Finite groups with two conjugacy classes of p-elements and related questions for p-blocks

被引：11

作者：

Kuelshammer, Burkhard ^{[1
]}

Navarro, Gabriel ^{[2
]}

Sambale, Benjamin ^{[1
]}

Pham Huu Tiep ^{[3
]}

机构：

[1] Univ Jena, Math Inst, D-07743 Jena, Germany

[2] Univ Valencia, Dept Algebra, E-46100 Valencia, Spain

[3] Univ Arizona, Dept Math, Tucson, AZ 85721 USA

来源：

BULLETIN OF THE LONDON MATHEMATICAL SOCIETY | 2014年 / 46卷

基金：

美国国家科学基金会;

关键词：

LOCAL ALGEBRAS; FUSION SYSTEMS; ORDER P(3); NUMBER;

D O I：

10.1112/blms/bdt099

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that a finite group in which any two nontrivial p-elements are conjugate have Sylow p-subgroups which are either elementary abelian or extra-special of order p(3) and exponent p.

引用

页码：305 / 314

页数：10

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