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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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참고문헌 (12)
참고문헌 신청
M. Casals-Ruiz / 2013 / Embeddings between partially commutative groups : two counterexamples / J. Algebra 390:87~99
R. Charney / 2009 / Finiteness properties of automorphism groups of rightangled Artin groups / Bull. Lond. Math. Soc 41:94~102
J. Crisp / 2008 / Surface subgroups of right-angled Artin groups / Internat. J. Algebra Comput 18:443~491
C. Droms / 1987 / Isomorphisms of graph groups / Proc. Amer. Math. Soc 100:407~408
T. Katayama / 2017 / Right-angled Artin groups and full subgraphs of graphs / J. Knot Theory Rami_-cations 26:1750059
R. Charney / 2009 / Finiteness properties of automorphism groups of rightangled Artin groups / Bull. Lond. Math. Soc 41:94~102
J. Crisp / 2008 / Surface subgroups of right-angled Artin groups / Internat. J. Algebra Comput 18:443~491
C. Droms / 1987 / Isomorphisms of graph groups / Proc. Amer. Math. Soc 100:407~408
T. Katayama / 2017 / Right-angled Artin groups and full subgraphs of graphs / J. Knot Theory Rami_-cations 26:1750059
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