University of Cambridge > Talks.cam > Junior Algebra/Logic/Number Theory seminar > Discrete and free 2-generated subgroups of SL(2,R)

Discrete and free 2-generated subgroups of SL(2,R)

Add to your list(s) Download to your calendar using vCal

  • UserMatthew Conder, University of Cambridge
  • ClockFriday 02 March 2018, 15:00-16:00
  • HouseCMS, MR14.

If you have a question about this talk, please contact Nicolas Dupré.

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-generated subgroup of SL(2,R), can one determine if this subgroup is free (of 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 this talk I will discuss the details of this algorithm and outline some possibilities for future work in this area.

This talk is part of the Junior Algebra/Logic/Number Theory seminar series.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.

 

© 2006-2019 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity