A 2-basic set of the alternating group
Abstract
In this note, we construct a 2-basic set of the alternating group n. To do this, we construct a 2-basic set of the symmetric group n with an additional property, such that its restriction to n is a 2-basic set. We adapt here a method developed in 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 KOR.
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