×

zbMATH — the first resource for mathematics

Sur la structure galoisienne du groupe des unites d’un corps abelien réel de type (p,p). (French) Zbl 0459.12002

MSC:
11R27 Units and factorization
11R23 Iwasawa theory
11R32 Galois theory
PDF BibTeX XML Cite
Full Text: DOI
References:
[1] Bouvier, L; Payan, J.J, Sur la structure galoisienne du groupe des unités d’un corps abélien de type (p, p), Ann. inst. Fourier (Grenoble), 1, 171-187, (1979) · Zbl 0387.12007
[2] Chevalley, C, Sur la théorie du corps de classes dans LES corps finis et LES corps locaux, thèse, J. fac. sci. Tokyo ser. I, 2, 365-476, (1933) · JFM 59.0190.01
[3] Curtis, C.W; Reiner, I, Representation theory of finite groups and associative algebras, (1962), Interscience New York/London/Sydney · Zbl 0131.25601
[4] Dade, E.C; Dade, E.C, Endo-permutation modules over p-groups, I, II, Ann. of math., Ann. of math., 108, 317-346, (1978) · Zbl 0404.16003
[5] Duval, D, Représentations entières des groupes cycliques d’ordre premier, Sém. th. nombres, VI1-VI9, (1973-1974), Grenoble
[6] Duval, D, Sur la structure galoisienne du groupe des unités d’un corps abélien réel de type (p, p), Sém. th. nombres, II1-II41, (1978-1979), Grenoble
[7] Johnson, D.L, Indecomposable representations of the group (p, p) over a field of characteristic p, J. London math. soc., 1, 43-50, (1969) · Zbl 0179.32802
[8] Kuroda, S, Über die klassenzahlen algebraischer zahlkörper, Nagoya math. J., 1, 1-10, (1950) · Zbl 0037.16101
[9] Kuroda, S.N, Über die klassenzahl eines relativ-zyklischen zahlkörpers vom primzahlgrade, (), 623-626 · Zbl 0128.03405
[10] Lang, S, Cyclotomic fields, (1978), Springer-Verlag New York/Heidelberg/Berlin · Zbl 0395.12005
[11] Martinet, J, A propos de classes d’idéaux, Sém. th. nombres, V01-V10, (1971-1972), Bordeaux
[12] Moser, N, Unités et nombre de classes d’une extension galoisienne diédrale de \(Q\), Abh. math. sem. univ. Hamburg, 48, 54-75, (1979) · Zbl 0387.12005
[13] Nazarova, L.A; Nazarova, L.A, Unimodular representations of the four group, Dokl. akad. nauk SSSR, Soviet math. dokl. _2, 140, 1304-1307, (1961) · Zbl 0106.02602
[14] Värmon, J, Über Abel’sche Körper, deren alle gruppeninvarianten aus einer primzahl l bestehen, and über Abel’sche Körper als kreiskörper, Akad. abh. Lund, 1-162, (1925) · JFM 51.0123.05
[15] Reiner, I, A survey of integral representation theory, Bull. amer. math. soc., 16, 159-227, (1970) · Zbl 0194.04701
[16] Reiner, I, Indecomposable representations of non-cyclic groups, Michigan math. J. _9, 187-191, (1972) · Zbl 0108.03102
[17] Serre, J.P, Cohomologie galoisienne, () · Zbl 0812.12002
[18] Yokoi, H, On the class number of a relatively cyclic number field, Nagoya math. J., 29, 31-44, (1967) · Zbl 0166.05803
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.