Generation problems in Wilson type groups
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 Matteo Vannacci, Royal Holloway
 Friday 07 March 2014, 15:0016:00
 CMS, MR5.
If you have a question about this talk, please contact Julian Brough.
Just infinite groups are a generalisation of finite simple groups in the case of profinite groups and natural examples of just infinite groups have been widely studied in the past. â€‹Wilson type groups were first introduced as an example of hereditarily just infinite groups which are not virtually prop. In the first part of the talk I will give some motivation of the importance of this family and I will show the construction of Wilson type groups via iterated exponentiation of finite nonabelian simple groups. In the second part I will address two generation problems: find explicit generators and determine the lower rank of Wilson type groups.
This talk is part of the Junior Algebra and Number Theory seminar series.
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