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Relevés d'Isotypies de Sp(4, Fq) Pour q Impair#.

Authors :
Riss, Mariane
Source :
Communications in Algebra. Feb2004, Vol. 32 Issue 2, p535-549. 15p.
Publication Year :
2004

Abstract

In this article we prove Broué's conjecture on isotypies for the case of principal blocs of Sp(4, Fq)〈σ〉 : a split cyclic extension of the symplectic group of dimension 4 over a finite field Fq for q odd. The core of the proof is to lift to the group Sp(4, Fq)〈σ〉 an isotypy of the group Sp(4, Fq). For this purpose, we build a convenient version of a theorem of lifting isotypies. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00927872
Volume :
32
Issue :
2
Database :
Academic Search Index
Journal :
Communications in Algebra
Publication Type :
Academic Journal
Accession number :
12584609
Full Text :
https://doi.org/10.1081/AGB-120027910