Linear groups as stabilizers of sets
I. M. Isaacs
Proc. Amer. Math. Soc. 62 (1977), 28-30
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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.
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D. S. Passman, Infinite group rings, Dekker, New York, 1971.
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