Finite index subgroups without unique product in graphical small cancellation groups

Dominik Gruber, Alexandre Martin, Markus Steenbock

Research output: Contribution to journalArticle

3 Citations (Scopus)
14 Downloads (Pure)

Abstract

For every integer k⩾1, we construct a torsion-free hyperbolic group without unique product all of whose subgroups up to index k are themselves non-unique product groups. This is achieved by generalizing a construction of Comerford to graphical small cancellation presentations, showing that for every subgroup H of a graphical small cancellation group there exists a free group F such that H*F admits a graphical small cancellation presentation.
Original languageEnglish
Pages (from-to)631–638
Number of pages8
JournalBulletin of the London Mathematical Society
Volume47
Issue number4
DOIs
Publication statusPublished - Aug 2015

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