Combinatorial Methods for Detecting Surface Subgroups in Right-Angled Artin Groups
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We give a short proof of the following theorem of Sang-hyun Kim: if is a right-angled Artin group with defining graph , then contains a hyperbolic surface subgroup if contains an induced subgraph for some , where denotes the complement graph of an -cycle. Furthermore, we give a new proof of Kim's cocontraction theorem.
2018 ◽
Vol 28
(03)
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pp. 381-394
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2017 ◽
Vol 26
(10)
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pp. 1750059
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2018 ◽
Vol 27
(01)
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pp. 1850010
2011 ◽
Vol 21
(01n02)
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pp. 61-70
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2014 ◽
Vol 24
(06)
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pp. 815-825
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2014 ◽
Vol 24
(02)
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pp. 121-169
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