Mayer, Daniel C. Differential principal factors and Pólya property of pure metacyclic fields. (English) Zbl 1443.11225 Int. J. Number Theory 15, No. 10, 1983-2025 (2019). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11R20 11R29 13F20 PDF BibTeX XML Cite \textit{D. C. Mayer}, Int. J. Number Theory 15, No. 10, 1983--2025 (2019; Zbl 1443.11225) Full Text: DOI
Ueki, Jun On the Iwasawa invariants for links and Kida’s formula. (English) Zbl 1375.57004 Int. J. Math. 28, No. 6, Article ID 1750035, 30 p. (2017). Reviewer: Thomas B. Ward (Leeds) MSC: 57M12 57M25 57M27 57M60 11R23 PDF BibTeX XML Cite \textit{J. Ueki}, Int. J. Math. 28, No. 6, Article ID 1750035, 30 p. (2017; Zbl 1375.57004) Full Text: DOI arXiv
Taous, Mohammed; Zekhnini, Abdelkader Pólya groups of the imaginary bicyclic biquadratic number fields. (English) Zbl 1428.11185 J. Number Theory 177, 307-327 (2017). MSC: 11R04 11R16 11R27 13F20 PDF BibTeX XML Cite \textit{M. Taous} and \textit{A. Zekhnini}, J. Number Theory 177, 307--327 (2017; Zbl 1428.11185) Full Text: DOI
Taous, Mohammed On the Pólya group of some imaginary biquadratic fields. (English) Zbl 1366.11108 Gueye, Cheikh Thiécoumbe (ed.) et al., Non-associative and non-commutative algebra and operator theory. NANCAOT, Dakar, Senegal, May 23–25, 2014: workshop in honor of Professor Amin Kaidi. Cham: Springer (ISBN 978-3-319-32900-0/hbk; 978-3-319-32902-4/ebook). Springer Proceedings in Mathematics & Statistics 160, 175-182 (2016). MSC: 11R11 11R04 PDF BibTeX XML Cite \textit{M. Taous}, in: Non-associative and non-commutative algebra and operator theory. NANCAOT, Dakar, Senegal, May 23--25, 2014: workshop in honor of Professor Amin Kaidi. Cham: Springer. 175--182 (2016; Zbl 1366.11108) Full Text: DOI
Ueki, Jun On the homology of branched coverings of 3-manifolds. (English) Zbl 1295.57002 Nagoya Math. J. 213, 21-39 (2014). Reviewer: Daciberg Lima Gonçalves (São Paulo) MSC: 57M12 12G05 57M27 11R29 11R32 PDF BibTeX XML Cite \textit{J. Ueki}, Nagoya Math. J. 213, 21--39 (2014; Zbl 1295.57002) Full Text: DOI Euclid
Ozaki, Manabu Construction of maximal unramified \(p\)-extensions with prescribed Galois groups. (English) Zbl 1232.11118 Invent. Math. 183, No. 3, 649-680 (2011). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 11R32 PDF BibTeX XML Cite \textit{M. Ozaki}, Invent. Math. 183, No. 3, 649--680 (2011; Zbl 1232.11118) Full Text: DOI arXiv
Mouhib, Ali; Movahhedi, Abbas On the \(p\)-class tower of a \(\mathbb Z_p\)-extension. (English) Zbl 1209.11095 Tokyo J. Math. 31, No. 2, 321-332 (2008). Reviewer: Dongho Byeon (Seoul) MSC: 11R23 11R32 PDF BibTeX XML Cite \textit{A. Mouhib} and \textit{A. Movahhedi}, Tokyo J. Math. 31, No. 2, 321--332 (2008; Zbl 1209.11095) Full Text: DOI
