Home > Articles > Published articles > Systolic geometry and simplicial complexity for groups |
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. |
Rights: | Tots els drets reservats. |
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 |
Postprint 36 p, 942.1 KB |