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Elementary abelian operator groups and admissible formations
Published online by Cambridge University Press: 09 April 2009
Abstract
Suppose the elementary abelian group A acts on the group G where A and G have relatively prime orders. If CG(a) belongs to some formation F for all non-identity elements a in A, does it follow that G belongs to F? For many formations, the answer is shown to be yes provided that the rank of A is sufficiently large.
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- Copyright © Australian Mathematical Society 1983