$L_9$-free groups
Imke Toborg, Rebecca Waldecker, Clemens B. Tietze
TL;DR
This paper classifies all finite groups that do not contain a subgroup isomorphic to the $L_9$ group, providing a complete characterization of $L_9$-free finite groups.
Contribution
It offers a complete classification of $L_9$-free finite groups, a specific class of groups previously not fully understood.
Findings
Complete classification of $L_9$-free finite groups
Identification of structural properties of $L_9$-free groups
Foundation for further research on subgroup exclusion in finite groups
Abstract
In this article we classify all -free finite groups.
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Taxonomy
TopicsGeometric and Algebraic Topology · Advanced Topology and Set Theory · Finite Group Theory Research