Hostname: page-component-77c89778f8-vsgnj Total loading time: 0 Render date: 2024-07-20T11:20:01.151Z Has data issue: false hasContentIssue false

Presentations for some direct products of groups

Published online by Cambridge University Press:  17 April 2009

P.E. Kenne
Affiliation:
Department of Mathematics, Institute of Advanced Studies, Australian National University, GPO Box 4, Canberra, ACT 2601, Australia.
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

We give efficient presentations for the direct product of two copies of the alternating group of degree five and the direct product of the alternating group of degree five and the binary icosahedral group.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1983

References

[1]Beyl, F. Rudolf and Tappe, Jürgen, Group extensions, representations, and the Schur multiplicator (Lecture Notes in Mathematics, 958. Springer-Verlag, Berlin, Heidelberg, New York, 1982).CrossRefGoogle Scholar
[2]Cannon, John J., “Construction of defining relations for finite groups”, Discrete Math. 5 (1973), 105129.CrossRefGoogle Scholar
[3]Cannon, John J., “Software tools for group theory”, The Santa Cruz conference on finite groups, Santa Cruz, 1979, 495502 (Proc. Symposia Pure Maths., 37. American Mathematical Society, Providence, Rhode Island, 1980).CrossRefGoogle Scholar
[4]Robertson, Edmund F., “Efficiency of finite simple groups and their covering groups”, Finite groups – coming of age (Proceedings, Concordia, Montreal, 1982. To appear).Google Scholar
[5]Sandlöbes, Günter, “Perfect groups of order less than 104”, Comm. Algebra 9 (1981), 477490.CrossRefGoogle Scholar
[6]Wiegold, J., “The Schur multiplier: an elementary approach”, Groups, St Andrews, 1981, 137154 (London Mathematical Society Lecture Note Series, 71. Cambridge University Press, Cambridge, 1982).Google Scholar