Computing 2-cocycles for central extensions and relative difference sets

Communications in Algebra

Volumn 28, Issue 4, 2000, Pages 1939-1955

  Flannery, D L ^a   O'Brien, E A ^b  

^a NATIONAL UNIVERSITY OF IRELAND   (Ireland)

^b UNIVERSITY OF AUCKLAND   (New Zealand)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034379583     PISSN: 00927872     EISSN: None     Source Type: Journal    
DOI: 10.1080/00927870008826937     Document Type: Article

References (19)

1. Wieb Bosma, John Cannon and Catherine Playoust (1997), "The MAGMA Algebra System I: The User Language", J. Symbolic Comput. 24, 235-265.
2. W. de Launey and K.J. Horadam (1993), "A weak difference set construction for higher dimensional designs", Des. Codes Cryptogr. 3, 75-87.
3. W. de Launey, D.L. Flannery and K.J. Horadam, "Cocyclic Hadamard matrices and difference sets", Discrete Appl. Math., to appear.
4. A. Drisko (1998), "Transversals in row-Latin rectangles", J. Combin. Theory Ser. A 84 (no. 2), 181-195.
5. Bettina Eick and E.A. O'Brien (1999), "Enumerating p-groups", J. Austral. Math. Soc. Ser. A.
6. J.E.H. Elliott and A.T. Butson (1966), "Relative difference sets", Illinois J. Math. 10, 517-531.
7. G. Ellis and I. Kholodna, "Computing second cohomology of finite groups with trivial coefficients", Homology, Homotopy and Applications, to appear.
8. D.L. Flannery (1996), "Calculation of cocyclic matrices", J. Pure Appl. Algebra 112, 181-190.
9. D.L. Flannery (1997), "Cocyclic Hadamard matrices and Hadamard groups are equivalent", J. Algebra 192, 749-779.
10. The GAP Team (1998), GAP - Groups, Algorithms, and Programming, Version 4. Lehrstuhl D für Mathematik, RWTH Aachen, and School of Mathematical and Computational Sciences, University of St Andrews.
11. D.F. Holt (1984), "The Calculation of the Schur Multiplier of a Permutation Group", Computational Group Theory, (Durham, 1982), pp. 307-318. Academic Press, London, New York.
12. K.J. Horadam (1998), "Central relative (v,w,v,v/w)-differencesets", Research Report No. 3, Royal Melbourne Institute of Technology.
13. K.J. Horadam and W. de Launey (1993), "Cocyclic development of designs" J. Algebraic Combin. 2, 267-290.
14. K.J. Horadam and W. de Launey (1995), "Generation of cocyclic Hadamard matrices", in Computational Algebra and Number Theory, W. Bosma and A. van der Poorten (eds.), pp. 279-290. Kluwer Academic, Dordrecht.
15. N. Ito (1994), "On Hadamard groups", J. Algebra 168, 981-987.
16. Gregory Karpilovsky (1987), The Schur multiplier. Clarendon Press, Oxford.
17. E.A. O'Brien (1994), "Isomorphism testing for p-groups", J. Symbolic Comput. 17, 133-147.
18. A. Pott (1996), "A survey on relative difference sets", in Groups, difference sets and the Monster, (Columbus, OH, 1993), pp. 195-232. Walter de Gruyter, Berlin.
19. Charles C. Sims (1994), Computation with finitely presented groups. Cambridge University Press.