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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Linear groups as stabilizers of sets


Author: I. M. Isaacs
Journal: Proc. Amer. Math. Soc. 62 (1977), 28-30
MSC: Primary 20G15
MathSciNet review: 0427489
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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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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1977-0427489-3
PII: S 0002-9939(1977)0427489-3
Keywords: Linear group, stabilizer of subset of vector space
Article copyright: © Copyright 1977 American Mathematical Society