CO-CONTRACTIONS OF GRAPHS AND RIGHT-ANGLED COXETER GROUPS

Title & Authors
CO-CONTRACTIONS OF GRAPHS AND RIGHT-ANGLED COXETER GROUPS
Kim, Jong-Tae; Moon, Myoung-Ho;

Abstract
We prove that if $\small{\widehat{\Gamma}}$ is a co-contraction of $\small{{\Gamma}}$, then the right-angled Coxeter group $\small{C(\widehat{\Gamma})}$ embeds into $\small{C({\Gamma})}$. Further, we provide a graph $\small{{\Gamma}}$ without an induced long cycle while $\small{C({\Gamma})}$ does not contain a hyperbolic surface group.
Keywords
right-angled Artin group;right-angled Coxeter group;hyperbolic surface subgroup;
Language
English
Cited by
1.
SURFACE SUBGROUPS OF GRAPH PRODUCTS OF GROUPS, International Journal of Algebra and Computation, 2012, 22, 08, 1240003
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