Finite groups with real conjugacy classes of prime size |
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| Authors: | Silvio Dolfi Emanuele Pacifici Lucia Sanus |
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| Institution: | 1.Dipartimento di Matematica,Università di Firenze,Firenze,Italy;2.Dipartimento di Matematica,Università degli Studi di Milano,Milano,Italy;3.Departament d’álgebra, Facultat de Matemàtiques,Universitat de València,Burjassot, Valéncia,Spain |
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| Abstract: | 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. |
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