Finitely presented subgroups of systolic groups are systolic

TL;DR

This paper proves that any finitely presented subgroup of a systolic group inherits the systolic property, establishing a significant structural stability result within geometric group theory.

Contribution

It demonstrates that finitely presented subgroups of systolic groups are themselves systolic, a previously unknown inheritance property.

Findings

Finitely presented subgroups of systolic groups are systolic

Structural stability of systolic property under subgroup formation

Advances understanding of subgroup structure in systolic groups

Abstract

In this note we prove that every finitely presented subgroup of a systolic group is itself systolic.