We describe the structure of the finite groups in which the sizes of noncen- tral 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 / C. Casolo; S. Dolfi; E. Jabara. - In: ISRAEL JOURNAL OF MATHEMATICS. - ISSN 1565-8511. - STAMPA. - 192:(2012), pp. 197-219. [10.1007/s11856-012-0022-3]
FINITE GROUPS WHOSE NONCENTRAL CLASS SIZES HAVE THE SAME p-PART FOR SOME PRIME p
CASOLO, CARLO;DOLFI, SILVIO;
2012
Abstract
We describe the structure of the finite groups in which the sizes of noncen- tral 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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