AUTOMORPHISMS OF A FINITE p-GROUP WITH CYCLIC FRATTINI SUBGROUP

被引:2
|
作者
Soleimani, Rasoul [1 ]
机构
[1] Payame Noor Univ, Dept Math, Tehran, Iran
关键词
Automorphism group; Finite p-group; Frattini subgroup;
D O I
10.22108/ijgt.2017.21219
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Let G be a group and Aut(Phi)(G) denote the group of all automorphisms of G centralizing G/(Phi)(G) elementwise. In this paper, we characterize the fi nite p -groups G with cyclic Frattini subgroup for which vertical bar Aut(Phi) (G) : Inn(G)vertical bar = p
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页码:9 / 16
页数:8
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