# A 2-basic set for the alternating group

Olivier Brunat, Jean-Baptiste Gramain

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### Abstract

In this note, we construct a 2-basic set of the alternating group An. To do this, we construct a 2-basic set of the symmetric group Sn with an additional property, such that its restriction to An is a 2-basic set. We adapt here a method developed by Brunat and Gramain (J. Reine Angew. Math., to appear) for the case when the characteristic is odd. One of the main tools is the generalized perfect isometries defined by Külshammer et al. (Invent. Math. 151, 513–552, (2003)).
Original language English 301-309 9 Archiv der Mathematik 94 4 https://doi.org/10.1007/s00013-010-0116-2 Published - 1 Apr 2010

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Alternating group
Symmetric group
Isometry
Odd
Restriction

### Cite this

A 2-basic set for the alternating group. / Brunat, Olivier; Gramain, Jean-Baptiste.

In: Archiv der Mathematik, Vol. 94, No. 4, 01.04.2010, p. 301-309.

Research output: Contribution to journalArticle

Brunat, Olivier ; Gramain, Jean-Baptiste. / A 2-basic set for the alternating group. In: Archiv der Mathematik. 2010 ; Vol. 94, No. 4. pp. 301-309.
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