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SUMMARY:Francis Wagner (Vanderbilt)
DTSTART:20210126T180000Z
DTEND:20210126T190000Z
DTSTAMP:20260423T004701Z
UID:OSUGGT/22
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OSUGGT/22/">
 Torsion Subgroups of Groups with Quadratic Dehn Function</a>\nby Francis W
 agner (Vanderbilt) as part of Ohio State Topology and Geometric Group Theo
 ry Seminar\n\n\nAbstract\nThe Dehn function of a finitely presented group\
 , first introduced by Gromov\, is a useful invariant that is closely relat
 ed to the solvability of the group’s word problem. It is well-known that
  a finitely presented group is word hyperbolic if and only if it has sub-q
 uadratic (and thus linear) Dehn function. A result of Ghys and de la Harpe
  states that no word hyperbolic group can have a (finitely generated) infi
 nite torsion subgroup. We show that this property does not carry over to a
 ny class of groups of larger Dehn function. In particular\, for every m>1 
 and n sufficiently large (and either odd or divisible by 2^9)\, there exis
 ts a quasi-isometric embedding of the infinite free Burnside group B(m\,n)
  into a finitely presented group with quadratic Dehn function.\n
LOCATION:https://researchseminars.org/talk/OSUGGT/22/
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