BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//talks.cam.ac.uk//v3//EN
BEGIN:VTIMEZONE
TZID:Europe/London
BEGIN:DAYLIGHT
TZOFFSETFROM:+0000
TZOFFSETTO:+0100
TZNAME:BST
DTSTART:19700329T010000
RRULE:FREQ=YEARLY;BYMONTH=3;BYDAY=-1SU
END:DAYLIGHT
BEGIN:STANDARD
TZOFFSETFROM:+0100
TZOFFSETTO:+0000
TZNAME:GMT
DTSTART:19701025T020000
RRULE:FREQ=YEARLY;BYMONTH=10;BYDAY=-1SU
END:STANDARD
END:VTIMEZONE
BEGIN:VEVENT
CATEGORIES:Junior Algebra and Number Theory seminar
SUMMARY:Coset diagrams and their application to finitely p
 resented groups - Julian Brough\, University of Ca
 mbridge
DTSTART;TZID=Europe/London:20130215T140000
DTEND;TZID=Europe/London:20130215T150000
UID:TALK43365AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/43365
DESCRIPTION:Graphs were first used explicitly in group theory 
 by A.Cayley in 1878\, where the vertices were take
 n to be the elements from a group. These diagrams 
 have provided a useful tool for proving results ab
 out free groups\, and in particular the result tha
 t any subgroup of a free group is free. The notion
  of a Cayley diagram was extended by O.Schreier\, 
 where vertices are now taken to be cosets for a su
 bgroup. The aim of the talk is to highlight how us
 eful these diagrams can be in the study of finitel
 y presented groups by giving two applications:\n1)
  Providing a "nice" presentation for PSL&#40\;2\,Z
 &#41\;. \n2) Proving that some infinite families o
 f finitely presented groups give infinite groups.
LOCATION:MR4
CONTACT:Joanna Fawcett
END:VEVENT
END:VCALENDAR