080/02522667.2017.1406628.

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Isbell, John. "Sequencing certain dihedral groups." Discrete Mathematics 85, no. 3 (1990): 323–28. http://dx.doi.org/10.1016/0012-365x(90)90389-y.

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Guyot, Luc. "Limits of dihedral groups." Geometriae Dedicata 147, no. 1 (2009): 159–71. http://dx.doi.org/10.1007/s10711-009-9447-1.

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Blagojević, Dragan. "Unions of dihedral groups." Semigroup Forum 33, no. 1 (1986): 293–98. http://dx.doi.org/10.1007/bf02573205.

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Bowler, Andrew. "Orthomorphisms of dihedral groups." Discrete Mathematics 167-168 (April 1997): 141–44. http://dx.doi.org/10.1016/s0012-365x(96)00222-1.

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Eliahou, Shalom, and Michel Kervaire. "Sumsets in dihedral groups." European Journal of Combinatorics 27, no. 4 (2006): 617–28. http://dx.doi.org/10.1016/j.ejc.2003.09.023.

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Timofeenko, I. A., and A. A. Shlepkin. "On Direct Products of Dihedral Groups in Locally Finite Groups." Bulletin of Irkutsk State University. Series Mathematics 47 (2024): 137–46. http://dx.doi.org/10.26516/1997-7670.2024.47.137.

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When studying infinite groups, as a rule, some finiteness conditions are imposed. For example, they require that the group be periodic, a Shunkov group, a Frobenius group, or a locally finite group. The concept of saturation allows us to effectively establish the internal structure of various classes of infinite groups. To date, a large array of results on groups saturated with various classes of finite groups has been obtained. Another important direction in the study of groups with saturation conditions is the study of groups saturated by direct products of various groups. Significant progre
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Celentani, Maria Rosaria, Antonella Leone, and Chiara Nicotera. "Infinite locally dihedral groups as automorphism groups." Ricerche di Matematica 63, S1 (2014): 69–73. http://dx.doi.org/10.1007/s11587-014-0201-0.

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Dissertations / Theses on the topic "Dihedral groups"

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Sewell, Cynthia M. (Cynthia Marie). "The Eulerian Functions of Cyclic Groups, Dihedral Groups, and P-Groups." Thesis, University of North Texas, 1992. https://digital.library.unt.edu/ark:/67531/metadc500684/.

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In 1935, Philip Hall developed a formula for finding the number of ways of generating the group of symmetries of the icosahedron from a given number of its elements. In doing so, he defined a generalized Eulerian function. This thesis uses Hall's generalized Eulerian function to calculate generalized Eulerian functions for specific groups, namely: cyclic groups, dihedral groups, and p- groups.
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Nolla, de Celis Álvaro. "Dihedral groups and G-Hilbert schemes." Thesis, University of Warwick, 2008. http://wrap.warwick.ac.uk/2000/.

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Let G ⊂ GL(2,C) be a finite subgroup acting on the complex plane C2, and consider the following diagram C2 -> X <- π:Y where π is the minimal resolution of singularities. Since Du Val in the 1930s the explicit calculation of Y was made from X by blowing up the singularity at the origin, where we lose any information about the group G in the process. But, is there a direct relation between the resolution Y and the group G? McKay [McK80] in the late 1970s was the first to realise the link between the group action and the resolution Y , thus giving birth to the so called McKay correspondence. Thi
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Allie, Imran. "Meta-Cayley Graphs on Dihedral Groups." University of the Western Cape, 2017. http://hdl.handle.net/11394/5440.

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>Magister Scientiae - MSc<br>The pursuit of graphs which are vertex-transitive and non-Cayley on groups has been ongoing for some time. There has long been evidence to suggest that such graphs are a very rarety in occurrence. Much success has been had in this regard with various approaches being used. The aim of this thesis is to find such a class of graphs. We will take an algebraic approach. We will define Cayley graphs on loops, these loops necessarily not being groups. Specifically, we will define meta-Cayley graphs, which are vertex-transitive by construction. The loops in question are de
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Strayer, Michael Christopher. "Orders of Perfect Groups with Dihedral Involution Centralizers." University of Akron / OhioLINK, 2013. http://rave.ohiolink.edu/etdc/view?acc_num=akron1365259761.

