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Homology representations of finite groups

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Part of the Lecture Notes in Mathematics book series (LNM,volume 832)

Keywords

  • Finite Group
  • Simplicial Complex
  • Homology Representation
  • Semisimple Element
  • Spherical Building

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References

  1. D. Alvis, The duality operation in the character ring of a finite Chevalley group, to appear.

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  2. G. E. Bredon, Introduction to compact transformation groups, Academic Press, New York, 1972.

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  3. C. W. Curtis, G. I. Lehrer and J. Tits, Spherical buildings and the character of the Steinberg representation, to appear.

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  4. S. Eilenberg and N. Steenrod, Foundations of algebraic topology, Princeton University Press, Princeton, 1952.

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  5. R. Godement, Théorie des faisceaux, Actualitiés scientifiques et industrielles 1252, Hermann, Paris 1964.

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  6. L. L. Scott, Modular permutation representation, Trans. Amer. Math. Soc. 175 (1973), 101–121.

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  7. L. Solomon, The Steinberg character of a finite group with a BN-pair, Theory of finite groups (ed. by R. Brauer and C. H. Sah), W. A. Benjamin, New York, 1969, 213–221.

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  8. T. A. Springer, Caracteres de groupes de Chevalley finis, Sem. Bourbaki, 1972/73, no. 429.

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© 1980 Springer-Verlag

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Curtis, C.W. (1980). Homology representations of finite groups. In: Dlab, V., Gabriel, P. (eds) Representation Theory II. Lecture Notes in Mathematics, vol 832. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0088463

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  • DOI: https://doi.org/10.1007/BFb0088463

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10264-9

  • Online ISBN: 978-3-540-38387-1

  • eBook Packages: Springer Book Archive