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Base sizes of permutation groups

Presented by: 
Joanna Fawcett
Monday 27th January 2020 - 14:45 to 15:35
INI Seminar Room 1
A base of a permutation group G acting on a set X is a subset of X whose pointwise stabiliser in G is trivial. The base size of G is the minimal cardinality of a base for G. Bases have proved to be very useful, both theoretically (in bounding the order of a primitive permutation group in terms of its degree) and computationally (in many algorithms for permutation groups). Recently, much progress has been made on understanding the base sizes of primitive permutation groups. This talk will survey some of these results.
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons