Derangements and extremal permutation groups
If you have a question about this talk, please contact David Craven.
Let G be a transitive permutation group. If G is finite, then a classical theorem of Jordan implies the existence of derangements, which are fixed-point-free elements. This result has some interesting and unexpected applications, and it leads to several natural problems on the abundance and order of derangements that have been the focus of recent research. In this talk, I will discuss some of these related problems, and I will report on recent joint work with Hung Tong Viet on primitive permutation groups with extremal derangement properties.
This talk is part of the Algebra Seminar series.
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