A basic set for the alternating group

Details A basic set for the alternating group A basic set for the alternating group

2008-10-10

arxiv.org/abs/0810.1840v1

Journal f\"ur die reine und angewandte Mathematik 641 (2010), 177-202

Mathematics

Representation Theory

Scientific paper

This article concerns the $p$-basic set existence problem in the representation theory of finite groups. We show that, for any odd prime $p$, the alternating group $\A_n$ has a $p$-basic set. More precisely, we prove that the symmetric group $\sym_n$ has a $p$-basic set with some additional properties, allowing us to deduce a $p$-basic set for $\A_n$. Our main tool is the generalized perfect isometries introduced by K\"ulshammer, Olsson and Robinson. As a consequence we obtain some results on the decomposition number of $\A_n$.

Affiliated with

Also associated with

No associations

Rating

A basic set for the alternating group 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 A basic set for the alternating group, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A basic set for the alternating group will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-527048