Fixed-point-free elements in p-groups

被引：0

作者：

Eleonora Crestani

Pablo Spiga

机构：

[1] Università degli Studi di Padova,Dipartimento di Matematica Pura ed Applicata

来源：

Israel Journal of Mathematics | 2010年 / 180卷

关键词：

Conjugacy Class; Permutation Group; Irreducible Character; Winning Coalition; Transitive Group;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper we prove that there exists no function F(m, p) (where the first argument is an integer and the second a prime) such that, if G is a finite permutation p-group with m orbits, each of size at least pF(m,p), then G contains a fixed-point-free element. In particular, this gives an answer to a conjecture of Peter Cameron; see [4], [6].

引用

页码：413 / 424

页数：11

共 14 条

[1]

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[2]

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[3]

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[4]

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[5]

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[6]

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[7]

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[8]

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[9]

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[10]

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