A 2-basic set for the alternating group

O. Brunat; Jean-Baptiste Bernard Gramain

A 2-basic set for the alternating group

O. Brunat, Jean-Baptiste Bernard Gramain

Institut for Matematiske Fag

2 Citationer (Scopus)

Abstract

In this note, we construct a 2-basic set of the alternating group U_n. To do this, we construct a 2-basic set of the symmetric group G with an additional property, such that its restriction to U_n 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)).

Originalsprog	Engelsk
Tidsskrift	Archiv der Mathematik
Vol/bind	94
Sider (fra-til)	301-309
ISSN	0003-889X
Status	Udgivet - apr. 2010

Citationsformater

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AU - Brunat, O.

AU - Gramain, Jean-Baptiste Bernard

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N2 - In this note, we construct a 2-basic set of the alternating group Un. To do this, we construct a 2-basic set of the symmetric group G with an additional property, such that its restriction to Un 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)).

AB - In this note, we construct a 2-basic set of the alternating group Un. To do this, we construct a 2-basic set of the symmetric group G with an additional property, such that its restriction to Un 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)).

M3 - Journal article

SN - 0003-889X

VL - 94

SP - 301

EP - 309

JO - Archiv der Mathematik

JF - Archiv der Mathematik

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A 2-basic set for the alternating group

Abstract

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