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Minimal permutation representations of finite simple exceptional groups of typesE 6,E 7, andE 8

Algebra and Logic Aims and scope

Abstract

A minimal permutation representation of a group is its faithful permutation representation of least degree. We will find degrees and point stabilizers, as well as ranks, subdegrees, and double stabilizers, for groups of types E6, E7, and E8. This brings to a close the study of minimal permutation representations of finite simple Chevalley groups.

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References

  1. A. V. Vasilyev, “Minimal permutation representations of finite simple exceptional groups of typesG 2 andF 4,”Algebra Logika,35, No. 6, 663–684 (1996).

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  2. M. W. Liebeck and J. Saxl, “On the orders of maximal subgroups of the finite exceptional groups of Lie type,”Proc. London Math. Soc.,55, 299–330 (1987).

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Authors
  1. A. V. Vasilyev
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Additional information

Supported by RFFR grant No. 93-01-01501, through the program “Universities of Russia,” and by grant No. RPC300 of ISF and the Government of Russia.

Translated fromAlgebra i Logika, Vol. 36, No. 5, pp. 518–530, September–October, 1997.

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Vasilyev, A.V. Minimal permutation representations of finite simple exceptional groups of typesE 6,E 7, andE 8 . Algebr Logic 36, 302–310 (1997). https://doi.org/10.1007/BF02671607

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  • DOI: https://doi.org/10.1007/BF02671607

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