Universal deformation rings and dihedral defect groups

Details Universal deformation rings and dihedral defect groups Universal deformation rings and dihedral defect groups

2006-07-22

arxiv.org/abs/math/0607571v2

Trans. Amer. Math. Soc. 361 (2009), 3661-3705.

Mathematics

Representation Theory

37 pages, 13 figures. Changed introduction, updated references

Scientific paper

10.1090/S0002-9947-09-04543-7

Let k be an algebraically closed field of characteristic 2, and let W be the ring of infinite Witt vectors over k. Suppose G is a finite group, and B is a block of kG with dihedral defect group D which is Morita equivalent to the principal 2-modular block of a finite simple group. We determine the universal deformation ring R(G,V) for every kG-module V which belongs to B and has stable endomorphism ring k. It follows that R(G,V) is always isomorphic to a subquotient ring of WD. Moreover, we obtain an infinite series of examples of universal deformation rings which are not complete intersections.

Affiliated with

Also associated with

No associations

Rating

Universal deformation rings and dihedral defect groups does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Universal deformation rings and dihedral defect groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Universal deformation rings and dihedral defect groups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-301473