Groups with finitely many normalizers of non-abelian subgroups

被引：0

作者：

De Mari, Fausto ^{[1
]}

de Giovanni, Francesco ^{[1
]}

机构：

[1] Univ Napoli Federico II, Dipartimento Matemat & Applicaz, Complesso Univ Monte S Angelo,Via Cintia, I-80126 Naples, Italy

来源：

RICERCHE DI MATEMATICA | 2006年 / 55卷 / 02期

关键词：

normalizer subgroup; metahamiltonian group;

D O I：

10.1007/s11587-006-0018-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A group is called metahamiltonian if all its non-abelian subgroups are normal; it is known that locally soluble metahamiltonian groups have finite commutator subgroup. Here the structure of locally graded groups with finitely many normalizers of (infinite) non-abelian subgroups is investigated, and the above result is extended to this more general situation.

引用

页码：311 / 317

页数：7

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