Linear groups as stabilizers of sets
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- by I. M. Isaacs PDF
- Proc. Amer. Math. Soc. 62 (1977), 28-30 Request permission
Abstract:
A finite linear group over an infinite field is necessarily the full setwise stabilizer of some finite subset of the corresponding vector space. If the group is absolutely irreducible, the set can be taken to be a single orbit.References
- I. N. Herstein, Topics in algebra, 2nd ed., Xerox College Publishing, Lexington, Mass.-Toronto, Ont., 1975. MR 0356988
- Donald S. Passman, Infinite group rings, Pure and Applied Mathematics, vol. 6, Marcel Dekker, Inc., New York, 1971. MR 0314951
Additional Information
- © Copyright 1977 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 62 (1977), 28-30
- MSC: Primary 20G15
- DOI: https://doi.org/10.1090/S0002-9939-1977-0427489-3
- MathSciNet review: 0427489