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Central extensions and Schur’s multiplicators of Galois groups

Published online by Cambridge University Press:  22 January 2016

Katsuya Miyake
Katsuya Miyake*
Affiliation:
Department of Mathematics, Faculty of General Education, Nagoya University, Nagoya 464, Japan
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When he developed the theory of central extensions of absolute abelian fields in [1], Fröhlich clearly pointed out a role of Schur’s multiplicators of the Galois groups in algebraic number theory. Another role of them was to be well known when the gaps between the everywhere local norms and the global norms of finite Galois extensions were cohomologically described by Tate [10]. The relation of two roles was investigated by Furuta [2], Shirai [9], Heider [3] and others.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 90 , June 1983 , pp. 137 - 144
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1983

References

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