ON FINITE p-GROUPS WHOSE CENTRAL AUTOMORPHISMS ARE ALL CLASS PRESERVING

被引：8

作者：

Yadav, Manoj K. ^{[1
]}

机构：

[1] Harish Chandra Res Inst, Sch Math, Allahabad 211019, Uttar Pradesh, India

来源：

COMMUNICATIONS IN ALGEBRA | 2013年 / 41卷 / 12期

关键词：

Central automorphism; Class preserving automorphism; Finite p-group; INNER;

D O I：

10.1080/00927872.2012.706347

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We obtain certain results on a finite p-group whose central automorphisms are all class preserving. In particular, we prove that if G is a finite p-group whose central automorphisms are all class preserving, then d(G) is even, where d(G) denotes the number of elements in any minimal generating set for G. As an application of these results, we obtain some results regarding finite p-groups whose automorphisms are all class preserving.

引用

页码：4576 / 4592

页数：17

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