Fat minors in finitely presented groups
Abstract
We show that a finitely presented group virtually admits a planar Cayley graph if and only if it is asymptotically minor-excluded, partially answering a conjecture of Georgakopoulos and Papasoglu in the affirmative.
- Publication:
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arXiv e-prints
- Pub Date:
- August 2024
- DOI:
- 10.48550/arXiv.2408.10748
- arXiv:
- arXiv:2408.10748
- Bibcode:
- 2024arXiv240810748M
- Keywords:
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- Mathematics - Group Theory;
- Mathematics - Combinatorics;
- Mathematics - Metric Geometry;
- 20F65 (Primary) 05C10 (Secondary)
- E-Print:
- 17 pages, 7 figures