Finite groups whose irreducible characters vanish only on p-elements

Finite groups whose irreducible characters vanish only on p-elements
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DOI:
10.1016/j.jpaa.2008.07.001
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发表时间:
2009-03
影响因子:
0.8
通讯作者:
D. Bubboloni;S. Dolfi;Pablo Spiga
D. Bubboloni;S. Dolfi;Pablo Spiga
中科院分区:
数学2区
文献类型:
--
作者:
D. Bubboloni;S. Dolfi;Pablo Spiga

文献摘要

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本文的目的是研究对于某定素数p,其中每个不可约的元的零都被限制为p元的群。特别地,我们分类了不可约的元只在对合上消失的群。文中还列举了一些值得注意的例子。
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.