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2008 Co-contractions of graphs and right-angled Artin groups
Sang-hyun Kim
Algebr. Geom. Topol. 8(2): 849-868 (2008). DOI: 10.2140/agt.2008.8.849

Abstract

We define an operation on finite graphs, called co-contraction. Then we show that for any co-contraction Γ̂ of a finite graph Γ, the right-angled Artin group on Γ contains a subgroup which is isomorphic to the right-angled Artin group on Γ̂. As a corollary, we exhibit a family of graphs, without any induced cycle of length at least 5, such that the right-angled Artin groups on those graphs contain hyperbolic surface groups. This gives the negative answer to a question raised by Gordon, Long and Reid.

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Sang-hyun Kim. "Co-contractions of graphs and right-angled Artin groups." Algebr. Geom. Topol. 8 (2) 849 - 868, 2008. https://doi.org/10.2140/agt.2008.8.849

Information

Received: 4 January 2008; Accepted: 23 February 2008; Published: 2008
First available in Project Euclid: 20 December 2017

zbMATH: 1143.20023
MathSciNet: MR2443098
Digital Object Identifier: 10.2140/agt.2008.8.849

Subjects:
Primary: 20F36, 20F65
Secondary: 05C25

Rights: Copyright © 2008 Mathematical Sciences Publishers

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Vol.8 • No. 2 • 2008
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