Remote Access Bulletin of the American Mathematical Society

Bulletin of the American Mathematical Society

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

 
 

 

The solubility of certain decision problems in arithmetic and algebra


Authors: Fritz J. Grunewald and Daniel Segal
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
Full-text PDF

References | Similar Articles | Additional Information

References [Enhancements On Off] (What's this?)

  • [Be] H. Behr, Uber die endliche Definierbarkeit verallgemeinerter Einheitengruppen, J. Reine Angew. Math. 211 (1962), 123-135. MR 147524
  • [Bo] A. Borel, Introduction aux groupes arithmétiques, Hermann, Paris, 1969. MR 244260
  • [BH] A. Borel and Harish-Chandra, Arithmetic subgroups of algebraic groups, Ann. of Math. (2) 75 (1962), 485-535. MR 147566
  • 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), Stud. Logic Foundations Math., 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, https://doi.org/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, https://doi.org/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.
  • [K] M. I. Kargapolov, Some questions in the theory of soluble groups, Proc. 2nd Internat. Conf. Theory of Groups, Lecture Notes in Math., vol. 372, Springer-Verlag, Berlin and New York, 1973, pp. 389-394. MR 364453
  • [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)
  • [Si] C. L. Siegel, Zur Reduktionstheorie Quadratischer Formen, Math. Soc. Japan, Tokyo, 1959. MR 140486
  • [SW] R. G. Swan, Generators and relations for certain special linear groups, Advances in Math. 6 (1971), 1-77. MR 284516
  • [T] A. Tarski, A Decision method for elementary algebra and geometry, 2nd. ed., University of California, 1951. MR 44472
  • [Ta] M. A. Tayzlin, On the isomorphism problem for commutative semigroups, Mat. Sb. 93, No. 1, 1979. MR 330326

Similar Articles

Retrieve articles in Bulletin of the American Mathematical Society with MSC (1970): 10C30, 10N05, 20F18

Retrieve articles in all journals with MSC (1970): 10C30, 10N05, 20F18


Additional Information

DOI: https://doi.org/10.1090/S0273-0979-1979-14692-5

American Mathematical Society