Mináč, Ján; Schultz, Andrew; Swallow, John Arithmetic properties encoded in the Galois module structure of \(K^\times / K^{\times p^m}\). (English) Zbl 1502.12005 J. Number Theory 242, 669-708 (2023). Reviewer: Ivo M. Michailov (Shumen) MSC: 12F12 12F10 12G05 11R23 11R32 16D70 PDF BibTeX XML Cite \textit{J. Mináč} et al., J. Number Theory 242, 669--708 (2023; Zbl 1502.12005) Full Text: DOI arXiv
Mazhouda, Kamel; Sodaïgui, Bouchaïb; Taous, Mohammed On Steinitz classes, realizable Galois module classes and embedding problems for non-abelian extensions of degree a power of 2. (English) Zbl 1491.11105 Commun. Algebra 50, No. 4, 1446-1458 (2022). Reviewer: Isabelle Dubois (Metz) MSC: 11R33 PDF BibTeX XML Cite \textit{K. Mazhouda} et al., Commun. Algebra 50, No. 4, 1446--1458 (2022; Zbl 1491.11105) Full Text: DOI
Schultz, Andrew Parameterizing solutions to any Galois embedding problem over \(\mathbb{Z}/p^n\mathbb{Z}\) with elementary \(p\)-abelian kernel. (English) Zbl 1328.12008 J. Algebra 411, 50-91 (2014). MSC: 12F12 12F10 12G05 PDF BibTeX XML Cite \textit{A. Schultz}, J. Algebra 411, 50--91 (2014; Zbl 1328.12008) Full Text: DOI arXiv
Berg, Jen; Schultz, Andrew \(p\)-groups have unbounded realization multiplicity. (English) Zbl 1300.12005 Proc. Am. Math. Soc. 142, No. 7, 2281-2290 (2014). Reviewer: Ivan D. Chipchakov (Sofia) MSC: 12F10 12F12 PDF BibTeX XML Cite \textit{J. Berg} and \textit{A. Schultz}, Proc. Am. Math. Soc. 142, No. 7, 2281--2290 (2014; Zbl 1300.12005) Full Text: DOI arXiv
Grundman, Helen G.; Smith, Tara L. Galois realizability of groups of order 64. (English) Zbl 1256.12003 Cent. Eur. J. Math. 8, No. 5, 846-854 (2010). Reviewer: Ivo M. Michailov (Shumen) MSC: 12F12 PDF BibTeX XML Cite \textit{H. G. Grundman} and \textit{T. L. Smith}, Cent. Eur. J. Math. 8, No. 5, 846--854 (2010; Zbl 1256.12003) Full Text: DOI
Grundman, Helen G.; Smith, Tara L. Realizability and automatic realizability of Galois groups of order 32. (English) Zbl 1256.12002 Cent. Eur. J. Math. 8, No. 2, 244-260 (2010). Reviewer: Ivo M. Michailov (Shumen) MSC: 12F12 PDF BibTeX XML Cite \textit{H. G. Grundman} and \textit{T. L. Smith}, Cent. Eur. J. Math. 8, No. 2, 244--260 (2010; Zbl 1256.12002) Full Text: DOI
Grundman, H. G.; Smith, Tara L. Galois realizability of a central \(C_4\)-extension of \(D_8\). (English) Zbl 1222.12007 J. Algebra 322, No. 10, 3492-3498 (2009). Reviewer: Martin Epkenhans (Münster) MSC: 12F12 PDF BibTeX XML Cite \textit{H. G. Grundman} and \textit{T. L. Smith}, J. Algebra 322, No. 10, 3492--3498 (2009; Zbl 1222.12007) Full Text: DOI
Mináč, Ján; Schultz, Andrew; Swallow, John Automatic realization of Galois groups with cyclic quotient of order \(p^n\). (English) Zbl 1180.12002 J. Théor. Nombres Bordx. 20, No. 2, 419-430 (2008). Reviewer: Tara L. Smith (Cincinnati) MSC: 12F12 PDF BibTeX XML Cite \textit{J. Mináč} et al., J. Théor. Nombres Bordx. 20, No. 2, 419--430 (2008; Zbl 1180.12002) Full Text: DOI arXiv EuDML
Ichimura, H. Note on the rings of integers of certain tame 2-Galois extensions over a number field. (English) Zbl 1131.11069 Abh. Math. Semin. Univ. Hamb. 76, 63-68 (2006). Reviewer: Jürgen Ritter (Augsburg) MSC: 11R33 PDF BibTeX XML Cite \textit{H. Ichimura}, Abh. Math. Semin. Univ. Hamb. 76, 63--68 (2006; Zbl 1131.11069) Full Text: DOI
