We describe the structure of the finite groups in which the sizes of noncentral conjugacy classes have the same p-part, for some prime p. We prove that they are solvable, they have a normal p-complement and their Fitting length is at most three.

Finite groups whose noncentral class sizes have the same p-part for some prime p

JABARA, Enrico
2012-01-01

Abstract

We describe the structure of the finite groups in which the sizes of noncentral conjugacy classes have the same p-part, for some prime p. We prove that they are solvable, they have a normal p-complement and their Fitting length is at most three.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10278/37375
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