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Invariant Relations, Coherent Configurations and Generalized Polygons

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Part of the book series: NATO Advanced Study Institutes Series ((ASIC,volume 16))

Abstract

A high point in the combinatorial approach to the theory of finite permutation groups is Wielandt’s theory of invariant relations, culminating in his theorem on groups of degree p2 [16]. In section 1 we give a few rudiments of Wielandt’s theory in the context of the theory of G-spaces, illustrating the concepts by a proof, which seems first to have been made explicit by R. Liebler [12], of a theorem of Alperin [1].

Research supported in part by the National Science Foundation.

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References

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M. Hall Jr. J. H. van Lint

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© 1975 Mathematical Centre, Amsterdam

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Higman, D.G. (1975). Invariant Relations, Coherent Configurations and Generalized Polygons. In: Hall, M., van Lint, J.H. (eds) Combinatorics. NATO Advanced Study Institutes Series, vol 16. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-1826-5_18

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  • DOI: https://doi.org/10.1007/978-94-010-1826-5_18

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-1828-9

  • Online ISBN: 978-94-010-1826-5

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