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

Department of Mathematical Sciences

2 Citations (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)).

Original language	English
Journal	Archiv der Mathematik
Volume	94
Pages (from-to)	301-309
ISSN	0003-889X
Publication status	Published - Apr 2010

Cite this

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title = "A 2-basic set for the alternating group",

abstract = "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 K{\"u}lshammer et al. (Invent. Math. 151, 513-552, (2003)).",

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AU - Brunat, O.

AU - Gramain, Jean-Baptiste Bernard

PY - 2010/4

Y1 - 2010/4

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

ER -

A 2-basic set for the alternating group

Abstract

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