A 2-basic set for the alternating group

Olivier Brunat, Jean-Baptiste Gramain

Research output: Contribution to journalArticle

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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 languageEnglish
Pages (from-to)301-309
Number of pages9
JournalArchiv der Mathematik
Volume94
Issue number4
DOIs
Publication statusPublished - 1 Apr 2010

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Alternating group
Symmetric group
Isometry
Odd
Restriction

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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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