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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Linear groups as stabilizers of sets
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by I. M. Isaacs
Proc. Amer. Math. Soc. 62 (1977), 28-30
DOI: https://doi.org/10.1090/S0002-9939-1977-0427489-3
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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.
References
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Bibliographic 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