Mináč, Ján; Swallow, John Galois embedding problems with cyclic quotient of order \(p\). (English) Zbl 1069.12002 Isr. J. Math. 145, 93-112 (2005). Reviewer: Richard Massy (Valenciennes) MSC: 12F10 11R32 PDF BibTeX XML Cite \textit{J. Mináč} and \textit{J. Swallow}, Isr. J. Math. 145, 93--112 (2005; Zbl 1069.12002) Full Text: DOI arXiv
Grundman, Helen G.; Stewart, Grisha L. Galois realizability of non-split group extensions of \(C_{2}\) by (\(C_{2})^{r}\times (C_{4})^{s}\times (D_{4})^{t}\). (English) Zbl 1043.12004 J. Algebra 272, No. 2, 425-434 (2004). Reviewer: Martin Epkenhans (Münster) MSC: 12F12 PDF BibTeX XML Cite \textit{H. G. Grundman} and \textit{G. L. Stewart}, J. Algebra 272, No. 2, 425--434 (2004; Zbl 1043.12004) Full Text: DOI
Michailov, Ivo M. Embedding obstructions for the dihedral, semidihedral, and quaternion 2-groups. (English) Zbl 0998.12004 J. Algebra 245, No. 1, 355-369 (2001). Reviewer: Richard Massy (Valenciennes) MSC: 12F10 PDF BibTeX XML Cite \textit{I. M. Michailov}, J. Algebra 245, No. 1, 355--369 (2001; Zbl 0998.12004) Full Text: DOI Link
Black, Elena V.; Swallow, John R. Relative embedding problems. (English) Zbl 0991.12003 Trans. Am. Math. Soc. 353, No. 6, 2347-2370 (2001). Reviewer: M.Epkenhans (Paderborn) MSC: 12F12 12F10 PDF BibTeX XML Cite \textit{E. V. Black} and \textit{J. R. Swallow}, Trans. Am. Math. Soc. 353, No. 6, 2347--2370 (2001; Zbl 0991.12003) Full Text: DOI
Michailov, Ivo M.; Ziapkov, Nikola P. Embedding obstructions for the generalized quaternion group. (English) Zbl 0973.12003 J. Algebra 226, No. 1, 375-389 (2000). Reviewer: Tara L.Smith (Cincinnati) MSC: 12F12 12F10 PDF BibTeX XML Cite \textit{I. M. Michailov} and \textit{N. P. Ziapkov}, J. Algebra 226, No. 1, 375--389 (2000; Zbl 0973.12003) Full Text: DOI Link
Sodaïgui, Bouchaïb Relative Galois module structure and Steinitz classes of dihedral extensions of degree 8. (English) Zbl 0953.11036 J. Algebra 223, No. 1, 367-378 (2000). Reviewer: Franz Lemmermeyer (San Marcos) MSC: 11R65 11R33 PDF BibTeX XML Cite \textit{B. Sodaïgui}, J. Algebra 223, No. 1, 367--378 (2000; Zbl 0953.11036) Full Text: DOI
Lemmermeyer, Franz Unramified quaternion extensions of quadratic number fields. (English) Zbl 0890.11031 J. Théor. Nombres Bordx. 9, No. 1, 51-68 (1997). Reviewer: Tara L.Smith (Cincinnati) MSC: 11R21 11R11 PDF BibTeX XML Cite \textit{F. Lemmermeyer}, J. Théor. Nombres Bordx. 9, No. 1, 51--68 (1997; Zbl 0890.11031) Full Text: DOI arXiv Numdam EuDML EMIS
Drees, Christof; Epkenhans, Martin; Krüskemper, Martin On the computation of the trace form of some Galois extensions. (English) Zbl 0873.11027 J. Algebra 192, No. 1, 209-234 (1997). Reviewer: Tara L.Smith (Cincinnati) MSC: 11E12 11R32 PDF BibTeX XML Cite \textit{C. Drees} et al., J. Algebra 192, No. 1, 209--234 (1997; Zbl 0873.11027) Full Text: DOI
Grundman, Helen G.; Smith, Tara L. Automatic realizability of Galois groups of order 16. (English) Zbl 0862.12005 Proc. Am. Math. Soc. 124, No. 9, 2631-2640 (1996). Reviewer: M.Epkenhans (Paderborn) MSC: 12F12 12F10 PDF BibTeX XML Cite \textit{H. G. Grundman} and \textit{T. L. Smith}, Proc. Am. Math. Soc. 124, No. 9, 2631--2640 (1996; Zbl 0862.12005) Full Text: DOI