Groupes linéaires finis permutant deux fois transitivement un ensemble de droites - Mathematics > Group TheoryReport as inadecuate




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Abstract: Let n >1 be an integer, and G a doubly transitive subgroup of the symmetricgroup on X={1,

.,n}. In this paper we find all linear group representationsrho of G on an euclidean vector space V which contains a set of equiangularvector 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 whenG=SL dq, q odd and d > 1.



Author: Lucas Vienne LAREMA

Source: https://arxiv.org/







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