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SUMMARY:On branch groups - Anitha Thillaisundaram (Lincoln)
DTSTART:20161026T153000Z
DTEND:20161026T163000Z
UID:TALK68103@talks.cam.ac.uk
CONTACT:Christopher Brookes
DESCRIPTION:In 1902\, William Burnside posed the following question: Do th
 ere exist infinite finitely generated torsion groups? This question was an
 swered in the affirmative in the 60s. Some of the early examples of such i
 nfinite finitely generated p-groups were groups acting on trees\, the so-c
 alled branch groups. This important class of groups also provided the firs
 t example of a finitely generated group of intermediate word growth.We wil
 l consider a certain family of branch groups\, which generalise the early 
 examples\, and we show that their maximal subgroups cannot have infinite i
 ndex in the group. We link this result to a conjecture of Passman on group
  rings. This is joint work with Benjamin Klopsch and\nTheofanis Alexoudas.
LOCATION:MR12
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