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Minimal permutation representations of finite simple exceptional twisted groups

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Abstract

A minimal permutation representation of a group is its faithful permutation representation of least degree. Here the minimal permutation representations of finite simple exceptional twisted groups are studied: their degrees and point stabilizers, as well as ranks, subdegrees, and double stabilizers, are found. We can thus assert that, modulo the classification of finite simple groups, the aforesaid parameters are known for all finite simple groups.

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Authors
  1. A. V. Vasilyev
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Additional information

Supported by RFFR grant No. 96-01-01893, through the program “Universities of Russia”, and by grant No. RPC300 of ISF and the Government of Russia.

Translated fromAlgebra i Logika, Vol. 37, No. 1, pp. 17–35, January–February, 1998.

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Vasilyev, A.V. Minimal permutation representations of finite simple exceptional twisted groups. Algebr Logic 37, 9–20 (1998). https://doi.org/10.1007/BF02684081

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  • DOI: https://doi.org/10.1007/BF02684081

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