Corpus ID: 216080630

# Semistability of Graph Products

@article{Mihalik2020SemistabilityOG,
title={Semistability of Graph Products},
author={M. Mihalik},
journal={arXiv: Group Theory},
year={2020}
}
• M. Mihalik
• Published 2020
• Mathematics
• arXiv: Group Theory
A {\it graph product} $G$ on a graph $\Gamma$ is a group defined as follows: For each vertex $v$ of $\Gamma$ there is a corresponding non-trivial group $G_v$. The group $G$ is the quotient of the free product of the $G_v$ by the commutation relations $[G_v,G_w]=1$ for all adjacent $v$ and $w$ in $\Gamma$. A finitely presented group $G$ has {\it semistable fundamental group at $\infty$} if for some (equivalently any) finite connected CW-complex $X$ with $\pi_1(X)=G$, the universal cover \$\tilde… Expand