Fröhlich, A. A normal integral basis theorem. (English) Zbl 0345.12001 J. Algebra 39, 131-137 (1976). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 4 Documents MSC: 11R04 Algebraic numbers; rings of algebraic integers 11R32 Galois theory PDFBibTeX XMLCite \textit{A. Fröhlich}, J. Algebra 39, 131--137 (1976; Zbl 0345.12001) Full Text: DOI References: [1] Fröhlich, A., Artin root numbers and normal integral bases for quaternion fields, Invent. Math., 17, 143-166 (1972) · Zbl 0261.12008 [2] Fröhlich, A., Module invariants and roots numbers for quaternion fields of degree \(4l^r\), (Proc. Cambridge Philos. Soc., 76 (1974)), 393-399 · Zbl 0304.12008 [3] Fröhlich, A., Locally free modules over arithmetic orders, Crelle, 274/75, 112-138 (1975) · Zbl 0316.12013 [4] Fröhlich, A., Resolvents and trace form, (Math. Proc. Cambridge Philos. Soc., 8 (1975)), 85-210 · Zbl 0321.12019 [5] A. FröhlichCrelle; A. FröhlichCrelle [6] Fröhlich, A.; Keating, M.; Wilson, S., The classgroups of dihedral 2-groups, Mathematika, 21, 64-71 (1974) · Zbl 0303.12006 [7] Galovich, A.; Reiner, I.; Ullom, S., Classgroups for integral representations of metacyclic groups, Mathematika, 19, 105-111 (1972) · Zbl 0248.12010 [8] Hasse, H., Artinsche Führer, Artinsche \(L\)-Funktionen und Gaussche Summen über endlich algebraischen Zahlkörpern, Acta Salmant. (1954) · Zbl 0057.27305 [9] Jacobinski, H., Genera and decomposition of lattices over orders, Acta Math., 121, 1-29 (1968) · Zbl 0167.04503 [10] Martinet, J., Sur l’arithmétique des extensions Galoisiennes a groupe de Galois diedral d’ordre \(2p\), Ann. Inst. Fourier, 19, 1-80 (1969) · Zbl 0165.06502 [11] Martinet, J., Modules sur l’algèbre du groupe quaternionien, Ann. Sci. École Norm. Sup., 4, 399-408 (1971) · Zbl 0219.12012 [12] Noether, E., Normalbasis bei Körpern ohne höhere Verzweigung, Crelle, 167, 147-152 (1932) · JFM 58.0172.02 [13] Reiner, I.; Ullom, S.; Mayer, A., Vietories sequence for classgroups, J. of Algebra, 31, 305-342 (1974) 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. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.