Infinite groups with many complemented subgroups

被引：7

作者：

Ferrara, M. ^{[1
]}

Trombetti, M. ^{[2
]}

机构：

[1] Univ Campania Luigi Vanvitelli, Dipartimento Matemat & Fis, Viale Lincoln 5, Caserta, Italy

[2] Univ Napoli Federico II, Dipartimento Matemat & Applicaz Renato Caccioppol, Complesso Univ Monte S Angelo,Via Cintia, Naples, Italy

来源：

BEITRAGE ZUR ALGEBRA UND GEOMETRIE-CONTRIBUTIONS TO ALGEBRA AND GEOMETRY | 2022年 / 63卷 / 04期

关键词：

Subgroup lattice; Complemented subgroup; K-group; C-group; AUTOMORPHISMS;

D O I：

10.1007/s13366-021-00597-w

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper has two souls. On one side, it is a survey on (infinite) groups in which certain systems of subgroups are complemented (like for instance the abelian subgroups). On another side, it provides generalizations and new, easier proofs of some (un)known results in this area.

引用

页码：775 / 808

页数：34

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