Nilpotent groups related to an automorphism

被引：1

作者：

Erfanian, Ahmad ^{[1
]}

Ganjali, Masoumeh ^{[1
]}

机构：

[1] Ferdowsi Univ Mashhad, Dept Math, POB 1159-91775, Mashhad, Iran

来源：

PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES | 2018年 / 128卷 / 05期

关键词：

Nilpotent group; identity nilpotent group; absolute normal subgroup; NONINNER AUTOMORPHISMS; ORDER P(M); CONTAIN;

D O I：

10.1007/s12044-018-0441-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of this paper is to state some results on an a-nilpotent group, which was recently introduced by Barzegar and Erfanian (Caspian J. Math. Sci. 4(2) (2015) 271-283), for any fixed automorphism a of a group G. We define an identity nilpotent group and classify all finitely generated identity nilpotent groups. Moreover, we prove a theorem on a generalization of the converse of the known Schur's theorem. In the last section of the paper, we study absolute normal subgroups of a finite group.

引用

页数：12

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