Israel Journal of Mathematics

, Volume 194, Issue 2, pp 895–906 | Cite as

Exponent of a finite group with a fixed-point-free four-group of automorphisms

  • Pavel ShumyatskyEmail author


Let e be a positive integer and G a finite group acted on by the four-group V in such a manner that C G (V) = 1. Suppose that V contains an element v such that the centralizer C G (v) has exponent e. Then the exponent of G″, the second derived group of G, is bounded in terms of e only.


Finite Group Normal Closure Nilpotency Class Invariant Subgroup Involutory Automorphism 
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© Hebrew University Magnes Press 2012

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of BrasiliaBrasilia - DFBrazil

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