Work

Cyclic quasinormal subgroups of arbitrary groups

Year: 2026

Type: article

Abstract: In recent years several papers have appeared showing how cyclic quasinormal subgroups are embedded in finite groups and many structure theorems have been proved. The purpose of the present work is twofold. First we show that, without exception, all of these theorems remain valid for finite cyclic quasinormal subgroups of infinite groups. Secondly we obtain analogous results for infinite cyclic quasinormal subgroups, where the statements turn out to be even stronger.

Source: French digital mathematics library (Numdam)

DOI: 10.82444/warw.33590827

Authors: Stewart E. Stonehewer, Giovanni Zacher

Language: English

Topic: Finite Group Theory Research

Subfield: Discrete Mathematics and Combinatorics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W1607090497

FWCI:

Cites:

Cited by: 6

Related to: 10