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SUMMARY:Generalized torsion elements and bi-orderability of 3-manifold gro
 ups - Masakazu Teragaito (Hiroshima University)
DTSTART:20170131T113000Z
DTEND:20170131T123000Z
UID:TALK70480@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:<span>         Co-author: Kimihiko Motegi 		(Nihon University)
         <br></span><span>&nbsp\;<br>It is known that a bi-orderable group 
 has no generalized torsion  element\,   but the converse does not hold in 
 general.  We conjecture that the converse holds for the fundamental groups
  of  3-manifolds\,  and verify the conjecture for non-hyperbolic\, geometr
 ic 3-manifolds.    We also confirm the conjecture for some infinite famili
 es of closed  hyperbolic 3-manifolds.   In the course of the proof\, we pr
 ove that each standard generator of the  Fibonacci group F(2\, m) (m > 2) 
 is a generalized torsion element. &nbsp\;&nbsp\;</span>
LOCATION:Seminar Room 1\, Newton Institute
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