University of Cambridge > Talks.cam > Geometric Group Theory (GGT) Seminar > The compressed word problem in relatively hyperbolic groups

  Browse A-Z

Log in

Googledetails Microsoftdetails

🔐 Log In

Information on

Subscribing to talksdetails Finding a talkdetails Adding a talkdetails Disseminating talksdetails Help and Documentationdetails

ℹī¸ Information

The compressed word problem in relatively hyperbolic groups

Download to your calendar using vCal

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

I’ll talk about recent work with Derek Holt to prove the following result:

The compressed word problem for a group that is hyperbolic relative to a finite collection of free abelian subgroups is soluble in polynomial time.

This result extends the work of Lohrey and Schleimer proving the same results for free and hyperbolic groups. Our proof follows the same strategy, but has to work harder in order to relate the geometries of two different Cayley graphs, only one of which is locally finite. I’ll give some brief background to the compressed word problem and to to relatively hyperbolic groups, and attempt to give the flavour of the somewhat technical proof.

This talk is part of the Geometric Group Theory (GGT) Seminar series.

This talk is included in these lists:

Note that ex-directory lists are not shown.

Other lists

Few Room, Block 14, Ida Darwin site, Fulbourn Cambridge. Seminar Room, Strangeways Research Laboratory Seminar Room, Centre for Animal Welfare & Anthrozoology, Department of Veterinary Medicine, Madingley Road, Cambridge

Other talks

Title to be confirmed The LMC-SMC System: A New Laboratory for Galaxy Evolution, Dynamics and Dark Matter Talk title TBC Group Work Title to be confirmed Title tbc
 

Š 2006-2025 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity