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Coherent configurations

Part I: Ordinary representation theory

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Bibliography

  1. Alperin, J., ‘On a Theorem of Manning’, Math. Z. 88 (1965), 434–435.

    Google Scholar 

  2. Bose, R. C. and Mesner, Dale M., ‘On Linear Associative Algebras Corresponding to Association Schemes of Partially Balanced Designs’, Ann. Math. Stat. 30 (1959), 21–28.

    Google Scholar 

  3. Carter, R. W., Simple groups of Lie Type, John Wiley and Sons, New York, 1972.

    Google Scholar 

  4. Curtis, C. W. and Fossum, T. V., ‘On Centralizer Rings and Characters of Representations of Finite Groups’, Math. Z. 107 (1968), 402–406.

    Article  CAS  PubMed  Google Scholar 

  5. Dornhoff, L., ‘Primitive Solvable Rank 3 Permutation Groups’, Yale University Notes (1968).

  6. Foulser, D., ‘Solvable Primitive Permutation Groups of Low Rank’, Am. Math. Soc. 143 (1969), 1–54.

    Google Scholar 

  7. Frame, J. S., ‘The Double Cosets of a Finite Group’, Bull. Am. Math. Soc. 47 (1941), 458–467.

    Google Scholar 

  8. Hestenes, M. and Higman, D. G., ‘Rank 3 Groups and Strongly Regular Graphs’, AMS Proceedings of Symposia in Pure Mathematics.

  9. Higman, D. G., ‘Finite Permutation Groups of Rank 3’, Math. Z. 86 (1964), 145–156.

    Google Scholar 

  10. Higman, D. G., ‘Intersection Matrices for Finite Permutation Groups’, J. Algebra 6 (1967), 22–42.

    Google Scholar 

  11. Higman, D. G., ‘Coherent Configurations I’, Rend. Sem. Mat. Univ. Padova XLIV (1970), 1–25.

    Google Scholar 

  12. Higman, D. G., ‘Partial Geometries, Generalized Quadrangles and Strongly Regular Graphs’, Atti del Convegno di Geometria Combinatoria e sue Applicazioni, Perugia (1971), 263–293.

  13. Higman, D. G., ‘Combinatorial Considerations About Permutation Groups’, Oxford Lecture Notes 1972.

  14. Higman, D. G., ‘Schur Relations for Weighted Adjacency Algebras’.

  15. Keller, G., ‘Concerning Degrees of Irreducible Characters’, Math. Z. 107 (1968), 221–224.

    Google Scholar 

  16. Scott, L. L., Jr., ‘A Condition on Higman's Parameters’, AMS Notices, January 1973, 701-20-45.

  17. Seidel, J.J., ‘Strongly Regular Graphs with (−1, 1, 0)-Adjacency Matrix having Eigen Value 3’, Lin. Alg. Appl. 1 (1968), 281–298.

    Google Scholar 

  18. Sims, C. C., ‘On Graphs with Rank 3 Automorphism Groups’, J. Comb. Theory, author: incomplete reference.

  19. Wielandt, H., Finite Permutation Groups, Academic Press, New York, 1964.

    Google Scholar 

  20. Wielandt, H., ‘Permutation Groups Through Invariant Relations and Invariant Functions’, Ohio State University, Lecture Notes (1969).

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Authors and Affiliations

  1. Dept. of Mathematics, University of Michigan, 48101, Ann Arbor, Mich, USA

    D. G. Higman

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  1. D. G. Higman
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Research supported in part by the National Science Foundation.

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Higman, D.G. Coherent configurations. Geom Dedicata 4, 1–32 (1975). https://doi.org/10.1007/BF00147398

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  • DOI: https://doi.org/10.1007/BF00147398

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