Quasisimple classical groups and their complex group algebras

Details Quasisimple classical groups and their complex group algebras Quasisimple classical groups and their complex group algebras

2011-08-14

arxiv.org/abs/1108.2896v1

Mathematics

Group Theory

21 pages

Scientific paper

Let $H$ be a finite quasisimple classical group, i.e. $H$ is perfect and $S:=H/Z(H)$ is a finite simple classical group. We prove in this paper that, excluding the cases when the simple group $S$ has a very exceptional Schur multiplier such as $\PSL_3(4)$ or $\PSU_4(3)$, $H$ is uniquely determined by the structure of its complex group algebra. The proofs make essential use of the classification of finite simple groups as well as the results on prime power character degrees and relatively small character degrees of quasisimple classical groups.

Affiliated with

Also associated with

No associations

Rating

Quasisimple classical groups and their complex group algebras 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 Quasisimple classical groups and their complex group algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quasisimple classical groups and their complex group algebras will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-712446