SOLVABILITY AND POLYCYCLICITY OF GROUP OF IA-AUTOMORPHISMS

被引：0

作者：

Ghumde, R. G. ^{[1
]}

机构：

[1] Ramdeobaba Coll Engn & Management, Dept Math, Nagpur 440013, Maharashtra, India

来源：

JP JOURNAL OF ALGEBRA NUMBER THEORY AND APPLICATIONS | 2020年 / 48卷 / 02期

关键词：

solvable group; IA-automorphism; polycyclic group;

D O I：

10.17654/NT048020203

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a finite polycyclic group with derived series that has cyclic factors of prime order, the group IA(G) of all IA-automorphisms of the group G is itself polycyclic. This result was proved by Ghumde and Ghate [3]. In this paper, we prove the same result without using the condition of finite group and here we also obtain sufficient condition for IA(G) to be solvable.

引用

页码：203 / 209

页数：7

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