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Generalizing Bestvina-Brady groups using branched covers

Presented by: 
Ian Leary University of Southampton
Date: 
Thursday 26th January 2017 - 10:00 to 12:00
Venue: 
INI Seminar Room 2
Abstract: 
In the 1990's Bestvina and Brady constructed groups that are FP but not finitely presented as the kernels of maps from right-angled Artin groups to Z.  I generalize this construction using branched coverings.  The main application is an uncountable family of groups of type FP.   A corollary is that every countable group embeds in a group of type FP_2.  I will explain the construction, and if time permits I will discuss the corollary and work with Ignat Soroko and Robert Kropholler on the quasi-isometry classification of the new groups. 



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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons