Groupes linéaires finis permutant deux fois transitivement un ensemble de droites

Details Groupes linéaires finis permutant deux fois transitivement un ensemble de droites Groupes linéaires finis permutant deux fois transitivement un ensemble de droites

2009-10-09

arxiv.org/abs/0910.1655v2

Mathematics

Group Theory

10 pages

Scientific paper

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={< v_1>,...,} such that : (1) V is generated by v_1,...,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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