Generation problems in Wilson type groups

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• Matteo Vannacci, Royal Holloway
• Friday 07 March 2014, 15:00-16:00
• 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. ​Wilson type groups were first introduced as an example of hereditarily just infinite groups which are not virtually pro-p. 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 non-abelian 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/Logic/Number Theory seminar series.

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