Universal deformation rings and generalized quaternion defect groups

作者：Bleher Frauke M^*

来源：Advances in Mathematics, 2010, 225(3): 1499-1522.

DOI：10.1016/j.aim.2010.04.004

• Universal deformation rings
• Quaternion defect groups
• Dihedral defect groups

We determine the universal deformation rings R(G, V) of certain mod 2 representations V of a finite group G which belong to a 2-modular block of G whose defect groups 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.

• 出版日期2010-10-20