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Journal articles on the topic 'Group of Four'

Author: Grafiati

Published: 5 June 2025

Last updated: 16 July 2025

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1

Ellis, Peter, and Jane Abbott. "Supervision, part four: group supervision." Journal of Kidney Care 7, no. 1 (2022): 42–44. http://dx.doi.org/10.12968/jokc.2022.7.1.42.

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2

Brendle, Tara E., and Dan Margalit. "The level four braid group." Journal für die reine und angewandte Mathematik (Crelles Journal) 2018, no. 735 (2018): 249–64. http://dx.doi.org/10.1515/crelle-2015-0032.

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AbstractBy evaluating the Burau representation att=-1, one obtains a symplectic representation of the braid group. We study the resulting congruence subgroups of the braid group, namely, the preimages of the principal congruence subgroups of the symplectic group. Our main result is that the level four congruence subgroup is equal to the group generated by squares of Dehn twists. We also show that the image of the Brunnian subgroup of the braid group under the symplectic representation is the level four congruence subgroup.

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3

Lechtenfeld, Olaf, and Stuart Samuel. "Four-dimensional twisted group lattices." Nuclear Physics B 449, no. 1-2 (1995): 406–32. http://dx.doi.org/10.1016/0550-3213(95)00227-j.

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4

KOHLS, MARTIN, and MÜFİT SEZER. "SEPARATING INVARIANTS FOR THE KLEIN FOUR GROUP AND CYCLIC GROUPS." International Journal of Mathematics 24, no. 06 (2013): 1350046. http://dx.doi.org/10.1142/s0129167x13500468.

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We consider indecomposable representations of the Klein four group over a field of characteristic 2 and of a cyclic group of order pm with p, m coprime over a field of characteristic p. For each representation, we explicitly describe a separating set in the corresponding ring of invariants. Our construction is recursive and the separating sets we obtain consist of almost entirely orbit sums and products.

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5

Hurd, Spencer P., and Dinesh G. Sarvate. "Group divisible designs with block size four and two groups." Discrete Mathematics 308, no. 13 (2008): 2663–73. http://dx.doi.org/10.1016/j.disc.2005.02.024.

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6

Henson, D., D. G. Sarvate, and S. P. Hurd. "Group divisible designs with three groups and block size four." Discrete Mathematics 307, no. 14 (2007): 1693–706. http://dx.doi.org/10.1016/j.disc.2006.09.017.

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7

Scheidlinger, Saul. "Group Dynamics and Group Psychotherapy Revisited: Four Decades Later." International Journal of Group Psychotherapy 47, no. 2 (1997): 141–59. http://dx.doi.org/10.1080/00207284.1997.11490812.

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8

Duckitt, John, and Cristina Parra. "Dimensions of Group Identification and Out-Group Attitudes in Four Ethnic Groups in New Zealand." Basic and Applied Social Psychology 26, no. 4 (2004): 237–47. http://dx.doi.org/10.1207/s15324834basp2604_1.

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9

Yelena Mukhametshina. "GROUP OF FOUR HAS BEST CHANCE." Current Digest of the Russian Press, The 73, no. 011 (2021): 9–10. http://dx.doi.org/10.21557/dsp.67052308.

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10

Griffith, W. P. "Bicentenary of Four Platinum Group Metals." Platinum Metals Review 48, no. 4 (2004): 182–89. http://dx.doi.org/10.1595/147106704x4844.

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11

Tienken, Christopher H. "The Core Four of Group Work." Kappa Delta Pi Record 58, no. 4 (2022): 152–54. http://dx.doi.org/10.1080/00228958.2022.2110812.

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12

Naitoh, Ken. "Four-Group Equation of Genetic Algorithm." JSME international journal. Ser. C, Dynamics, control, robotics, design and manufacturing 38, no. 2 (1995): 240–48. http://dx.doi.org/10.1299/jsmec1993.38.240.

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13

Albar, Muhammad A. "On a four-generator Coxeter group." International Journal of Mathematics and Mathematical Sciences 24, no. 12 (2000): 821–23. http://dx.doi.org/10.1155/s0161171200002702.

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14

Griffith, W. P. "Bicentenary of Four Platinum Group Metals." Platinum Metals Review 47, no. 4 (2003): 175–83. http://dx.doi.org/10.1595/003214003x474175183.

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The years 2002 to 2004 mark the bicentenaries of the discoveries of rhodium, palladium, iridium and osmium. Two remarkable people were responsible for their discoveries – William Hyde Wollaston (1766–1828) the discoverer of rhodium and palladium, and his friend Smithson Tennant (1761–1815) the discoverer of iridium and osmium. This and a subsequent paper will seek to retell the stories of their discoveries, and to indicate the growing usefulness of the metals throughout the nineteenth century to their importance today. In this first part we will discuss Wollaston and his discoveries. Part II,

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15

Griffith, W. P. "Bicentenary of Four Platinum Group Metals." Platinum Metals Review 48, no. 4 (2004): 182–89. http://dx.doi.org/10.1595/003214004x484182189.

