Name: Finitely presented subgroups of systolic groups are systolic
Creator: Zadnik, Gašper
Keywords: Group actions on combinatorial structures, systolic group, simplicial non-positive curvature, 05E18, FOS: Mathematics, Group Theory (math.GR), 0101 mathematics, 10. No inequality, Mathematics - Group Theory, 7. Clean energy

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2014Embargo end date: 01 Jan 2013 English Publisher:Institute of Mathematics, Polish Academy of SciencesJournal:Fundamenta Mathematicae, volume 227, pages 187-196 (issn: 0016-2736, eissn: 1730-6329,

Authors: Zadnik, Gašper;

doi: 10.4064/fm227-2-5 , 10.48550/arxiv.1307.3839

arXiv: 1307.3839

Finitely presented subgroups of systolic groups are systolic

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Abstract

In this note we prove that every finitely presented subgroup of a systolic group is itself systolic.

5 pages, 1 figure

Keywords

Group actions on combinatorial structures, systolic group, simplicial non-positive curvature, 05E18, FOS: Mathematics, Group Theory (math.GR), Mathematics - Group Theory, systolic complex

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