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The class number of pure fields of prime degree

Published online by Cambridge University Press:  26 February 2010

Charles J. Parry  and
Colin D. Walter
Charles J. Parry
Affiliation:
Department of Mathematics, VPI & SU, Blacksburg, Virginia, U.S.A.
Colin D. Walter
Affiliation:
Department of Mathematics, University College, Dublin
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Extract

Here we give necessary and sufficient conditions foi a prime ι to divide the class number of the Galois closure of a pure field of degree ι over the rationals. The work extends that of Honda in [4] and that of the first author in [8].

Type
Research Article
Information
Mathematika , Volume 23 , Issue 2 , December 1976 , pp. 220 - 226
Copyright
Copyright © University College London 1976

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References

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