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.
Similar content being viewed by others
References
Mazurov V. D., “A minimal permutation representation of Thompson's simple group,” Algebra i Logika, 27, No. 5, 562–580 (1988).
Cooperstein B. N., “Minimal degree for a permutation representation of a classical group,” Israel J. Math., 30, No. 3, 213–235 (1978).
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).
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).
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).
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).
Vasil'ev V. A., “Minimal permutation representations of finite simple exceptional twisted groups,” Algebra i Logika, 37, No. 1, 17–35 (1998).
Carter R. W., Simple Groups of Lie Type, John Wiley and Sons, London (1972).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Grechkoseeva, M.A. On Minimal Permutation Representations of Classical Simple Groups. Siberian Mathematical Journal 44, 443–462 (2003). https://doi.org/10.1023/A:1023860730624
Issue Date:
DOI: https://doi.org/10.1023/A:1023860730624