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Tournaments and Ideal Class Groups

Published online by Cambridge University Press:  20 November 2018

Robert J. Kingan
Robert J. Kingan*
Affiliation:
Innovative Emergency Management, Inc., 7423 Picardy Avenue, Suite E, Baton Rouge, Louisiana 70808, U.S.A.
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Abstract

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Results are given for a class of square {0,1}-matrices which provide information about the 4-rank of the ideal class group of certain quadratic number fields.

Keywords

10A50
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 38 , Issue 3 , 01 September 1995 , pp. 330 - 333
Copyright
Copyright © Canadian Mathematical Society 1995

References

1. Gerth, F., The 4-class ranks of quadratic fields, Invent. Math. 77(1984), 496.Google Scholar
2. Moon, J. W., Topics on Tournaments. Holt, Rinehart, and Winston, 1968.Google Scholar
3. Rédei, L., Arithmetischer Beweis des Satzes über die Anzahl der durch vier teilbaren Invarianten der absoluten Klassengruppe im quadratischen Zahlkôrper, J. Reine Angew. Math. 171(1934), 55–60 Google Scholar