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Centralizer algebras for an automorphism group of a finite incidence structure

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Questa nota è basata su una Conferenza tenuta presso l'Università di Milano nel gennaio 1986. Si vuol mostrare che l'Algebra centralizzante sui blocchi per l'azione di un gruppo di automorfismi di una struttura di incidenza determina completamente l'Algebra centralizzante per l'azione sui punti della struttura.

Summary

This note is based upon a talk I gave at the University of Milan in January, 1986. We shall prove that the centralizer algebra on blocks for the action of an automorphism group of an incidence structure determines completely the centralizer algebra for the action on the points of the structure.

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References

  1. Cameron P. J.,Suborbits in transitive permutation groups. In “Combinatorics”, Part 3, Mathematical Centre Tracts, Amsterdam 1975.

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  2. Siemons I. J.,Orbits in finite incidence structures. Geometriae dedicata 14, 1983, 87–94.

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  3. Wielandt,Finite Permutation Groups. New York, 1964.

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Authors and Affiliations

  1. dell'University of East Anglia, Norwich, G.B.

    Johannes Siemons

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  1. Johannes Siemons
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(Conferenza tenuta l'8 gennaio 1986)

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Siemons, J. Centralizer algebras for an automorphism group of a finite incidence structure. Seminario Mat. e. Fis. di Milano 56, 9–12 (1986). https://doi.org/10.1007/BF02925129

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  • DOI: https://doi.org/10.1007/BF02925129

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