Counting maximal abelian subgroups of p-groups

被引：2

作者：

Isaacs, I. M. ^{[1
]}

Yanovski, Lior ^{[2
]}

机构：

[1] Univ Wisconsin, Madison, WI 53706 USA

[2] Max Planck Inst Math, Bonn, Germany

来源：

ARCHIV DER MATHEMATIK | 2022年 / 119卷 / 01期

关键词：

p-group; Maximal abelian subgroup; Exponent of group;

D O I：

10.1007/s00013-022-01739-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that the number of maximal abelian subgroups of a finite p-group is congruent to 1 modulo p. Furthermore, if p > 2, the same can be said for the maximal elementary abelian subgroups, and more generally, for the maximal abelian subgroups of any given p-power exponent.

引用

页码：1 / 9

页数：9

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