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Group-theoretic constraints on the structure of the class group. (English) Zbl 0456.12005


MSC:

11R29 Class numbers, class groups, discriminants
11R32 Galois theory
11R18 Cyclotomic extensions
11R16 Cubic and quartic extensions
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References:

[1] Fröhlich, A, On the class group of relatively abelian fields, Quart. J. math. Oxford ser (2), 3, 98-106, (1952) · Zbl 0049.16102
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[3] Hasse, H, Über die klassenzahl abelscher zahlkörper, (1952), Akademie Verlag Berlin · Zbl 0063.01966
[4] Inaba, E, Über die structur der l-klassengruppe zyklischen zahlkörper vom primzahlgrad l, J. fac. sci. univ. Tokyo, sect. II, 4, 61-115, (1940) · JFM 66.0120.05
[5] Iwasawa, K, A note on class numbers of algebraic number fields, Abh. math. sem. univ. Hamburg, 20, 257-258, (1956) · Zbl 0074.03002
[6] Masley, J.M, Odlyzko bounds and class number problems, (), 465-474
[7] Narkiewicz, W, ()
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[9] Rechtenstamm, G.Schrutka v, Tabelle der (relativ-) klassenzahlen von kreiskorper, Abh. deutsche akad. wiss. Berlin, math. nat. kl. nr., 2, (1964) · Zbl 0199.09803
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