Kihel, Omar Unit groups for complex dihedral extensions of degree 10 over \(\mathbb Q\). (Groupe des unités pour des extensions diédrales complexes de degré 10 sur \(\mathbb Q\).) (French) Zbl 1012.11096 J. Théor. Nombres Bordx. 13, No. 2, 469-482 (2001). Reviewer: Claude Levesque (Quebec) MSC: 11R27 11R32 PDF BibTeX XML Cite \textit{O. Kihel}, J. Théor. Nombres Bordx. 13, No. 2, 469--482 (2001; Zbl 1012.11096) Full Text: DOI EMIS Numdam EuDML
Benjamin, Elliot; Parry, Charles J. Refined lower bounds on the 2-class number of the Hilbert 2-class field of imaginary quadratic number fields with elementary 2-class group of rank 3. (English) Zbl 0929.11047 J. Number Theory 76, No. 2, 167-177 (1999). Reviewer: Franz Lemmermeyer (Bonn) MSC: 11R29 11R11 PDF BibTeX XML Cite \textit{E. Benjamin} and \textit{C. J. Parry}, J. Number Theory 76, No. 2, 167--177 (1999; Zbl 0929.11047) Full Text: DOI
Benjamin, Elliot; Lemmermeyer, Franz; Snyder, C. Real quadratic fields with abelian 2-class field tower. (English) Zbl 0919.11073 J. Number Theory 73, No. 2, 182-194 (1998). Reviewer: P.Stevenhagen (Amsterdam) MSC: 11R37 11R11 PDF BibTeX XML Cite \textit{E. Benjamin} et al., J. Number Theory 73, No. 2, 182--194 (1998; Zbl 0919.11073) Full Text: DOI
Hajir, Farshid On the growth of \(p\)-class groups in \(p\)-class field towers. (English) Zbl 0879.11069 J. Algebra 188, No. 1, 256-271 (1997). Reviewer: H.Koch (Berlin) MSC: 11S31 11R37 PDF BibTeX XML Cite \textit{F. Hajir}, J. Algebra 188, No. 1, 256--271 (1997; Zbl 0879.11069) Full Text: DOI
Lemmermeyer, Franz On 2-class field towers of imaginary quadratic number fields. (English) Zbl 0826.11052 J. Théor. Nombres Bordx. 6, No. 2, 261-272 (1994). Reviewer: H.Koch (Berlin) MSC: 11R37 11R11 PDF BibTeX XML Cite \textit{F. Lemmermeyer}, J. Théor. Nombres Bordx. 6, No. 2, 261--272 (1994; Zbl 0826.11052) Full Text: DOI EMIS Numdam EuDML
Bond, Robert J. On the splitting of the Hilbert class field. (English) Zbl 0778.11063 J. Number Theory 42, No. 3, 349-360 (1992). Reviewer: C.Parry (Blacksburg) MSC: 11R37 11R11 PDF BibTeX XML Cite \textit{R. J. Bond}, J. Number Theory 42, No. 3, 349--360 (1992; Zbl 0778.11063) Full Text: DOI
Zanardo, P.; Zannier, U. The group of Pythagorean triples in number fields. (English) Zbl 0762.11009 Ann. Mat. Pura Appl., IV. Ser. 159, 81-88 (1991). Reviewer: W.Narkiewicz (Wrocław) MSC: 11D09 11E25 11R99 PDF BibTeX XML Cite \textit{P. Zanardo} and \textit{U. Zannier}, Ann. Mat. Pura Appl. (4) 159, 81--88 (1991; Zbl 0762.11009) Full Text: DOI
Perret, Marc Tours ramifiées infinies de corps de classes. (Infinite ramified class field towers). (French) Zbl 0741.11044 J. Number Theory 38, No. 3, 300-322 (1991). Reviewer: C.Parry (Blacksburg) MSC: 11R37 11G20 14H05 PDF BibTeX XML Cite \textit{M. Perret}, J. Number Theory 38, No. 3, 300--322 (1991; Zbl 0741.11044) Full Text: DOI
