Groupes linéaires finis permutant deux fois transitivement un ensemble de droites

2009/10/09 by Lucas Vienne, Vienne, Lucas
Mathematics · #20B05 #20B20 #20B25 #Advanced Algebra and Geometry #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR) #Limits and Structures in Graph Theory

paper · pdf · doi:10.48550/arxiv.0910.1655

openalex publication_date 2009/10/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let n >1 be an integer, and G a doubly transitive subgroup of the symmetric group on X=1,...,n. In this paper we find all linear group representations rho of G on an euclidean vector space V which contains a set of equiangular vector lines GG=< v₁>,..., such that : (1) V is generated by v₁,...,v_n, (2) for all i in X and all g in G, = . Then we illustrate our construction when G=SL_d(q), q odd and d > 1.

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