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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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Compactly generated subgroups and open subgroups of locally compact groups
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by R. W. Bagley, T. S. Wu and J. S. Yang
Proc. Amer. Math. Soc. 103 (1988), 969-976
DOI: https://doi.org/10.1090/S0002-9939-1988-0947692-0

Abstract:

This paper contains results of the following sort: If $G$ is a locally compact group and $H$ is a closed subgroup such that the coset space $G/H$ is locally connected, then $H{G_0}$ is open in $G$. If $G$ is a locally compact group such that $G/{G_0}$ is compact, then every closed subgroup of $G$ is compactly generated if and only if ${G_0}$ has no noncompact simple factor.
References
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Bibliographic Information
  • © Copyright 1988 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 103 (1988), 969-976
  • MSC: Primary 22D05
  • DOI: https://doi.org/10.1090/S0002-9939-1988-0947692-0
  • MathSciNet review: 947692