Systolic geometry and simplicial complexity for groups

Ivan Babenko, Florent Balacheff, Guillaume Bulteau

Producció científica: Contribució a una revistaArticleRecercaAvaluat per experts

2 Cites (Scopus)
1 Descàrregues (Pure)

Resum

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.

Idioma originalEnglish
Pàgines (de-a)247-277
Nombre de pàgines31
RevistaJournal fur die Reine und Angewandte Mathematik
Volum2019
Número757
DOIs
Estat de la publicacióPublicada - 2019

Fingerprint

Navegar pels temes de recerca de 'Systolic geometry and simplicial complexity for groups'. Junts formen un fingerprint únic.

Com citar-ho