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Algebra Seminar

Monday, October 31, 2005 - 4:00pm

Frauke Bleher

Univ. of Penn and Uniiv. of Iowa

Location

University of Pennsylvania

DRL 4N30

This talk is about which rings can come up as universal deformation rings for representations V of a finite group G over an algebraically closed field k of positive characteristic p when the stable endomorphism ring of V over kG has k-dimension 1. We discuss the case when p = 2 and the Sylow 2-subgroups of G are dihedral, and prove that under some additional assumptions the universal deformation ring of V is isomorphic to a subquotient ring of the group ring WD where W = W(k) is the ring of infinite Witt vectors over k and D is a Sylow 2-subgroup of G.