Systolic geometry and simplicial complexity for groups

Ivan Babenko, Florent Balacheff, Guillaume Bulteau

Research output: Contribution to journalArticleResearchpeer-review

2 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)247-277
Number of pages31
JournalJournal fur die Reine und Angewandte Mathematik
Volume2019
Issue number757
DOIs
Publication statusPublished - 2021

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