Finite p-groups of class 3 have noninner automorphisms of order p

被引：17

作者：

Abdollahi, Alireza ^{[1
,2
]}

Ghoraishi, Mohsen ^{[1
]}

Wilkens, Bettina ^{[3
]}

机构：

[1] Univ Isfahan, Dept Math, Esfahan 8174673441, Iran

[2] Inst Res Fundamental Sci IPM, Sch Math, Tehran, Iran

[3] Univ Botswana, Dept Math, Gaborone, Botswana

来源：

BEITRAGE ZUR ALGEBRA UND GEOMETRIE-CONTRIBUTIONS TO ALGEBRA AND GEOMETRY | 2013年 / 54卷 / 01期

关键词：

Finite p-groups; Non-inner automorphisms;

D O I：

10.1007/s13366-012-0090-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let p be a prime. We prove that a finite p-group of class 3 has a noninner automorphism of order p. A result counting derivations from an abelian p-group to an elementary abelian one is of independent interest.

引用

页码：363 / 381

页数：19

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