Generalized echelon subgroups

2022/10/16 by Brahim Abdenbi, Abdenbi, Brahim
Mathematics · #Geometric and Algebraic Topology #Finite Group Theory Research #Algebraic Geometry and Number Theory

paper · pdf · doi:10.48550/arxiv.2210.08651

Abstract

We study inert and compressed subgroups of free groups and provide a generalization of echelon subgroups.

Related

• On the intersection of subgroups in free groups: echelon subgroups are inert
• An algorithm to recognize echelon subgroups of a free group
• Free groups are L²-subgroup rigid
• Stallings foldings and the subgroup structure of free groups
• Degrees of compression and inertia for free-abelian times free groups