Subgroups of almost finitely presented groups

TL;DR

This paper demonstrates that any countable group can be embedded into a group of type FP_2, expanding understanding of subgroup structures within finitely presented groups.

Contribution

It proves that all countable groups can be embedded into groups of type FP_2, providing new insights into subgroup embeddings in finitely presented groups.

Findings

Every countable group embeds in an FP_2 group

Advances the understanding of subgroup structures in finitely presented groups

Shows the universality of FP_2 groups for countable groups

Abstract

We show that every countable group embeds in a group of type $FP_2$.