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This paper follows an earlier one on the discoveries of rhodium and palladium in 1803 by William Hyde Wollaston . In 1804, two more of the platinum metals: iridium and osmium were discovered, also in London. This paper concerns the bicentenary of their discovery by Wollaston’s friend and collaborator, Smithson Tennant.

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16

CHAUDHURI, DISHARI, and ANUPAM SAIKIA. "On group algebras with unit groups of derived length at most four." Publicationes Mathematicae Debrecen 86, no. 1-2 (2015): 39–48. http://dx.doi.org/10.5486/pmd.2015.6012.

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17

Pinner, Christopher. "The integer group determinants for the symmetric group of degree four." Rocky Mountain Journal of Mathematics 49, no. 4 (2019): 1293–305. http://dx.doi.org/10.1216/rmj-2019-49-4-1293.

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18

Shumyatsky, Pavel. "Exponent of a finite group with a four-group of automorphisms." Monatshefte für Mathematik 168, no. 1 (2011): 113–24. http://dx.doi.org/10.1007/s00605-011-0331-3.

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19

Väinölä, Risto, Asta Audzijonytè, and Bruce J. Riddoch. "Morphometric discrimination among four species of the Mysis relicta group." Fundamental and Applied Limnology 155, no. 3 (2002): 493–515. http://dx.doi.org/10.1127/archiv-hydrobiol/155/2002/493.

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20

Edmonds, Allan L. "Construction of Group Actions of Four-Manifolds." Transactions of the American Mathematical Society 299, no. 1 (1987): 155. http://dx.doi.org/10.2307/2000487.

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21

Edmonds, Allan L. "Construction of group actions on four-manifolds." Transactions of the American Mathematical Society 299, no. 1 (1987): 155. http://dx.doi.org/10.1090/s0002-9947-1987-0869405-7.

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22

Lamb, Susan B., and Thomas G. Hollis. "Four-stage model for group dream work." Psychotherapy: Theory, Research, Practice, Training 31, no. 4 (1994): 708–14. http://dx.doi.org/10.1037/0033-3204.31.4.708.

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23

Knecht, Stefan, Örs Legeza, and Markus Reiher. "Communication: Four-component density matrix renormalization group." Journal of Chemical Physics 140, no. 4 (2014): 041101. http://dx.doi.org/10.1063/1.4862495.

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24

Dao, Dung Ngoc, Chau Yuen, Chintha Tellambura, Yong Liang Guan, and Tjeng Thiang Tjhung. "Four-Group Decodable Space–Time Block Codes." IEEE Transactions on Signal Processing 56, no. 1 (2008): 424–30. http://dx.doi.org/10.1109/tsp.2007.906729.

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25

Kobayashi, Masaki. "Hopfield neural networks using Klein four-group." Neurocomputing 387 (April 2020): 123–28. http://dx.doi.org/10.1016/j.neucom.2019.12.127.

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26

Edmonds, Allan L. "Aspects of group actions on four-manifolds." Topology and its Applications 31, no. 2 (1989): 109–24. http://dx.doi.org/10.1016/0166-8641(89)90075-8.

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27

Brouwer, A. E., A. Schrijver, and H. Hanani. "Group divisible designs with block-size four." Discrete Mathematics 306, no. 10-11 (2006): 939–47. http://dx.doi.org/10.1016/j.disc.2006.03.015.

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28

Fré, P., and F. Gliozzi. "Four-dimensional superstrings live on group manifolds." Physics Letters B 208, no. 2 (1988): 203–8. http://dx.doi.org/10.1016/0370-2693(88)90418-2.

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29

Romano, John L., and Brandon A. Sullivan. "Simulated group counseling for group work training: A four-year research study of group development." Journal for Specialists in Group Work 25, no. 4 (2000): 366–75. http://dx.doi.org/10.1080/01933920008411680.

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30

A. Zain, Adnan. "On Group Codes Over Elementary Abelian Groups." Sultan Qaboos University Journal for Science [SQUJS] 8, no. 2 (2003): 145. http://dx.doi.org/10.24200/squjs.vol8iss2pp145-151.

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For group codes over elementary Abelian groups we present definitions of the generator and the parity check matrices, which are matrices over the ring of endomorphism of the group. We also lift the theorem that relates the parity check and the generator matrices of linear codes over finite fields to group codes over elementary Abelian groups. Some new codes that are MDS, self-dual, and cyclic over the Abelian group with four elements are given.

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31

Ge, G., and C. W. H. Lam. "Resolvable group divisible designs with block size four and group size six." Discrete Mathematics 268, no. 1-3 (2003): 139–51. http://dx.doi.org/10.1016/s0012-365x(03)00039-6.

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32

Ge, Gennian, and R. Rees. "On group-divisible designs with block size four and group-type 6um1." Discrete Mathematics 279, no. 1-3 (2004): 247–65. http://dx.doi.org/10.1016/s0012-365x(03)00272-3.

