On Wednesday the 18th of April 2018, Martyn Quick (St Andrews) visited Lincoln and gave a talk “*Presentations for Thompson’s infinite simple group V and some of its generalisations*“.

*Abstract: *Thompson’s group *V* is probably one of the best known examples of a finitely presented infinite simple group. The presentation originally given by Thompson in his notes has remained the best in terms of fewest generators and relations until very recently. I will present recent work with Collin Bleak that gives new presentations for *V* including one involving fewer relations than Thompson’s presentation. There are a number of other infinite simple groups that arise as generalisations of Thompson’s group *V*. One set of examples are the groups *nV* (for positive integers *n*) introduced by Brin and that act upon n-dimensional Cantor space. I will present ongoing work that produces presentations for the groups *nV* and that draws attention to the interaction between the baker’s maps on *n*-dimensional Cantor space and transpositions of basic open sets.

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