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Start Over Descriptor "Conjugacy class" Topic fc-groups Journal proceedings of the american mathematical society
1 results on '"Conjugacy class"'

1. SQUARING A CONJUGACY CLASS AND COSETS OF NORMAL SUBGROUPS.

Author

GURALNICK, ROBERT and NAVARRO, GABRIEL

Subjects
*CONJUGACY classes, *GROUP theory, *HILBERT'S tenth problem, *FINITE groups, *FC-groups
Abstract

Let G be a finite group and let K be the conjugacy class of x ∈ G. If K² is a conjugacy class of G, then [x, G] is solvable. If the order of x is a power of prime, then [x, G] has a normal p-complement. We also prove some related results on the solvability of certain normal subgroups when a non-trivial coset has certain properties. [ABSTRACT FROM AUTHOR]

Published
2016
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