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Transversals, S-rings and centraliser rings of groups

Group Theory

Part of the Lecture Notes in Mathematics book series (LNM,volume 848)

Keywords

  • Permutation Group
  • Centraliser Ring
  • Association Scheme
  • Frobenius Group
  • Transitive Permutation Group

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References

  1. Baer, R. "Nets and Groups I", Trans. Amer. Math. Soc. 46, 110–141 (1939).

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  2. Bruck, R. H. A survey of binary systems, Springer-Verlag, Berlin, Göttingen, Heidelberg (1958).

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  3. Cameron, P. J., "Suborbits in transitive permutation groups", in Combinatorics, M Hall Jr. and Van Lint, J. H. (eds), Mathematical Centre, Amsterdam, 419–450 (1975).

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  4. Delsarte, P. "An algebraic approach to the association schemes of coding theory", Philips Research Supplements 1973 No 10.

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  5. Johnson, K. W. and Sharma, B. L. "Construction of commutative weak inverse property loops of most orders", Communications in Algebra, 6(11), 1157–1168 (1978).

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  6. Scott, W. S. Group Theory, Prentice-Hall, New Jersey 1964.

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  7. Wielandt, H., Finite permutation groups. Academic Press, New York and London (1964).

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  8. Wielandt, H., Permutation groups through invariant relations and invariant functions, Lecture Notes, Ohio State University (1969).

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© 1981 Springer-Verlag

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Johnson, K.W. (1981). Transversals, S-rings and centraliser rings of groups. In: Amayo, R.K. (eds) Algebra Carbondale 1980. Lecture Notes in Mathematics, vol 848. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0090564

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  • DOI: https://doi.org/10.1007/BFb0090564

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10573-2

  • Online ISBN: 978-3-540-38549-3

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