University of Cambridge > Talks.cam > Junior Algebra/Logic/Number Theory seminar > Classifying Finite Primitive Permutation Group

Classifying Finite Primitive Permutation Group

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  • UserJoanna Fawcett
  • ClockFriday 04 June 2010, 11:00-12:00
  • HouseMR12.

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The O’Nan-Scott Theorem classifies finite primitive permutation groups into one of five isomorphism classes. This theorem is very useful for answering questions about finite permutation groups since four out of the five isomorphism classes are well understood. The proof of this theorem currently relies upon the classification of the finite simple groups, as it requires a consequence of this classification, the Schreier Conjecture. I will define the five isomorphism classes and prove, with as much detail as time permits, the O’Nan-Scott Theorem.

This talk is part of the Junior Algebra/Logic/Number Theory seminar series.

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