On locally finite skew group algebras
Bui Xuan Hai, Cao Minh Nam, Mai Hoang Bien
TL;DR
This paper investigates the conditions under which skew group algebras of locally finite groups contain non-cyclic free subgroups, contributing to the understanding of their algebraic structure.
Contribution
It provides new insights into the existence of non-cyclic free subgroups within skew group algebras of locally finite groups.
Findings
Identifies conditions for non-cyclic free subgroups to exist
Establishes connections between group properties and algebraic structures
Advances theoretical understanding of skew group algebras
Abstract
In this note, we study the problem on the existence of non-cyclic free subgroups of the skew group algebra of a locally finite group over a field.
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Taxonomy
TopicsRings, Modules, and Algebras · Algebraic structures and combinatorial models · Finite Group Theory Research