ON THE EXISTENCE OF NONINNER AUTOMORPHISMS OF ORDER TWO IN FINITE 2-GROUPS

被引：17
|
作者：
Jamali, A. R. [1 ]
Viseh, M. [1 ]
机构：
[1] Tarbiat Moallem Univ, Fac Math Sci & Comp, Tehran 15618, Iran
来源：
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2013年 / 87卷 / 02期
关键词：
finite p-groups; noninner automorphism; powerful p-groups; cyclic commutator subgroup; P-GROUPS;
D O I：
10.1017/S0004972712000706
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we prove that every nonabelian finite 2-group with a cyclic commutator subgroup has a noninner automorphism of order two fixing either Phi(G) or Z(G) elementwise. This, together with a result of Peter Schmid on regular p-groups, extends our result to the class of nonabelian finite p-groups with a cyclic commutator subgroup.
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页码：278 / 287
页数：10
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