Virtually special non-finitely presented groups via linear characters

2020/01/31 by Vladimir Vankov, Vankov, Vladimir
Computer Science · Mathematics · #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals #math.GR #msc:20F36 #msc:20F65 #msc:57M20 #semigroups and automata theory

paper · pdf · doi:10.48550/arxiv.2001.11868

19 pages, 10 figures

arxiv created 2020/01/31 · arxiv updated 2020/02/03

Abstract

We present a new method for showing that groups are virtually special. This is done by considering finite quotients and linear characters. We use this to show that an infinite family of groups, related to Bestvina-Brady groups and branching, provides new examples of virtually special groups outside of a hyperbolic context.

Related

• Infinite simple characteristic quotients
• Infinitely presented simple groups separated by homological finiteness properties
• On Semi-Rational Groups
• Algebraic characterisation of relatively hyperbolic special groups
• Principal blocks, irreducible restriction, fields and degrees