We study finite groups G in which the number of distinct prime divisors of the length of the conjugacy classes is at most three. In particular we prove, under this condition, a conjecture of B. Huppert on the number of prime divisors of ÷G/Z(G)÷. © 1994 Springer-Verlag.
Finite groups with small conjugacy classes / C. CASOLO. - In: MANUSCRIPTA MATHEMATICA. - ISSN 0025-2611. - STAMPA. - 82:(1994), pp. 171-189. [10.1007/BF02567696]
Finite groups with small conjugacy classes
CASOLO, CARLO
1994
Abstract
We study finite groups G in which the number of distinct prime divisors of the length of the conjugacy classes is at most three. In particular we prove, under this condition, a conjecture of B. Huppert on the number of prime divisors of ÷G/Z(G)÷. © 1994 Springer-Verlag.
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