On groups with relatively small normalizers of nonabelian subgroups

被引：0
作者：
V. A. Antonov
机构：
[1] South Ural State University,
来源：
Proceedings of the Steklov Institute of Mathematics | 2014年 / 285卷
关键词：
finite group; subgroup; normalizer; centralizer;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We investigate the structure of a finite nonsolvable group G in which the index |NG(A): ACG(A)| is either one or a prime for any nonabelian subgroup A.
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页码：19 / 24
页数：5
相关论文
共 10 条
[1]  
Smith S D(1973)On finite groups with a certain Sylow normalizer. I, II J. Algebra 26 343-367
[2]  
Tyrer A P(1987)Locally finite groups with small normalizers Math. Notes 41 169-172
[3]  
Antonov V A(1989)Locally finite groups with small normalizers. II Soviet Math. (Iz. VUZ) 33 11-14
[4]  
Antonov V A(2003)On groups with relatively large centralizers Russian Math. (Iz. VUZ) 47 6-15
[5]  
Amineva N N(2005)On finite 2-groups with relatively large centralizers of noninvariant subgroups Acta Appl. Math. 85 11-15
[6]  
Antonov V A(2011)On finite nilpotent groups with relatively large centralizers of noninvariant subgroups Russian Math. (Iz. VUZ) 55 9-12
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