Systolic geometry and simplicial complexity for groups
Babenko, Ivan (Université Montpellier II. Institut Montpelliérain Alexander Grothendieck)
Balacheff, Florent Nicolas (Université de Lille. Laboratoire Paul Painlevé)
Bulteau, Guillaume (Université Montpellier II. Institut Montpelliérain Alexander Grothendieck)

Date:	2019
Abstract:	Twenty years ago Gromov asked about how large is the set of isomorphism classes of groups whose systolic area is bounded from above. This article introduces a new combinatorial invariant for finitely presentable groups called simplicial complexity that allows to obtain a quite satisfactory answer to his question. Using this new complexity, we also derive new results on systolic area for groups that specify its topological behaviour.
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Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Published in:	Journal fur die Reine und Angewandte Mathematik, Vol. 2019, Issue 757 (2019) , p. 247-277, ISSN 1435-5345

DOI: 10.1515/crelle-2017-0041

Postprint 36 p, 942.1 KB

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