Blocks with defect group D_{2^n} * C_{2^m}

Details Blocks with defect group D_{2^n} * C_{2^m} Blocks with defect group D_{2^n} * C_{2^m}

2011-05-25

arxiv.org/abs/1105.4977v1

Mathematics

Representation Theory

10 pages

Scientific paper

We determine the numerical invariants of blocks with defect group D_{2^n} * C_{2^m} = Q_{2^n} * C_{2^m} (central product), where n > 2 and m > 1. As a consequence, we prove Brauer's k(B)-conjecture, Olsson's conjecture (and more generally Eaton's conjecture), Brauer's height zero conjecture, the Alperin-McKay conjecture, Alperin's weight conjecture and Robinson's ordinary weight conjecture for these blocks. Moreover, we show that the gluing problem has a unique solution in this case.

Affiliated with

Also associated with

No associations

Rating

Blocks with defect group D_{2^n} * C_{2^m} 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 Blocks with defect group D_{2^n} * C_{2^m}, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Blocks with defect group D_{2^n} * C_{2^m} will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-191185