NON-INNER AUTOMORPHISMS OF ORDER p IN FINITE p-GROUPS OF COCLASS 4 AND 5

被引：1

作者：

Patali, Komma ^{[1
]}

机构：

[1] Indian Inst Sci Educ & Res Thiruvananthapuram, Sch Math, Thiruvananthapuram 695551, India

来源：

INTERNATIONAL JOURNAL OF GROUP THEORY | 2024年 / 13卷 / 01期

关键词：

Finite p -groups; Non -inner automorphisms; Coclass; NONINNER AUTOMORPHISMS; EXISTENCE;

D O I：

10.22108/ijgt.2023.135843.1816

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A long-standing conjecture asserts that every finite nonabelian p-group has a non-inner automorphism of order p. This paper proves the conjecture for finite p-groups of coclass 4 and 5 (p >= 5). We also prove the conjecture for an odd order nonabelian p-group G with cyclic center satisfying CG(Gp gamma 3(G)) boolean AND Z3(G) <= Z(phi(G)).

引用

页码：97 / 114

页数：18

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