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邵慰慈 and Wai-chee Shiu. "Schur rings over dihedral groups of order 2p." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 1989. http://hub.hku.hk/bib/B31208873.

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Shiu, Wai-chee. "Schur rings over dihedral groups of order 2p /." [Hong Kong : University of Hong Kong], 1989. http://sunzi.lib.hku.hk/hkuto/record.jsp?B12364770.

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Banister, Melissa. "Separating Sets for the Alternating and Dihedral Groups." Scholarship @ Claremont, 2004. https://scholarship.claremont.edu/hmc_theses/158.

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This thesis presents the results of an investigation into the representation theory of the alternating and dihedral groups and explores how their irreducible representations can be distinguished with the use of class sums.
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Celis, Alvaro Nolla de. "DIHEDRAL GROUPS, G-HILB and M$\theta$(Q,R)." 名古屋大学多元数理科学研究科, 2009. http://hdl.handle.net/2237/12262.

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Nguyen, Long Bao. "Fusions of character tables and schur rings of dihedral groups /." Diss., CLICK HERE for online access, 2008. http://contentdm.lib.byu.edu/ETD/image/etd2443.pdf.

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Nguyen, Long Pham Bao. "Fusion of Character Tables and Schur Rings of Dihedral Groups." BYU ScholarsArchive, 2008. https://scholarsarchive.byu.edu/etd/1429.

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A finite group H is said to fuse to a finite group G if the class algebra of G is isomorphic to an S-ring over H which is a subalgebra of the class algebra of H. We will also say that G fuses from H. In this case, the classes and characters of H can fuse to give the character table of G. We investigate the case where H is the dihedral group. In many cases, G can be completely determined. In general, G can be proven to have many interesting properties. The theory is developed in terms of S-ring of Schur and Wielandt.
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Books on the topic "Dihedral groups"

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Clay Mathematics Institute Workshop on Moduli Spaces of Vector Bundles, with a View toward Coherent Sheaves (2006 Cambridge, Mass.). Grassmannians, moduli spaces, and vector bundles: Clay Mathematics Institute Workshop on Moduli Spaces of Vector Bundles, with a View towards Coherent Sheaves, October 6-11, 2006, Cambridge, Massachusetts. Edited by Ellwood D. (David) 1966- and Previato Emma. American Mathematical Society, 2011.

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Soergel Diagrammatics for Dihedral Groups. [publisher not identified], 2011.

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Noncommutative geometry and global analysis: Conference in honor of Henri Moscovici, June 29-July 4, 2009, Bonn, Germany. American Mathematical Society, 2011.

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Book chapters on the topic "Dihedral groups"

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Armstrong, M. A. "Dihedral Groups." In Undergraduate Texts in Mathematics. Springer New York, 1988. http://dx.doi.org/10.1007/978-1-4757-4034-9_4.

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Bruner, Robert, та J. Greenlees. "Dihedral groups". У Connective Real 𝐾-Theory of Finite Groups. American Mathematical Society, 2010. http://dx.doi.org/10.1090/surv/169/08.

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Bonnafé, Cédric. "Finite Dihedral Groups." In Algebra and Applications. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-70736-5_21.

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Hodge, Jonathan K., Steven Schlicker, and Ted Sundstrom. "The Dihedral Groups." In Abstract Algebra, 2nd ed. Chapman and Hall/CRC, 2023. http://dx.doi.org/10.1201/9781032634906-21.

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Johnson, F. E. A. "Group Rings of Dihedral Groups." In Syzygies and Homotopy Theory. Springer London, 2012. http://dx.doi.org/10.1007/978-1-4471-2294-4_11.

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Kimura, Hiroshi. "Hadamard Matrices and Dihedral Groups." In Codes, Designs and Geometry. Springer US, 1996. http://dx.doi.org/10.1007/978-1-4613-1423-3_6.

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Ario, Ichiro, and Machi Zawidzki. "Block Diagonalization Theory for Dihedral Groups." In Application of Group Theory to Symmetric Structures. CRC Press, 2024. http://dx.doi.org/10.1201/9781032670386-5.

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Donley, Robert W. "Semi-magic Matrices for Dihedral Groups." In Combinatorial and Additive Number Theory V. Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-10796-2_6.

