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. © 2008 Elsevier B.V. All rights reserved.
Bubboloni, D., Dolfi, S., Spiga, P. (2009). Finite Groups whose irreducible characters vanish only on $p$-elements. JOURNAL OF PURE AND APPLIED ALGEBRA, 213(3), 370-376 [10.1016/j.jpaa.2008.07.001].
Finite Groups whose irreducible characters vanish only on $p$-elements
SPIGA, PABLO
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. © 2008 Elsevier B.V. All rights reserved.
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