Advertisement

Siberian Mathematical Journal

, Volume 44, Issue 3, pp 443–462 | Cite as

On Minimal Permutation Representations of Classical Simple Groups

  • M. A. Grechkoseeva
Article

Abstract

We describe minimal permutation representations, i.e., faithful permutation representations of least degree, of classical finite simple groups as groups of automorphisms of simple Lie algebras.

permutation representation finite simple group Lie-type group 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Mazurov V. D., “A minimal permutation representation of Thompson's simple group,” Algebra i Logika, 27, No. 5, 562–580 (1988).Google Scholar
  2. 2.
    Cooperstein B. N., “Minimal degree for a permutation representation of a classical group,” Israel J. Math., 30, No. 3, 213–235 (1978).Google Scholar
  3. 3.
    Mazurov V. D., “Minimal permutation representations of finite simple classical groups. Special linear, symplectic, and unitary groups,” Algebra i Logika, 32, No. 3, 267–287 (1993).Google Scholar
  4. 4.
    Vasil'ev V. A. and Mazurov V. D., “Minimal permutation representations of finite simple orthogonal groups,” Algebra i Logika, 33, No. 6, 603–627 (1994).Google Scholar
  5. 5.
    Vasil'ev V. A., “Minimal permutation representations of finite simple exceptional groups of types G 2 and F 4,” Algebra i Logika, 35, No. 6, 663–684 (1996).Google Scholar
  6. 6.
    Vasil'ev V. A., “Minimal permutation representations of finite simple exceptional groups of types E 6, E 7, and E 8,” Algebra i Logika, 36, No. 5, 518–530 (1997).Google Scholar
  7. 7.
    Vasil'ev V. A., “Minimal permutation representations of finite simple exceptional twisted groups,” Algebra i Logika, 37, No. 1, 17–35 (1998).Google Scholar
  8. 8.
    Carter R. W., Simple Groups of Lie Type, John Wiley and Sons, London (1972).Google Scholar

Copyright information

© Plenum Publishing Corporation 2003

Authors and Affiliations

  • M. A. Grechkoseeva
    • 1
  1. 1.Novosibirsk State UniversityUSSR

Personalised recommendations