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Class groups of metacyclic groups of order p'q,p a regular prime

Published online by Cambridge University Press:  26 February 2010

M. E. Keating
M. E. Keating
Affiliation:
Imperial College, London, S.W.7.
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Extract

Let p be an odd prime, let q be a divisor of p – 1, and let α be a primitive q-th root modulo p. For each natural number r the metacyclic group Gr is defined by

Type
Research Article
Information
Mathematika , Volume 21 , Issue 1 , June 1974 , pp. 90 - 95
Copyright
Copyright © University College London 1974

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References

1.Bass, H.. Alebraic K-theory (Benjamin, New York, 1968).Google Scholar
2.Galovich, S.. “The class group of a cyclic p-group”, J. Algebra (to appear).Google Scholar
3.Galovich, S., Reiner, I. and Ullom, S.. “Class groups for integral representations of metacyclic groups”, Mathematika, 19 (1972), 105–111.CrossRefGoogle Scholar
4.Jacobinski, H.. “Two remarks about hereditary orders”, Proc. Amer. Math. Soc, 28 (1971), 1–8.CrossRefGoogle Scholar
5.Keating, M. E.. “Whitehead groups of some metacyclic groups and orders”, J. Algebra, 22 (1972), 332–349.CrossRefGoogle Scholar
6.Milnor, J.. Introduction to Algebraic K-theory, Annals of Mathematics Studies (Princeton University Press, Princeton, 1971).Google Scholar
7.Reiner, I. and Ullom, S., “A Mayer-Vietoris sequence for class groups”, J. Algebra, (to appear)Google Scholar
8.Serre, J. P.. Corps Locaux (Hermann, Paris, 1962).Google Scholar
9.Swan, R. G.. “Excision in algebraic K-theory”, J. Pure and Applied Algebra, 1 (1971), 221–252CrossRefGoogle Scholar