Iwasawa, Kenkichi A note on capitulation problem for number fields. I, II. (English) Zbl 0704.11047 Proc. Japan Acad., Ser. A 65, No. 2, 59-61 (1989); 65, No. 6, 183-186 (1989). Reviewer: Teruo Takeuchi (Niigata) MSC: 11R37 11R20 11R29 11R18 PDF BibTeX XML Cite \textit{K. Iwasawa}, Proc. Japan Acad., Ser. A 65, No. 2, 59--61 (1989; Zbl 0704.11047) Full Text: DOI
Hemard, Denis Torsion Galois modules and embeddings in \(\mathbb Z_p\)-extensions. (Modules galoisiens de torsion et plongements dans les \(\mathbb Z_p\)-extensions.) (French) Zbl 0666.12002 J. Number Theory 30, No. 3, 357-374 (1988). Reviewer: Lindsay N. Childs (Midlothian) MSC: 11R32 11R18 PDF BibTeX XML Cite \textit{D. Hemard}, J. Number Theory 30, No. 3, 357--374 (1988; Zbl 0666.12002) Full Text: DOI
Bond, Robert J. Unramified abelian extensions of number fields. (English) Zbl 0649.12008 J. Number Theory 30, No. 1, 1-10 (1988). Reviewer: B. Z. Moroz (Bonn) MSC: 11R37 11R18 11R29 11R34 PDF BibTeX XML Cite \textit{R. J. Bond}, J. Number Theory 30, No. 1, 1--10 (1988; Zbl 0649.12008) Full Text: DOI
Miki, Hiroo On the Leopoldt conjecture on the p-adic regulators. (English) Zbl 0621.12009 J. Number Theory 26, 117-128 (1987). Reviewer: C.-G.Schmidt MSC: 11R18 11R27 11R34 PDF BibTeX XML Cite \textit{H. Miki}, J. Number Theory 26, 117--128 (1987; Zbl 0621.12009) Full Text: DOI
Yamashita, Hiroshi The second cohomology groups of the group of units of a \({\mathbb{Z}}_ p\)- extension. (English) Zbl 0539.12006 Tôhoku Math. J., II. Ser. 36, 75-80 (1984). Reviewer: Ch.Parry MSC: 11R34 11R18 11R27 11S25 11R23 PDF BibTeX XML Cite \textit{H. Yamashita}, Tohoku Math. J. (2) 36, 75--80 (1984; Zbl 0539.12006) Full Text: DOI
Jaulent, Jean-François \(\ell\)-classes infinitésimales d’un corps de nombres algébriques. (French) Zbl 0522.12014 Ann. Inst. Fourier 34, No. 2, 1-27 (1984). MSC: 11R99 11R37 11S15 11R18 11R32 PDF BibTeX XML Cite \textit{J.-F. Jaulent}, Ann. Inst. Fourier 34, No. 2, 1--27 (1984; Zbl 0522.12014) Full Text: DOI Numdam EuDML
Bayer, Eva Unimodular Hermitian and skew-Hermitian forms. (English) Zbl 0482.10021 J. Algebra 74, 341-373 (1982). MSC: 11E16 12E99 11R80 PDF BibTeX XML Cite \textit{E. Bayer}, J. Algebra 74, 341--373 (1982; Zbl 0482.10021) Full Text: DOI
Hattori, Akira Some arithmetical applications of groups \(H^ q(\)R,G). (English) Zbl 0476.12009 Tohoku Math. J., II. Ser. 33, 35-63 (1981). MSC: 11R34 13D03 11R37 12G05 PDF BibTeX XML Cite \textit{A. Hattori}, Tohoku Math. J. (2) 33, 35--63 (1981; Zbl 0476.12009) Full Text: DOI
Bond, Robert J. Some results on the capitulation problem. (English) Zbl 0458.12007 J. Number Theory 13, 246-254 (1981). MSC: 11R37 11R23 11R18 PDF BibTeX XML Cite \textit{R. J. Bond}, J. Number Theory 13, 246--254 (1981; Zbl 0458.12007) Full Text: DOI