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Schellwat, Holger. "Highly expanding graphs obtained from dihedral groups." In Expanding Graphs. American Mathematical Society, 1993. http://dx.doi.org/10.1090/dimacs/010/10.

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Campbell, C. M., P. P. Campbell, H. Doostie, and E. F. Robertson. "On the Fibonacci Length of Powers of Dihedral Groups." In Applications of Fibonacci Numbers. Springer Netherlands, 2004. http://dx.doi.org/10.1007/978-0-306-48517-6_9.

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Conference papers on the topic "Dihedral groups"

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Kumar, Vikas, Ali Raya, Aditi Kar Gangopadhyay, and Sugata Gangopadhyay. "Dimension Reduction Attack on Noncommutative Group Ring NTRU Over the Dihedral Group." In 2024 1st International Conference On Cryptography And Information Security (VCRIS). IEEE, 2024. https://doi.org/10.1109/vcris63677.2024.10813443.

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Dhamapurkar, Shyam, Yu-Hang Dang, Saniya Wagh, and Xiu-Hao Deng. "Quantum Walks Advantage on the Dihedral Group for Uniform Sampling Problem." In 2024 International Conference on Quantum Communications, Networking, and Computing (QCNC). IEEE, 2024. http://dx.doi.org/10.1109/qcnc62729.2024.00026.

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Al-Hasanat, Bilal, Azhana Ahmad, and Hajar Sulaiman. "Order classes of dihedral groups." In PROCEEDINGS OF THE 21ST NATIONAL SYMPOSIUM ON MATHEMATICAL SCIENCES (SKSM21): Germination of Mathematical Sciences Education and Research towards Global Sustainability. AIP Publishing LLC, 2014. http://dx.doi.org/10.1063/1.4887648.

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Thill, Matthew, and Babak Hassibi. "Frames from groups: Generalized bounds and dihedral groups." In ICASSP 2013 - 2013 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP). IEEE, 2013. http://dx.doi.org/10.1109/icassp.2013.6638825.

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DUNKL, CHARLES F. "GENERATING FUNCTIONS ASSOCIATED WITH DIHEDRAL GROUPS." In Proceedings of the International Workshop. WORLD SCIENTIFIC, 2000. http://dx.doi.org/10.1142/9789812792303_0006.

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AMBERG, B., and L. KAZARIN. "PERIODIC GROUPS SATURATED BY DIHEDRAL SUBGROUPS." In Proceedings of the Conference. WORLD SCIENTIFIC, 2011. http://dx.doi.org/10.1142/9789814350051_0002.

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Rhani, Norarida Abd, Nor Muhainiah Mohd Ali, Nor Haniza Sarmin, Ahmad Erfanian, and Muhanizah Abdul Hamid. "Multiplicative degree of some dihedral groups." In ADVANCES IN INDUSTRIAL AND APPLIED MATHEMATICS: Proceedings of 23rd Malaysian National Symposium of Mathematical Sciences (SKSM23). Author(s), 2016. http://dx.doi.org/10.1063/1.4954591.

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Hamid, Muhanizah Abdul, Nor Muhainiah Mohd Ali, Nor Haniza Sarmin, and Ahmad Erfanian. "The cubed commutativity degree of dihedral groups." In ADVANCES IN INDUSTRIAL AND APPLIED MATHEMATICS: Proceedings of 23rd Malaysian National Symposium of Mathematical Sciences (SKSM23). Author(s), 2016. http://dx.doi.org/10.1063/1.4954592.

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Abdul Hamid, Muhanizah, Nor Muhainiah Mohd Ali, Nor Haniza Sarmin, and Fadila Normahia Abd Manaf. "Relative commutativity degree of some dihedral groups." In PROCEEDINGS OF THE 20TH NATIONAL SYMPOSIUM ON MATHEMATICAL SCIENCES: Research in Mathematical Sciences: A Catalyst for Creativity and Innovation. AIP, 2013. http://dx.doi.org/10.1063/1.4801214.

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Gupta, Shalini, and Priya Rani. "Bounds on distances of certain dihedral 2-groups." In DIDACTIC TRANSFER OF PHYSICS KNOWLEDGE THROUGH DISTANCE EDUCATION: DIDFYZ 2021. AIP Publishing, 2022. http://dx.doi.org/10.1063/5.0080613.

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