A 2-basic set of the alternating group

Details A 2-basic set of the alternating group A 2-basic set of the alternating group

2009-02-23

arxiv.org/abs/0902.3845v2

Archiv der Mathematik 94 (2010), 301-309

Mathematics

Representation Theory

Scientific paper

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}.

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