Between free and direct products of groups
Group Theory
2022-01-12 v1
Abstract
We investigate the group obtained by gluing together two groups and at the neutral element. This construction curiously shares some properties with the free product but others with the direct product. Our results address among others Property (T), CAT(0) cubical complexes, local embeddability, amenable actions, and the algebraic structure of .
Keywords
Cite
@article{arxiv.2201.03625,
title = {Between free and direct products of groups},
author = {Maxime Gheysens and Nicolas Monod},
journal= {arXiv preprint arXiv:2201.03625},
year = {2022}
}