Exponent preserving subgroups of the finite simple groups

被引：1

作者：

Pachera, Andrea ^{[1
]}

机构：

[1] Univ Birmingham, Sch Math, Birmingham B15 2TS, W Midlands, England

来源：

COMMUNICATIONS IN ALGEBRA | 2017年 / 45卷 / 06期

关键词：

Exponent; finite simple groups; sylow subgroups; BOUNDEDLY GENERATED SUBGROUPS;

D O I：

10.1080/00927872.2016.1233213

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Given a group G denote with exp(G) its exponent, which is the least common multiple of the order of its elements. In this paper, we solve the problem of finding the finite simple groups having a proper subgroup with the same exponent. For each G with this property we will provide an explicit example of H < G with exp(G) = exp(H).

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页码：2494 / 2504

页数：11

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