Finite groups whose noncentral class sizes have the same p-part for some prime p |
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| Authors: | Carlo Casolo Silvio Dolfi Enrico Jabara |
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| Institution: | 1. Dipartimento di Matematica U. Dini, Università degli Studi di Firenze, viale Morgagni 67/A, 50134, Firenze, Italy
2. Dipartimento di Matematica Applicata, Università Ca’Foscari, Dorsoduro 3825/E, 30123, Venezia, Italy
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| 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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