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SUMMARY:Small cancellation theory over Burnside groups - Dominik Gruber (E
 TH Zürich)
DTSTART:20170113T113000Z
DTEND:20170113T123000Z
UID:TALK69901@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:<span>         Co-author: R&eacute\;mi Coulon 		(Universit&eac
 ute\; de Rennes 1)        <br></span>&nbsp\;<br>I will discuss how combina
 torics and geometry work together to provide a  new and easy-to-apply tool
  for constructing infinite bounded torsion  groups with prescribed propert
 ies. The main tools are acylindrical  actions of (classical or graphical) 
 small cancellation groups on  hyperbolic spaces and the theory of periodic
  quotients of groups  admitting such actions. As applications\, we obtain 
 Gromov monsters with  bounded torsion\, we show the unsolvability of numer
 ous decision problems  in categories of bounded torsion groups\, and we ob
 tain a Rips  construction for bounded torsion groups. This is joint work w
 ith R&eacute\;mi  Coulon.<br>         <br>Related Links        <ul>       
   <li><a target="_blank" rel="nofollow" href="http://www-old.newton.ac.uk/
 cgi/http%3A%2F%2Fhomepage.univie.ac.at%2Fdominik.gruber%2F">http://homepag
 e.univie.ac.at/dominik.gruber/</a> - Speaker&#39\;s website</li></ul>
LOCATION:Seminar Room 1\, Newton Institute
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