Representing the sporadic groups as noncentral automorphisms of p-groups
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Title
Representing the sporadic groups as noncentral automorphisms of p-groups
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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
Publisher
Volume
185
Number
1
Pages
258-265
Last modified
Persistent Url
https://pergamos.lib.uoa.gr/uoa/dl/object/3048605
License
Creative Commons Attribution-NonCommercial 4.0 (CC-BY-NC)
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