# Semistability of Graph Products

@article{Mihalik2020SemistabilityOG, title={Semistability of Graph Products}, author={M. Mihalik}, journal={arXiv: Group Theory}, year={2020} }

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

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