University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Small cancellation theory over Burnside groups

Small cancellation theory over Burnside groups

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

If you have a question about this talk, please contact INI IT.

NPCW01 - Non-positive curvature in action

Co-author: Rémi Coulon (Université de Rennes 1)
 
I will discuss how combinatorics and geometry work together to provide a new and easy-to-apply tool for constructing infinite bounded torsion groups with prescribed properties. 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 numerous decision problems in categories of bounded torsion groups, and we obtain a Rips construction for bounded torsion groups. This is joint work with Rémi Coulon.

Related Links

This talk is part of the Isaac Newton Institute Seminar Series series.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.

 

© 2006-2024 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity