Group Theory

Cohomology

20Jxx

  1. A. Adem, J. F. Carlson, D. B. Karagueuzian, and R. James Milgram, The cohomology of the Sylow 2-subgroup of the Higman-Sims group, J. Pure Appl. Algebra 164 (2001), no. 3, 275–305.[MR]
  2. Alejandro Adem, Recent developments in the cohomology of finite groups, Notices Amer. Math. Soc. 44 (1997), no. 7, 806–812.[MR]
  3. Alejandro Adem, Dikran Karagueuzian, R. James Milgram, and Kristin Umland, The cohomology of the Lyons group and double covers of alternating groups, J. Algebra 208 (1998), no. 2, 452–479.[MR]
  4. Dave Benson, Dickson invariants, regularity and computation in group cohomology, Illinois J. Math. 48 (2004), no. 1, 171–197.[MR/link]
  5. Inger Christin Borge, A cohomological approach to the classification of p-groups, PhD Thesis, University of Oxford, 2001.[link]
  6. John N. Bray and Robert A. Wilson, Examples of 3-dimensional 1-cohomology for absolutely irreducible modules of finite simple groups, J. Group Theory 11 (2008), no. 5, 669–673.[MR]
  7. Jon F. Carlson, Problems in the calculation of group cohomology, Computational Methods for Representations of Groups and Algebras (Essen, 1997), Progr. Math., vol. 173, Birkhäuser, Basel, 1999, pp. 107–120.[MR]
  8. Jon F. Carlson, Calculating group cohomology: Tests for completion, J. Symbolic Comput. 31 (2001), no. 1-2, 229–242.[MR]
  9. Jon F. Carlson, Coclass and cohomology, J. Pure Appl. Algebra 200 (2005), no. 3, 251–266.[MR]
  10. Jon F. Carlson, Cohomology, computations, and commutative algebra, Notices Amer. Math. Soc. 52 (2005), no. 4, 426–434.[MR]
  11. Jon F. Carlson, Edward L. Green, and Gerhard J. A. Schnieder, Computing Ext algebras for finite groups, J. Symbolic Comput. 24 (1997), no. 3-4, 317–325.[MR]
  12. Jon F. Carlson, John S. Maginnis, and R. James Milgram, The cohomology of the sporadic groups J2 and J3, J. Algebra 214 (1999), no. 1, 143–173.[MR]
  13. Jon F. Carlson, Lisa Townsley, Luis Valeri-Elizondo, and Mucheng Zhang, Cohomology Rings of Finite Groups, Algebras and Applications, vol. 3, Kluwer Academic Publishers, Dordrecht, 2003, pp. xvi+776.[MR]
  14. Graham Ellis and Irina Kholodna, Computing second cohomology of finite groups with trivial coefficients, Homology Homotopy Appl. 1 (1999), 163–168 (electronic).[MR]
  15. Graham Ellis and Frank Leonard, Computing Schur multipliers and tensor products of finite groups, Proc. Roy. Irish Acad. Sect. A 95 (1995), no. 2, 137–147.[MR]
  16. D. L. Flannery, Cocyclic Hadamard matrices and Hadamard groups are equivalent, J. Algebra 192 (1997), no. 2, 749–779.[MR]
  17. D. L. Flannery and E. A. O'Brien, Computing 2-cocycles for central extensions and relative difference sets, Comm. Algebra 28 (2000), no. 4, 1939–1955.[MR]
  18. David J. Green, Gröbner Bases and the Computation of Group Cohomology, Lecture Notes in Mathematics, vol. 1828, Springer-Verlag, Berlin, 2003, pp. xii+138.[MR]
  19. Derek F. Holt, Cohomology and group extensions in Magma, Discovering Mathematics with Magma, Algorithms Comput. Math., vol. 19, Springer, Berlin, 2006, pp. 221–241.[MR]
  20. Alain LeBel, D. L. Flannery, and K. J. Horadam, Group algebra series and coboundary modules, J. Pure Appl. Algebra 214 (2010), no. 7, 1291–1300.[MR/doi]
  21. Yujie Ma, Cohomology of special 128-groups, Mathematics-Mechanization Research Preprints (1999), 5 pages.[link]
  22. John Martino and Stewart Priddy, Group extensions and automorphism group rings, Homology Homotopy Appl. 5 (2003), no. 1, 53–70 (electronic).[MR]