Abelian subgroups of Helly groups
Motiejus Valiunas
TL;DR
This paper proves that abelian subgroups within Helly groups are finitely generated and that soluble subgroups are virtually abelian, revealing structural properties of these groups.
Contribution
It establishes new finiteness and structural properties of abelian and soluble subgroups in Helly groups.
Findings
Abelian subgroups of Helly groups are finitely generated.
Soluble subgroups of Helly groups are virtually abelian.
Abstract
We observe that abelian subgroups of Helly groups are finitely generated, and consequently, soluble subgroups of Helly groups are virtually abelian.
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Taxonomy
TopicsFinite Group Theory Research · Rings, Modules, and Algebras