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On a Problem of Chevalley

Published online by Cambridge University Press:  22 January 2016

Hideo Kuniyoshi
Hideo Kuniyoshi*
Affiliation:
Mathematical Institute, Tôhoku University, Sendai
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In the present note we wish to deal with the same problem as the preceding paper [1] for the case of modular fields.

Let k be a ñeiá of characteristic and K = k(x1 …, xp) a purely-transcendental extension of k, Let S be the automorphism of K which is induced by the cyclic permutation (x1., .., xp) and L the fixed subfield of S. Then L is a purely transcendental extension field over k.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 8 , February 1955 , pp. 65 - 67
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1955

References

[1] Masuda, K.: On a problem of Chevalley, this journal.Google Scholar