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On a classification of the function fields of algebraic tori

Published online by Cambridge University Press:  22 January 2016

Shizuo Endo  and
Takehiko Miyata
Shizuo Endo
Affiliation:
Tokyo Metropolitan University, Osaka City University
Takehiko Miyata
Affiliation:
Tokyo Metropolitan University, Osaka City University
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Let II be a finite group and denote by MII the class of all (finitely generated Z-free) II-modules. In the previous paper [3] we defined an equivalence relation in MII and constructed the abelian semigroup T(II) by giving an addition to the set of all equivalence classes in MII . The investigation of the semigroup T(II) seems interesting and important, because this gives a classification of the function fields of algebraic tori defined over a field k which split over a Galois extension of k with group II.

Information

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 56 , January 1975 , pp. 85 - 104
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1975

References

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