Finite groups can be generated by a π-subgroup and a π′-subgroup

被引：2

作者：

Breuer, Thomas ^{[1
]}

Guralnick, Robert M. ^{[2
]}

机构：

[1] Rhein Westfal TH Aachen, Lehrstuhl Algebra & Zahlentheorie, Pontdriesch 14-16, D-52062 Aachen, Germany

[2] Univ Southern Calif, Dept Math, Los Angeles, CA 90089 USA

来源：

ISRAEL JOURNAL OF MATHEMATICS | 2023年 / 257卷 / 01期

关键词：

D O I：

10.1007/s11856-023-2532-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Answering a question of Dan Haran and generalizing some results of Aschbacher-Guralnick and Suzuki, we prove that given a set of primes pi, any finite group can be generated by a pi-subgroup and a pi'-subgroup. This gives a new free product description of a free profinite group.

引用

页码：56 / 70

页数：15

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