CLIFFORD-WEIL GROUPS FOR FINITE GROUP RINGS, SOME EXAMPLES.
Annika Günther, Gabriele Nebe · Albanian Journal of Mathematics · 2008
Finite group rings carry a natural involution that defines a form ring structure. We investigate the associated Clifford-Weil groups for the indecomposable representations of the groups of order 2,3 and the symmetric group Sym3 over the fields with 2 and 3 elements as well as suitable symmetrizations. An analogue of Kneser’s neighboring method is introduced, to classify all self-dual codes in a given representation.