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33

Wei, Hengjia, and Gennian Ge. "Group divisible designs with block size four and group typegum1for more smallg." Discrete Mathematics 313, no. 20 (2013): 2065–83. http://dx.doi.org/10.1016/j.disc.2013.04.018.

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34

Li, Xiangqian, Yanxun Chang, and Junling Zhou. "Group divisible 3‐designs with block size four and group type 1ns1." Journal of Combinatorial Designs 27, no. 11 (2019): 688–700. http://dx.doi.org/10.1002/jcd.21673.

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35

Hurd, Spencer P., and Dinesh G. Sarvate. "Odd and even group divisible designs with two groups and block size four." Discrete Mathematics 284, no. 1-3 (2004): 189–96. http://dx.doi.org/10.1016/j.disc.2004.01.010.

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36

Aylward, Bowman, Cole, and Feder. "Four Reflections on a Gestalt Peer Consultation Group." Gestalt Review 23, no. 2 (2019): 97. http://dx.doi.org/10.5325/gestaltreview.23.2.0097.

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37

Roche, Alan. "Four Group-theoretic Proofs of Wedderburn's Little Theorem." Irish Mathematical Society Bulletin 0088 (2021): 57–68. http://dx.doi.org/10.33232/bims.0088.57.68.

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38

Finch, W. Holmes, and Mercedes K. Schneider. "Misclassification Rates for Four Methods of Group Classification." Educational and Psychological Measurement 66, no. 2 (2006): 240–57. http://dx.doi.org/10.1177/0013164405278579.

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39

Sawilowsky, Shlomo, D. LYNN Kelley, R. CLIFFORD Blair, and Barry S. Markman. "Meta-Analysis and the Solomon Four-Group Design." Journal of Experimental Education 62, no. 4 (1994): 361–76. http://dx.doi.org/10.1080/00220973.1994.9944140.

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40

Bin Ahmad, Abd Ghafur, Muna A. Al-Mulla, and Martin Edjvet. "Asphericity of a length four relative group presentation." Journal of Algebra and Its Applications 16, no. 04 (2017): 1750076. http://dx.doi.org/10.1142/s0219498817500761.

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We consider the relative group presentation [Formula: see text], where [Formula: see text] and [Formula: see text]. We show modulo a small number of exceptional cases exactly, when [Formula: see text] is aspherical. If [Formula: see text], then the exceptional cases occur when [Formula: see text] is isomorphic to one of [Formula: see text] or [Formula: see text].

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41

Yelizaveta Antonova. "GROUP OF FOUR NOT READY TO MEET YET." Current Digest of the Russian Press, The 72, no. 008 (2020): 15–16. http://dx.doi.org/10.21557/dsp.58098899.

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42

Háková, Lenka, Jiří Hrivnák, and Jiří Patera. "Four families of Weyl group orbit functions ofB3andC3." Journal of Mathematical Physics 54, no. 8 (2013): 083501. http://dx.doi.org/10.1063/1.4817340.

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43

Fernandez, J. P., D. B. McKenzie, and P. R. Roberts. "Four-valve endocarditis caused by group G Streptoccocci." Heart 93, no. 9 (2007): 1039. http://dx.doi.org/10.1136/hrt.2006.099465.

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44

Kreher, D. L., and D. R. Stinson. "Small group-divisible designs with block size four." Journal of Statistical Planning and Inference 58, no. 1 (1997): 111–18. http://dx.doi.org/10.1016/s0378-3758(96)00064-x.

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45

Ge, Gennian. "Resolvable group divisible designs with block size four." Discrete Mathematics 243, no. 1-3 (2002): 109–19. http://dx.doi.org/10.1016/s0012-365x(00)00460-x.

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46

Ling, Alan C. H., and Charles J. Colbourn. "Modified group divisible designs with block size four." Discrete Mathematics 219, no. 1-3 (2000): 207–21. http://dx.doi.org/10.1016/s0012-365x(99)00342-8.

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47

Chotorlishvili, L., P. Zięba, I. Tralle, and A. Ugulava. "Zitterbewegung and symmetry switching in Klein’s four-group." Journal of Physics A: Mathematical and Theoretical 51, no. 3 (2017): 035004. http://dx.doi.org/10.1088/1751-8121/aa9a2c.

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48

Zhang, Yao‐Zhong. "The Virasoro algebra and group in four dimensions." Journal of Mathematical Physics 29, no. 5 (1988): 1241–43. http://dx.doi.org/10.1063/1.528199.

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49

Freeman, G. K., and S. C. Richards. "How much personal care in four group practices?" BMJ 301, no. 6759 (1990): 1028–30. http://dx.doi.org/10.1136/bmj.301.6759.1028.

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50

Fernandez, J. P., D. B. McKenzie, and P. R. Roberts. "Four-valve endocarditis caused by group G Streptoccocci." Case Reports 2009, feb18 1 (2009): bcr2006099465a. http://dx.doi.org/10.1136/bcr.2006.099465a.

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