Finite groups with real conjugacy classes of prime size

作者：Dolfi Silvio^*; Pacifici Emanuele; Sanus Lucia

来源：Israel Journal of Mathematics, 2010, 175(1): 179-189.

DOI：10.1007/s11856-010-0008-y

We determine the structure of a finite group G whose noncentral real conjugacy classes have prime size. In particular, we show that G is solvable and that the set of the sizes of its real classes is one of the following: {1}, {1, 2}, {1, p}, or {1, 2, p}, where p is an odd prime.

• 出版日期2010-1