Korean J. Math. Vol. 29 No. 3 (2021) pp.577-580
DOI: https://doi.org/10.11568/kjm.2021.29.3.577

Right-angled Artin groups on path graphs, cycle graphs and complete bipartite graphs

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Published: Sep 8, 2021
Keywords:
Right-angled Artin groups, Embeddability, Extension graphs
Mathematics Subject Classification:
20F65, 20F36

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Eon-Kyung Lee
Department of Mathematics, Sejong University, Seoul 05006, Korea.
Sang-Jin Lee
Department of Mathematics, Konkuk University, Seoul 05029, Korea

Abstract

For a finite simplicial graph $\Gamma$, let $G(\Gamma)$ denote the right-angled Artin group on the complement graph of $\Gamma$. For path graphs $P_k$, cycle graphs $C_\ell$ and complete bipartite graphs $K_{n, m}$, this article characterizes the embeddability of $G(K_{n, m})$ in $G(P_k)$ and in $G(C_\ell)$



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Supporting Agencies

National Research Foundation of Korea

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