Work

On infinitely supported groups

Year: 2025

Type: article

Abstract: In the present article we define infinitely supported groups and investigate main properties of such groups, especially in abelian case. We give some examples in non-abelian case. We see that some celebrated constructions of groups are infinitely supported such as Čarin’s groups with min -n, Ol’shanskiǐ’s and Obraztsov’s constructions, Heineken-Mohamed type groups and non-perfect minimal non- FC -groups.

Source: Ricerche di Matematica

DOI: 10.1007/s11587-025-00969-7

Authors: Rümeysa S. Altınkaya, Ahmet Arikan, Aynur Arikan

Institution: Gazi University

Language: English

Topic: Finite Group Theory Research

Subfield: Discrete Mathematics and Combinatorics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190

Funder: Gazi Üniversitesi