### Abstract

Original language | English |
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Pages (from-to) | 301-309 |

Number of pages | 9 |

Journal | Archiv der Mathematik |

Volume | 94 |

Issue number | 4 |

DOIs | |

Publication status | Published - 1 Apr 2010 |

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### Cite this

*Archiv der Mathematik*,

*94*(4), 301-309. https://doi.org/10.1007/s00013-010-0116-2

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

Research output: Contribution to journal › Article

*Archiv der Mathematik*, vol. 94, no. 4, pp. 301-309. https://doi.org/10.1007/s00013-010-0116-2

}

TY - JOUR

T1 - A 2-basic set for the alternating group

AU - Brunat, Olivier

AU - Gramain, Jean-Baptiste

PY - 2010/4/1

Y1 - 2010/4/1

N2 - 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)).

AB - 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)).

U2 - 10.1007/s00013-010-0116-2

DO - 10.1007/s00013-010-0116-2

M3 - Article

VL - 94

SP - 301

EP - 309

JO - Archiv der Mathematik

JF - Archiv der Mathematik

SN - 0003-889X

IS - 4

ER -