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Fixed Point Free Actions of Groups of Exponent 5

Part of: Special aspects of infinite or finite groups Structure and classification of infinite or finite groups

Published online by Cambridge University Press:  09 April 2009

Enrico Jabara
Enrico Jabara
Affiliation:
Dipartimento di Informatica, Universitá di Ca' Foscari, Via Torino 155–30174 Venezia, Italy e-mail: [email protected]
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Abstract

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In this paper we prove that if V is a vector space over a field of positive characteristric p ≠ 5 then any regular subgroup A of exponent 5 of GL(V) is cyclic. As a consequence a conjecture of Gupta and Mazurov is proved to be true.

MSC classification

Secondary: 20E25: Local properties 20F50: Periodic groups; locally finite groups
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 77 , Issue 3 , December 2004 , pp. 297 - 304
Copyright
Copyright © Australian Mathematical Society 2004

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