Mouhib, A. On \(2\)-class field towers of some real quadratic number fields with \(2\)-class groups of rank \(3\). (English) Zbl 1302.11090 Ill. J. Math. 57, No. 4, 1009-1018 (2013). MSC: 11R29 11R32 11R37 PDFBibTeX XMLCite \textit{A. Mouhib}, Ill. J. Math. 57, No. 4, 1009--1018 (2013; Zbl 1302.11090) Full Text: Euclid
Foster, Kurt HT90 and “simplest” number fields. (English) Zbl 1300.12004 Ill. J. Math. 55, No. 4, 1621-1655 (2011). Reviewer: Richard Massy (Valenciennes) MSC: 12E10 11R09 11R11 12F10 12F12 PDFBibTeX XMLCite \textit{K. Foster}, Ill. J. Math. 55, No. 4, 1621--1655 (2011; Zbl 1300.12004) Full Text: arXiv Euclid
Bley, Werner; Breuning, Manuel Exact algorithms for \(p\)-adic fields and epsilon constant conjectures. (English) Zbl 1205.11140 Ill. J. Math. 52, No. 3, 773-797 (2008). Reviewer: Gabriel D. Villa-Salvador (México D.F.) MSC: 11Y40 11S23 11S25 PDFBibTeX XMLCite \textit{W. Bley} and \textit{M. Breuning}, Ill. J. Math. 52, No. 3, 773--797 (2008; Zbl 1205.11140) Full Text: Euclid
Bleher, Frauke M.; Chinburg, Ted Deformations with respect to an algebraic group. (English) Zbl 1054.20005 Ill. J. Math. 47, No. 3, 899-919 (2003). Reviewer: L. N. Vaserstein (University Park) MSC: 20C20 11E81 11E88 20E18 20G05 PDFBibTeX XMLCite \textit{F. M. Bleher} and \textit{T. Chinburg}, Ill. J. Math. 47, No. 3, 899--919 (2003; Zbl 1054.20005)
Nomura, Akito Notes on the existence of certain unramified 2-extensions. (English) Zbl 1024.12005 Ill. J. Math. 46, No. 4, 1279-1286 (2002). Reviewer: C.U.Jensen (København) MSC: 12F12 11R29 11R39 PDFBibTeX XMLCite \textit{A. Nomura}, Ill. J. Math. 46, No. 4, 1279--1286 (2002; Zbl 1024.12005)
Hübl, Reinhold Log-resolution, derivations, and evolutions. (English) Zbl 1072.13013 Ill. J. Math. 46, No. 1, 269-286 (2002). MSC: 13N15 13A35 11R32 PDFBibTeX XMLCite \textit{R. Hübl}, Ill. J. Math. 46, No. 1, 269--286 (2002; Zbl 1072.13013)
Pillay, Anand Differential Galois theory. I. (English) Zbl 0916.03028 Ill. J. Math. 42, No. 4, 678-699 (1998). Reviewer: C.Toffalori (Camerino) MSC: 03C60 12H05 PDFBibTeX XMLCite \textit{A. Pillay}, Ill. J. Math. 42, No. 4, 678--699 (1998; Zbl 0916.03028)
Marker, David; Pillay, Anand Differential Galois theory. III: Some inverse problems. (English) Zbl 0927.03065 Ill. J. Math. 41, No. 3, 453-461 (1997). Reviewer: C.Toffalori (Camerino) MSC: 03C60 12H05 12L12 PDFBibTeX XMLCite \textit{D. Marker} and \textit{A. Pillay}, Ill. J. Math. 41, No. 3, 453--461 (1997; Zbl 0927.03065)
Vaidya, Sanju Generalized Puiseux expansions and their Galois groups. (English) Zbl 0904.12003 Ill. J. Math. 41, No. 1, 129-141 (1997). Reviewer: Doru Ştefănescu (Bucureşti) MSC: 12F10 13F25 12F05 20B25 PDFBibTeX XMLCite \textit{S. Vaidya}, Ill. J. Math. 41, No. 1, 129--141 (1997; Zbl 0904.12003)
