Automorphism Groups of 2-Groups of Coclass at Most 3

被引:0
作者
Alireza Abdollahi
Nafiseh Rahmani
机构
[1] University of Isfahan,Department of Mathematics
[2] Institute for Research in Fundamental Sciences (IPM),School of Mathematics
来源
Bulletin of the Malaysian Mathematical Sciences Society | 2020年 / 43卷
关键词
p-group; Automorphism; Coclass; Coclass tree; Primary 20D15; Secondary 20D45;
D O I
暂无
中图分类号
学科分类号
摘要
It is proved that automorphism groups of all 2-groups of coclass 2 are 2-groups, except only three ones; for 2-groups of coclass 3, there are only 20 groups and exactly six infinite sequences of 2-groups whose automorphism groups are not 2-groups.
引用
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页码:2313 / 2320
页数:7
相关论文
共 12 条
[1]  
Blackburn N(1958)On a special class of Acta Math. 100 45-92
[2]  
Eick B(2006)-groups J. Algebra 300 91-101
[3]  
Eick B(2008)Automorphism groups of Bull. Lond. Math. Soc. 40 274-288
[4]  
Leedham-Green CR(2007)-groups J. Algebra 312 294-329
[5]  
Helleloid GT(1980)On the classification of prime-power groups by coclass Arch. Math. 35 193-203
[6]  
Martin U(1999)The automorphism group of a finite J. Aust. Math. Soc. 67 356-379
[7]  
Leedham-Green CR(1986)-group is almost always a Bull. Am. Math. Soc. N.S. 15 78-82
[8]  
Newman MF(1999)-group Trans. Am. Math. Soc. 351 131-169
[9]  
Mann A(undefined)Space groups and groups of prime power order undefined undefined undefined-undefined
[10]  
Martin U(undefined)Some questions about undefined undefined undefined-undefined