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On Everywhere Dense Imbedding of Free Groups in Lie Groups

Published online by Cambridge University Press:  22 January 2016

Masatake Kuranishi
Masatake Kuranishi*
Affiliation:
Mathematical Institute, Nagoya University
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In this note it will be proved that some kinds of Lie groups (including semi-simple Lie groups) have an everywhere dense subgroup which is algebraically isomorphic to the free group generated by two elements (Theorem 8),

In § 1 characterizations of Lie groups which are approximated by discrete subgroups’ are given. This section is closely connected with a part of the results of Malcev [4] and Matsushima [5], and some theorems are slight modifications of them (Theorems 2 and 3).

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 2 , February 1951 , pp. 63 - 71
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1951

References

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