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Página principal > Artículos > Artículos publicados > Systolic geometry and simplicial complexity for groups |
Fecha: | 2019 |
Resumen: | 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. |
Derechos: | Tots els drets reservats. |
Lengua: | Anglès |
Documento: | Article ; recerca ; Versió acceptada per publicar |
Publicado en: | Journal fur die Reine und Angewandte Mathematik, Vol. 2019, Issue 757 (2019) , p. 247-277, ISSN 1435-5345 |
Postprint 36 p, 942.1 KB |