Finite p-groups with cyclic commutator subgroup and cyclic center

被引:5
作者
Finogenov, AA [1 ]
机构
[1] Russian Acad Sci, Ural Div, Inst Math & Mech, Ekaterinburg, Russia
关键词
finite group; cyclic group; p-group; isomorphism problem; commutator subgroup; central product;
D O I
10.1007/BF02312775
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In the paper, finite p-groups G with cyclic subgroup and cyclic center are described up to isomorphism under the additional condition for p = 2: [G',G] less than or equal to G'(4).
引用
收藏
页码:802 / 812
页数:11
相关论文
共 6 条
[1]   POWER AUTOMORPHISMS OF A GROUP [J].
COOPER, CDH .
MATHEMATISCHE ZEITSCHRIFT, 1968, 107 (05) :335-&
[2]  
Finogenov A. A., 1995, ALGEBRA LOGIKA+, V34, P233
[3]  
Huppert B, 1967, ENDLICHE GRUPPEN, V134
[4]  
Leong Y. K, 1974, J AUST MATH SOC, V17, P142, DOI [10.1017/S1446788700016724, DOI 10.1017/S1446788700016724]
[5]  
LEONG YK, 1978, J AUSTR MATH SOC A, V27, P125
[6]  
Sergeichuk V.V., 1977, MATRIX PROBLEMS, P150