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Properties of the normset relating to the class group
Author(s):
Jim
Coykendall
Journal:
Proc. Amer. Math. Soc.
124
(1996),
3587-3593.
MSC (1991):
Primary 11R04, 11R29;
Secondary 11Y40
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Abstract:
In a recent paper by the author the normset and its multiplicative structure was studied. In that paper it was shown that under certain conditions (including Galois) that a normset has unique factorization if and only if its corresponding ring of integers has unique factorization. In this paper we shall examine some of the properties of a normset and describe what it says about the class group of the corresponding ring of integers.
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- G. Gras, Sur les l-classes d'ideaux dans les extensions cycliques relatives de degre premier l, Annales de l'Institut Fourier 23 (3) (1973), 1-48; and 23 (4) (1973), 1-43. MR 50:12967
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Additional Information:
Jim
Coykendall
Affiliation:
Department of Mathematics, Cornell University, Ithaca, New York 14853
Address at time of publication:
Department of Mathematics, North Dakota State University, Fargo, North Dakota 58105-5075
DOI:
10.1090/S0002-9939-96-03387-4
PII:
S 0002-9939(96)03387-4
Received by editor(s):
December 21, 1994
Received by editor(s) in revised form:
March 27, 1995
Communicated by:
William W. Adams
Copyright of article:
Copyright
1996,
American Mathematical Society
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