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On Some Properties of Locally Compact Groups with no Small Subgroup

Published online by Cambridge University Press:  22 January 2016

Morikuni Gotô  and
Hidehiko Yamabe
Morikuni Gotô
Affiliation:
Mathematical Institute, Nagoya University and Osaka University
Hidehiko Yamabe
Affiliation:
Mathematical Institute, Nagoya University and Osaka University
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Let G be a locally compact group. Under a neighbourhood U we mean a symmetric (i.e. U = U−1) neighbourhood of the identity e, with the compact closure Ū. If there exists a neighbourhood U containing no subgroup other than the identity group, we say that G has no small subgroup.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 2 , February 1951 , pp. 29 - 33
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1951

References

[1] Gotô, M.: On local Lie groups in a locally compact group, forthcoming shortly.Google Scholar
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[6] Yamabe, H.: On the structure of locally compact groups, Osaka Math. Journ., Vol. 3 (1951).Google Scholar