Intersections of odd order Hall subgroups

被引：17

作者：

Dolfi, S ^{[1
]}

机构：

[1] Dipartimento Matemat, I-50134 Florence, Italy

来源：

BULLETIN OF THE LONDON MATHEMATICAL SOCIETY | 2005年 / 37卷

关键词：

D O I：

10.1112/S0024609304003807

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Given a set pi of odd primes and a pi-solvable finite group G, one can choose three (not necessarily distinct) Hall pi-subgroups of G whose intersection is O-pi (G). This statement relies on a result concerning long orbits in coprime actions of groups of odd order.

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页码：61 / 66

页数：6

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