A 2-basic set of the alternating group
Representation Theory
2010-10-18 v2 Group Theory
Abstract
In this note, we construct a 2-basic set of the alternating group \A_n. To do this, we construct a 2-basic set of the symmetric group \sym_n with an additional property, such that its restriction to \A_n is a 2-basic set. We adapt here a method developed in \cite{BrGr} for the case when the characteristic is odd. One of the main tools is the generalized perfect isometries defined by K\"ulshammer, Olsson and Robinson in \cite{KOR}.
Cite
@article{arxiv.0902.3845,
title = {A 2-basic set of the alternating group},
author = {Olivier Brunat and Jean-Baptiste Gramain},
journal= {arXiv preprint arXiv:0902.3845},
year = {2010}
}