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On branch groups

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  • UserAnitha Thillaisundaram (Lincoln)
  • ClockWednesday 26 October 2016, 16:30-17:30
  • HouseMR12.

If you have a question about this talk, please contact Christopher Brookes.

In 1902, William Burnside posed the following question: Do there exist infinite finitely generated torsion groups? This question was answered in the affirmative in the 60s. Some of the early examples of such infinite finitely generated p-groups were groups acting on trees, the so-called branch groups. This important class of groups also provided the first example of a finitely generated group of intermediate word growth.We will consider a certain family of branch groups, which generalise the early examples, and we show that their maximal subgroups cannot have infinite index in the group. We link this result to a conjecture of Passman on group rings. This is joint work with Benjamin Klopsch and Theofanis Alexoudas.

This talk is part of the Algebra and Representation Theory Seminar series.

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