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arXiv:2307.08459 [math.GR]AbstractReferencesReviewsResources

Loose ear decompositions and their applications to right-angled Artin groups

Max Gheorghiu

Published 2023-07-17Version 1

We characterise graph subdivisions, planar graphs and graph minors among others in terms of right-angled Artin groups (RAAGs). For this, we determine all sets of elements in RAAGs with ears as underlying graphs that are exactly the sets of vertex generators. Generalising ear decompositions of graphs to loose ear decompositions, we characterise both decompositions in terms of RAAGs. The desired results follow as applications of loose ear decompositions of RAAGs.

Comments: 17 pages
Categories: math.GR
Subjects: 20F36, 20F65, 05C25, 05C10, 05C38, 05C83
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