
School of Mathematics and Statistics
Alexei Davydov
National University of Singapore
Finite groups with the same character table and Galois algebras
Friday 18th June, 121pm, 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
quasibialgebras or if and only if there is nonassociative biGalois algebra over
these groups. The interpretations of classpreserving automorphisms
and permutation representations with the same character
in terms of Drinfel'd algebras are also given.