Kida, Yûji \(\ell\)-extensions of CM-fields and cyclotomic invariants. (English) Zbl 0455.12007 J. Number Theory 12, 519-528 (1980). Reviewer: T. Lepistö MSC: 11R23 11G15 11R29 11R80 11R18 PDF BibTeX XML Cite \textit{Y. Kida}, J. Number Theory 12, 519--528 (1980; Zbl 0455.12007) Full Text: DOI
Setzer, C. Bennett Units over totally real \(C_2\times C_2\) fields. (English) Zbl 0449.12003 J. Number Theory 12, 160-175 (1980). MSC: 11R27 11R16 11R80 PDF BibTeX XML Cite \textit{C. B. Setzer}, J. Number Theory 12, 160--175 (1980; Zbl 0449.12003) Full Text: DOI
Moser, Nicole Sur les unités d’une extension galoisienne non abélienne de degrè \(pq\) du corps des rationnels, \(p\) et \(q\) nombres premiers impairs. (French) Zbl 0387.12003 Ann. Inst. Fourier 29, No. 1, 137-158 (1979). MSC: 11R27 11R21 PDF BibTeX XML Cite \textit{N. Moser}, Ann. Inst. Fourier 29, No. 1, 137--158 (1979; Zbl 0387.12003) Full Text: DOI Numdam EuDML
Gras, Marie-Nicole Classes et unités des extensions cycliques réelles de degré 4 de \(\mathbb{Q}\). (French) Zbl 0387.12001 Ann. Inst. Fourier 29, No. 1, 107-124 (1979). MSC: 11R16 12-04 11R27 11R11 11R23 PDF BibTeX XML Cite \textit{M.-N. Gras}, Ann. Inst. Fourier 29, No. 1, 107--124 (1979; Zbl 0387.12001) Full Text: DOI Numdam EuDML
Kisilevsky, H. Number fields with class number congruent to 4 mod 8 and Hilbert’s Theorem 94. (English) Zbl 0334.12019 J. Number Theory 8, 271-279 (1976). MSC: 11R37 11R11 PDF BibTeX XML Cite \textit{H. Kisilevsky}, J. Number Theory 8, 271--279 (1976; Zbl 0334.12019) Full Text: DOI
Gold, Robert The nontriviality of certain Z\(_l\)-extensions. (English) Zbl 0288.12004 J. Number Theory 6, 369-373 (1974). MSC: 11R18 11R37 11R11 11R23 PDF BibTeX XML Cite \textit{R. Gold}, J. Number Theory 6, 369--373 (1974; Zbl 0288.12004) Full Text: DOI
Gras, Georges Sur les \(\ell\)-classes d’idéaux dans les extensions cycliques rélatives de degré premier \(\ell\). I. (French) Zbl 0276.12013 Ann. Inst. Fourier 23, No. 3, 1-48 (1973). Reviewer: Helmut Koch (Berlin) MSC: 11R29 11R37 PDF BibTeX XML Cite \textit{G. Gras}, Ann. Inst. Fourier 23, No. 3, 1--48 (1973; Zbl 0276.12013) Full Text: DOI Numdam Numdam EuDML
Gras, Georges Sur les \(\ell\)-classes d’idéaux dans les extensions cycliques rélatives de degré premier \(\ell\). II. (French) Zbl 0262.12007 Ann. Inst. Fourier 23, No. 4, 1-44 (1973). MSC: 11R23 PDF BibTeX XML Cite \textit{G. Gras}, Ann. Inst. Fourier 23, No. 4, 1--44 (1973; Zbl 0262.12007) Full Text: DOI Link EuDML
Kisilevsky, H. Some results related to Hilbert’s theorem 94. (English) Zbl 0216.04701 J. Number Theory 2, 199-206 (1970). Reviewer: Helmut Koch (Berlin) MSC: 11R18 11R29 PDF BibTeX XML Cite \textit{H. Kisilevsky}, J. Number Theory 2, 199--206 (1970; Zbl 0216.04701) Full Text: DOI