Groupes lin\'eaires finis permutant deux fois transitivement un ensemble de droites

Publication date: 9 October 2009

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={< 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.

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) General theory for finite permutation groups (20B05) Multiply transitive finite groups (20B20)

This page was built for publication: Groupes lin\'eaires finis permutant deux fois transitivement un ensemble de droites

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6215805)