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On the Inner Automorphisms of a Compact Group

Published online by Cambridge University Press:  22 January 2016

Shingo Murakami
Affiliation:
Osaka University and University of Education, Tokyo
Morikumi Gotô
Affiliation:
Osaka University and University of Education, Tokyo
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In this note, we give a characterization of inner automorphisms in the set of automorphisms of a compact connected group, and then apply it to give a proof of a theorem due to K. Iwasawa on the group of automorphisms of a compact group.

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Type
Research Article
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1952