Representing the sporadic groups as noncentral automorphisms of p-groups

Scientific publication - Journal Article
uoadl:3048605

Units

NKUA research material

Title

Representing the sporadic groups as noncentral automorphisms of p-groups

Languages of Item

English

Abstract

In Heineken and Liebeck [Arch. Math. 25 (1974), 8-16] it is proved that for every finite group K and odd prime p, there exists a p-group G of nilpotence class 2 and exponent p(2) on which K acts as the full group of noncentral automorphisms. The authors investigate this problem under the additional requirement that G/Z(G) be representation space for the p-modular regular representation of K. In particular, they prove that every sporadic simple group K can be so represented for any odd prime p. (C) 1996 Academic Press, Inc.

Publication year

1996

Authors

Soules, PC Woldar, AJ

Journal

Journal of Algebraic Combinatorics

Publisher

ACADEMIC PRESS INC JNL-COMP SUBSCRIPTIONS

Volume

185

Number

1

Pages

258-265

Last modified

3 years ago

License

Creative Commons Attribution-NonCommercial 4.0 (CC-BY-NC)

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