Algebra and Logic

, Volume 10, Issue 4, pp 281–296 | Cite as

Exact representations for free groups

  • D. I. Éidel'kind


Free Group Mathematical Logic Exact Representation 
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Literature cited

  1. 1.
    K. Chevallé, Group Theory [Russian translation], Vol. 2, IL (1958).Google Scholar
  2. 2.
    A. Borel, “Groupes linéaires algébriques,” Ann. Math.,64, No. 1, 20–82 (1956).Google Scholar
  3. 3.
    Yu. I. Merzlyakov, Rational Groups [in Russian], Vol. 1, Novosibirsk (1967).Google Scholar
  4. 4.
    Kh. Neiman, Varieties of Groups [in Russian], Mir (1969).Google Scholar
  5. 5.
    B. I. Plotkin, Groups of Automorphisms of Algebraic Systems [in Russian], Mir (1966).Google Scholar
  6. 6.
    I. N. Sanov, “A property of a representation of a free group,” Dokl. Akad. Nauk SSSR,57, No. 7, 657–659 (1947).Google Scholar
  7. 7.
    W. Magnus, “On a theorem of Marshall Hall,” Ann. Math.,40 (2), No. 4, 764–768 (1939).Google Scholar
  8. 8.
    V. M. Kopytov, “Representations of finitely generated groups by matrices,” Sibirsk. Mat., Zh.,11, No. 1, 91–102 (1970).Google Scholar
  9. 9.
    V. P. Platonov, “Linear groups with identity relations,” Dokl. Akad. Nauk SSSR,11, No. 7, 581–582 (1967).Google Scholar
  10. 10.
    A. I. Mal'tsev, “An isomorphism of a representation of infinite groups by matrices,” Matem. Sb.,8, No. 3, 405–422 (1940).Google Scholar
  11. 11.
    K. K. Andreev, “Nilpotent groups and Lie algebras,” Algebra i Logika,7, No. 4, 4–14 (1968).Google Scholar
  12. 12.
    K. K. Andreev, “Nilpotent groups and Lie Algebras. 2,” Algebra i Logika,8, No. 6, 625–635 (1969).Google Scholar
  13. 13.
    A. L. Shmel'kin, “Interlacing and varieties of groups,” Izv. Akad. Nauk SSSR, Ser. Matem.,29, No. 1, 149–170 (1965).Google Scholar
  14. 14.
    A. L. Shmel'kin, “Free polynilpotent groups,” Izv. Akad. Nauk SSSR, Ser. Matem.,28, No. 1, 91–122 (1964).Google Scholar
  15. 15.
    F. Hall, “Nilpotent groups,” Mathematica,12, No. 1, 3–36 (1968).Google Scholar
  16. 16.
    Yu. A. Bakhturin, “Two notes on varieties of Lie algebras,” Matem. Zametski,4, No. 4, 387–398 (1968).Google Scholar
  17. 17.
    E. Witt, “Treue Darstellung Liescher Ringe,” J. Reine Angew. Math., 177, 152–160 (1937).Google Scholar
  18. 18.
    N. Jacobson, Lie Algebras [Russian translation], Mir (1964).Google Scholar
  19. 19.
    A. I. Mal'tsev, “Algebras with identity-defining relations,” Matem. Sb.,26, No. 1, 19–33 (1950).Google Scholar

Copyright information

© Consultants Bureau 1973

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  • D. I. Éidel'kind

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