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)).
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页码：97 / 114
页数：18
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