University of Sydney

    School of Mathematics and Statistics

    Algebra Seminar

    Alexei Davydov
    National University of Singapore

    Finite groups with the same character table and Galois algebras

    Friday 18th June, 12-1pm, Carslaw 375.

    It is proven that finite groups have the same complex character tables if and only if the group algebras are twisted forms of each other as Drinfel'd quasi-bialgebras or if and only if there is non-associative bi-Galois algebra over these groups. The interpretations of class-preserving automorphisms and permutation representations with the same character in terms of Drinfel'd algebras are also given.