BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:Coset diagrams and their application to finitely presented groups 
 - Julian Brough\, University of Cambridge
DTSTART:20130215T140000Z
DTEND:20130215T150000Z
UID:TALK43365@talks.cam.ac.uk
CONTACT:Joanna Fawcett
DESCRIPTION:Graphs were first used explicitly in group theory by A.Cayley 
 in 1878\, where the vertices were taken to be the elements from a group. T
 hese diagrams have provided a useful tool for proving results about free g
 roups\, and in particular the result that any subgroup of a free group is 
 free. The notion of a Cayley diagram was extended by O.Schreier\, where ve
 rtices are now taken to be cosets for a subgroup. The aim of the talk is t
 o highlight how useful these diagrams can be in the study of finitely pres
 ented groups by giving two applications:\n1) Providing a "nice" presentati
 on for PSL&#40\;2\,Z&#41\;. \n2) Proving that some infinite families of fi
 nitely presented groups give infinite groups.
LOCATION:MR4
END:VEVENT
END:VCALENDAR