University of Sydney
School of Mathematics and Statistics
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.