Chan, Shih-Ping; Lim, Chong-Hai The associated orders of rings of integers in Lubin-Tate division fields over the \(p\)-adic number field. (English) Zbl 0816.11061 Ill. J. Math. 39, No. 1, 30-38 (1995). Reviewer: Zhang Xianke (Beijing) MSC: 11R33 11S31 PDFBibTeX XMLCite \textit{S.-P. Chan} and \textit{C.-H. Lim}, Ill. J. Math. 39, No. 1, 30--38 (1995; Zbl 0816.11061)
Efrat, Ido; Koenigsmann, Jochen On a generalized Artin-Schreier theorem for real-maximal fields. (English) Zbl 0789.12001 Ill. J. Math. 37, No. 3, 477-488 (1993). Reviewer: I.Efrat (Heidelberg) MSC: 12D15 12J15 12F10 PDFBibTeX XMLCite \textit{I. Efrat} and \textit{J. Koenigsmann}, Ill. J. Math. 37, No. 3, 477--488 (1993; Zbl 0789.12001)
Schmidt, Thomas A. Quaternion \(L\)-value congruences and governing fields of \(S\)-class groups. (English) Zbl 0734.11067 Ill. J. Math. 35, No. 4, 642-682 (1991). Reviewer: Thomas A. Schmidt (Chester/PA) MSC: 11R37 11R33 11R27 PDFBibTeX XMLCite \textit{T. A. Schmidt}, Ill. J. Math. 35, No. 4, 642--682 (1991; Zbl 0734.11067)
Kim, Seyong A generalization of Froehlich’s theorem to wildly ramified quaternion extensions of \(\mathbb Q\). (English) Zbl 0719.11076 Ill. J. Math. 35, No. 1, 158-189 (1991). Reviewer: Seyong Kim MSC: 11R33 11R32 11S20 11S23 PDFBibTeX XMLCite \textit{S. Kim}, Ill. J. Math. 35, No. 1, 158--189 (1991; Zbl 0719.11076)
Beale, Stephen; Harrison, D. K. Generalized cyclotomic fields. (English) Zbl 0708.11056 Ill. J. Math. 33, No. 4, 691-703 (1989). Reviewer: Franz Halter-Koch (Graz) MSC: 11R32 12F10 11R18 PDFBibTeX XMLCite \textit{S. Beale} and \textit{D. K. Harrison}, Ill. J. Math. 33, No. 4, 691--703 (1989; Zbl 0708.11056)
Everest, G. R. Units in abelian group rings and meromorphic functions. (English) Zbl 0897.11033 Ill. J. Math. 33, No. 4, 542-553 (1989). MSC: 11R33 20C05 PDFBibTeX XMLCite \textit{G. R. Everest}, Ill. J. Math. 33, No. 4, 542--553 (1989; Zbl 0897.11033)
Fröhlich, A. Module defect and factorisability. (English) Zbl 0664.12007 Ill. J. Math. 32, No. 3, 407-421 (1988). Reviewer: Hans Opolka (Braunschweig) MSC: 11R32 11R33 11R42 11R52 PDFBibTeX XMLCite \textit{A. Fröhlich}, Ill. J. Math. 32, No. 3, 407--421 (1988; Zbl 0664.12007)
Taylor, M. J. Mordell-Weil groups and the Galois module structure of rings of integers. (English) Zbl 0631.14033 Ill. J. Math. 32, No. 3, 428-452 (1988). MSC: 14K22 14G05 11R33 14H45 14H52 11R32 PDFBibTeX XMLCite \textit{M. J. Taylor}, Ill. J. Math. 32, No. 3, 428--452 (1988; Zbl 0631.14033)
Miyata, Yoshimasa Vertices of ideals of a \({\mathfrak p}\)-adic number field. (English) Zbl 0611.12013 Ill. J. Math. 31, 185-199 (1987). Reviewer: H.Yokoi MSC: 11S15 11S20 13C10 PDFBibTeX XMLCite \textit{Y. Miyata}, Ill. J. Math. 31, 185--199 (1987; Zbl 0611.12013)
