ListarMAT_Articles por tema "20E45"
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Invariant class sizes and solvability of finite groups under coprime action
Wiley (2015)Suppose that A and G are finite groups of relatively prime orders such that A acts on G via automorphisms, and then, A acts on the set of conjugacy classes of G. We study several arithmetical properties on the sizes of ... -
Simplicity of normal subgroups and conjugacy class sizes
Springer (2013)Given a finite group G which possesses a non-abelian simple normal subgroup N having exactly four G -class sizes, we prove that N is isomorphic to PSL (2,2a) with a≥2 . Thus, we obtain an extension for normal subgroups of ...