The aim of this paper is studying the groups in which the zeros of every irreducible character are restricted in being p-elements, for some fixed prime p. In particular, we classify the groups whose irreducible characters vanish only on involutions. Some remarkable examples are also presented.
Finite groups whose irreducible characters vanish only on p-elements / D. BUBBOLONI; S. DOLFI; P. SPIGA. - In: JOURNAL OF PURE AND APPLIED ALGEBRA. - ISSN 0022-4049. - STAMPA. - 213:(2009), pp. 370-376. [10.1016/j.jpaa.2008.07.001]
Finite groups whose irreducible characters vanish only on p-elements
BUBBOLONI, DANIELA;DOLFI, SILVIO;
2009
Abstract
The aim of this paper is studying the groups in which the zeros of every irreducible character are restricted in being p-elements, for some fixed prime p. In particular, we classify the groups whose irreducible characters vanish only on involutions. Some remarkable examples are also presented.
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