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SUMMARY:Discrete and free 2-generated subgroups of SL(2\,R) - Matthew Cond
 er\, University of Cambridge
DTSTART:20180302T150000Z
DTEND:20180302T160000Z
UID:TALK100513@talks.cam.ac.uk
CONTACT:Nicolas Dupré
DESCRIPTION:The Tits alternative states that any finitely generated linear
  group either contains a soluble finite index subgroup or contains a free 
 subgroup of rank 2. This helps to motivate the following: given any 2-gene
 rated subgroup of SL(2\,R)\, can one determine if this subgroup is free (o
 f rank 2)? This remains an open question\, however a 2014 paper of Eick\, 
 Kirschmer and Leedham-Green presents an algorithm (which follows from the 
 work of others) to check whether such a group is discrete and free. In thi
 s talk I will discuss the details of this algorithm and outline some possi
 bilities for future work in this area.\n
LOCATION:CMS\, MR14
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