Universal deformation rings and generalized quaternion defect groups.

Authors: Frauke M. Bleher
Subjects: Group Theory
link: http://arxiv.org/abs/0909.1031
Abstract

We determine the universal deformation ring R(G,V) of certain mod 2
representations V of a finite group G whose Sylow 2-subgroups are isomorphic to
a generalized quaternion group D. We show that for these V, a question raised
by the author and Chinburg concerning the relation of R(G,V) to D has an
affirmative answer. We also show that R(G,V) is a complete intersection even
though R(G/N,V) need not be for certain normal subgroups N of G which act
trivially on V.