Field Theory

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  46. Jörn Müller-Quade and Rainer Steinwandt, Gröbner bases applied to finitely generated field extensions, J. Symbolic Comput. 30 (2000), no. 4, 469–490.[MR]
  47. Jörn Müller-Quade and Rainer Steinwandt, Recognizing simple subextensions of purely transcendental field extensions, Appl. Algebra Engrg. Comm. Comput. 11 (2000), no. 1, 35–41.[MR]
  48. B. V. Petrenko, On the product of two primitive elements of maximal subfields of a finite field, J. Pure Appl. Algebra 178 (2003), no. 3, 297–306.[MR]
  49. B. V. Petrenko, On the sum of two primitive elements of maximal subfields of a finite field, Finite Fields Appl. 9 (2003), no. 1, 102–116.[MR]
  50. Renault Guénaél Renault, Computation of the splitting field of a dihedral polynomial, in ISSAC '06: Proceedings of the 2006 International Symposium on Symbolic and Algebraic Computation, ACM Press, New York, NY, USA, 2006, pp. 290–297.[doi]
  51. I. F. Rúa, Elías F. Combarro, and J. Ranilla, Classification of semifields of order 64, J. Algebra 322 (2009), no. 11, 4011–4029.[MR/doi]
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  53. Núria Vila Sara Arias-de-Reyna, Tame Galois realizations of GSp4(Fl) over Q, preprint (2009), 29 pages.[arXiv]
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  55. Romyar T. Sharifi, On Galois groups of unramified pro-p extensions, Math. Ann. 342 (2008), no. 2, 297–308.[MR]
  56. Kirby C. Smith and Leon van Wyk, A concrete matrix field description of some Galois fields, Linear Algebra Appl. 403 (2005), 159–164.[MR]
  57. Leonard Soicher and John McKay, Computing Galois groups over the rationals, J. Number Theory 20 (1985), no. 3, 273–281.[MR]
  58. Blair K. Spearman, Kenneth S. Williams, and Qiduan Yang, The 2-power degree subfields of the splitting fields of polynomials with Frobenius Galois groups, Comm. Algebra 31 (2003), no. 10, 4745–4763.[MR]
  59. Allan Steel, A new scheme for computing with algebraically closed fields, Algorithmic Number Theory (Sydney, 2002), Lecture Notes in Comput. Sci., vol. 2369, Springer, Berlin, 2002, pp. 491–505.[MR]
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  61. Rainer Steinwandt, On computing a separating transcendence basis, SIGSAM Bulletin 34 (2000), no. 4.
  62. Rainer Steinwandt and Jörn Müller-Quade, Freeness, linear disjointness, and implicitization—a classical approach, Beiträge Algebra Geom. 41 (2000), no. 1, 57–66.[MR]