Bicollapsibility and groups with torsion

2018/10/29 by Gaster, Jonah, Wise, Daniel T.
#20E08 #20F06 #20F67 #FOS: Mathematics #Geometric Topology (math.GT) #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1810.12377

Abstract

We introduce the notion of a bicollapsible 2-complex. This allows us to generalize the hyperbolicity of one-relator groups with torsion to a broader class of groups with presentations whose relators are proper powers. We also prove that many such groups act properly and cocompactly on a CAT(0) cube complex.

Related

• Cubulating one-relator products with torsion
• Non-bi-orderable one-relator groups without generalized torsion
• L²-torsion of automorphisms
• Link conditions for cubulation
• The relative hyperbolicity of one-relator relative presentations