Semidirect products of topological groups with equal uniformities
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- by R. W. Bagley and K. K. Lau PDF
- Proc. Amer. Math. Soc. 29 (1971), 179-182 Request permission
Abstract:
If $H \text {\textcircled {$s$}} K$ is a semidirect product such that the automorphisms of $K$ induced by $H$ are inner automorphisms, $H$ has equal uniformities and $K$ is compact, then $H \text {\textcircle {$s$}} K$ has equal uniformities. Other closely related results are obtained and used to give an alternate proof that a semidirect product $V \text {\textcircle {$s$}} K$ of a vector group and a compact group is isomorphic to the direct product $V \times K$.References
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Additional Information
- © Copyright 1971 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 29 (1971), 179-182
- MSC: Primary 22.10
- DOI: https://doi.org/10.1090/S0002-9939-1971-0274645-8
- MathSciNet review: 0274645