Groups of Prime Power Order Isomorphic to Their Automorphism Groups

被引：0

作者：

Abdollahi, Alireza ^{[1
]}

Rahmani, Nafiseh ^{[1
]}

机构：

[1] Univ Isfahan, Fac Math & Stat, Dept Pure Math, Esfahan 8174673441, Iran

来源：

BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY | 2022年 / 48卷 / 05期

关键词：

Automorphism group; p-group; Coclass;

D O I：

10.1007/s41980-021-00637-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that there is no finite non-trivial p-group of coclass at most 4 except the dihedral group of order 8 which is isomorphic to its automorphism group.

引用

页码：2079 / 2087

页数：9

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