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Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

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The solubility of certain decision problems in arithmetic and algebra
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by Fritz J. Grunewald and Daniel Segal PDF
Bull. Amer. Math. Soc. 1 (1979), 915-918
References
  • Helmut Behr, Über die endliche Definierbarkeit verallgemeinerter Einheitengruppen, J. Reine Angew. Math. 211 (1962), 123–135 (German). MR 147524, DOI 10.1515/crll.1962.211.123
  • Armand Borel, Introduction aux groupes arithmétiques, Publications de l’Institut de Mathématique de l’Université de Strasbourg, XV. Actualités Scientifiques et Industrielles, No. 1341, Hermann, Paris, 1969 (French). MR 0244260
  • Armand Borel and Harish-Chandra, Arithmetic subgroups of algebraic groups, Ann. of Math. (2) 75 (1962), 485–535. MR 147566, DOI 10.2307/1970210
  • J. W. S. Cassels, Rational quadratic forms, London Mathematical Society Monographs, vol. 13, Academic Press, Inc. [Harcourt Brace Jovanovich, Publishers], London-New York, 1978. MR 522835
  • Fritz J. Grunewald, Solution of the conjugacy problem in certain arithmetic groups, Word problems, II (Conf. on Decision Problems in Algebra, Oxford, 1976), Studies in Logic and the Foundations of Mathematics, vol. 95, North-Holland, Amsterdam-New York, 1980, pp. 101–139. MR 579942
  • Fritz J. Grunewald and Daniel Segal, A note on arithmetic groups, Bull. London Math. Soc. 10 (1978), no. 3, 297–302. MR 519913, DOI 10.1112/blms/10.3.297
  • Fritz J. Grunewald and Daniel Segal, Conjugacy of subgroups in arithmetic groups, Proc. London Math. Soc. (3) 44 (1982), no. 1, 47–70. MR 642792, DOI 10.1112/plms/s3-44.1.47
  • [H] P. Hall, Nilpotent groups, Queen Mary College, London, 1969. [Hu] A. Hurwitz, Die unimodularen Substitutionen in einem algebraischen Zahlkörper, Nachr. Gesellschaft Wiss. Göttingen, 1895. [J] C. Jordan, Mémoire sur l’équivalence des formes, J. École Polytech. 48 (1880), 112-150.
  • M. I. Kargapolov, Some questions in the theory of soluble groups, Proceedings of the Second International Conference on the Theory of Groups (Australian Nat. Univ., Canberra, 1973) Lecture Notes in Math., Vol. 372, Springer, Berlin, 1974, pp. 389–394. MR 0364453
  • [P] H. Poincaré, Sur les formes cubiques ternaires et quaternaires, J. École Polytech. 51 (1882), 45-91. [Sa1] R. A. Sarkisjan, On the conjugacy problem, Mat. Zametkie N1 and N6, 1979. (Russian) [Sa2] R. A. Sarkisjan, Symposium on Group Theory in Tscherkasse, Uspehi Mat. Nauk (to appear)
  • Carl Ludwig Siegel, Zur Reduktionstheorie quadratischer Formen, Publications of the Mathematical Society of Japan, vol. 5, Mathematical Society of Japan, Tokyo, 1959 (German). MR 0140486
  • Richard G. Swan, Generators and relations for certain special linear groups, Advances in Math. 6 (1971), 1–77 (1971). MR 284516, DOI 10.1016/0001-8708(71)90027-2
  • Alfred Tarski, A decision method for elementary algebra and geometry, University of California Press, Berkeley-Los Angeles, Calif., 1951. 2nd ed. MR 0044472, DOI 10.1525/9780520348097
  • M. A. Taĭclin, The isomorphism problem for commutative semigroups, Mat. Sb. (N.S.) 93(135) (1974), 103–128, 152 (Russian). MR 0330326
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Additional Information
  • Journal: Bull. Amer. Math. Soc. 1 (1979), 915-918
  • MSC (1970): Primary 10C30, 10N05; Secondary 20F18
  • DOI: https://doi.org/10.1090/S0273-0979-1979-14692-5
  • MathSciNet review: 546317