Federer, Leslie Jane Noetherian \({\mathbb{Z}}_ p[[T]]\)-modules, adjoints, and Iwasawa theory. (English) Zbl 0596.12006 Ill. J. Math. 30, 636-652 (1986). Reviewer: L.Skula MSC: 11R18 13C12 PDFBibTeX XMLCite \textit{L. J. Federer}, Ill. J. Math. 30, 636--652 (1986; Zbl 0596.12006)
Queyrut, Jacques Anneaux d’entiers dans le même genre. (French) Zbl 0552.12005 Ill. J. Math. 29, 157-179 (1985). Reviewer: Jan Van Geel (Gent) MSC: 11R33 11R32 12G05 16S34 16E20 PDFBibTeX XMLCite \textit{J. Queyrut}, Ill. J. Math. 29, 157--179 (1985; Zbl 0552.12005)
Gold, Robert Rational Coates-Wiles series. (English) Zbl 0538.12003 Ill. J. Math. 28, 379-382 (1984). Reviewer: Ch.Parry MSC: 11R18 11S80 11R23 11R32 11S20 PDFBibTeX XMLCite \textit{R. Gold}, Ill. J. Math. 28, 379--382 (1984; Zbl 0538.12003)
Childs, L. N. Tame Kummer extensions and Stickelberger conditions. (English) Zbl 0533.12006 Ill. J. Math. 28, 547-554 (1984). Reviewer: L. N. Childs MSC: 11R18 11R33 11S15 20C10 16S34 PDFBibTeX XMLCite \textit{L. N. Childs}, Ill. J. Math. 28, 547--554 (1984; Zbl 0533.12006)
Bushnell, C. J. Diophantine approximation and norm distribution in Galois orbits. (English) Zbl 0516.12007 Ill. J. Math. 27, 145-157 (1983). MSC: 11R32 11J68 11R33 16S34 11D75 PDFBibTeX XMLCite \textit{C. J. Bushnell}, Ill. J. Math. 27, 145--157 (1983; Zbl 0516.12007)
Jarden, Moshe; Ritter, Juergen On irreducible tame representations of the absolute Galois extension of a local field \(K\) and symplectic-type extensions of \(K\). (English) Zbl 0488.12013 Ill. J. Math. 27, 14-30 (1983). Reviewer: Moshe Jarden (Tel Aviv) MSC: 11S15 11S20 20C20 PDFBibTeX XMLCite \textit{M. Jarden} and \textit{J. Ritter}, Ill. J. Math. 27, 14--30 (1983; Zbl 0488.12013)
Childs, L. N. Stickelberger relations and tame extensions of prime degree. (English) Zbl 0438.12002 Ill. J. Math. 25, 258-266 (1981). MSC: 11R23 11R32 11R18 PDFBibTeX XMLCite \textit{L. N. Childs}, Ill. J. Math. 25, 258--266 (1981; Zbl 0438.12002)
Cohen, S. D. The distribution of the Galois groups of integral polynomials. (English) Zbl 0402.12005 Ill. J. Math. 23, 135-152 (1979). MSC: 11R32 12F05 11R58 11R45 PDFBibTeX XMLCite \textit{S. D. Cohen}, Ill. J. Math. 23, 135--152 (1979; Zbl 0402.12005)
Gold, Robert Hilbert class fields and split extensions. (English) Zbl 0346.12004 Ill. J. Math. 21, 66-69 (1977). MSC: 11R32 11R37 PDFBibTeX XMLCite \textit{R. Gold}, Ill. J. Math. 21, 66--69 (1977; Zbl 0346.12004)
Childs, L. N. Abelian Galois extensions of rings containing roots of unity. (English) Zbl 0211.37102 Ill. J. Math. 15, 273-280 (1971). MSC: 13B05 PDFBibTeX XMLCite \textit{L. N. Childs}, Ill. J. Math. 15, 273--280 (1971; Zbl 0211.37102)