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Infinitely generated subgroups of finitely presented groups. I

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Bibliography

  1. Amayo, R.K., Stewart, I.: Finitely generated lie algebras. J. London math. Soc.5, 697–703 (1972)

    Google Scholar 

  2. Baumslag, G., Cannonito, F.: Word problems in lie algebras, in preparation

  3. Boone, W.W., Higman, G.: An algebraic characterization of groups with solvable word problem. J. Australian math. Soc.15, 41–53 (1974)

    Google Scholar 

  4. Boone, W.W., Rogers, Jr., H.: On a problem of J.H.C. Whitehead and a problem of Alonzo Church. Math. Scandinav.19, 185–192 (1966)

    Google Scholar 

  5. Cannonito, F.B., Gatterdam, R.W.: The computability of group constructions, part I. In Word Problems (Irvine, California 1969) pp. 365–400. Amsterdam. North-Holland 1973

    Google Scholar 

  6. Clapham, C.R.J.: Finitely presented groups with word problems of arbitrary degrees of unsolubility. Proc. London math. Soc. III. Ser.,14, 633–676 (1964)

    Google Scholar 

  7. Cohn, P.M.: Universal Algebra. New York: Harper and Row 1965

    Google Scholar 

  8. Gatterdam, R.W.: The computability of group constructions, II. Bull. Austral. math. Soc.8, 27–60 (1973)

    Google Scholar 

  9. Hall, P.: Finiteness conditions for soluble groups. Proc. London math. Soc. III. Ser.,4, 419–436 (1954)

    Google Scholar 

  10. Higman, G.: Subgroups of finitely presented groups. Proc. roy. Soc. London, Ser. A,262, 455–475 (1961)

    Google Scholar 

  11. Lewin, J.: A finitely presented group whose group of automorphisms is infinitely generated. J. London math. Soc.42, 610–613 (1967)

    Google Scholar 

  12. Macintyre, A.: On algebraically closed groups. Ann. of Math.96, 53–97 (1972)

    Google Scholar 

  13. Magnus, W., Karrass, A., Solitar, D.: Combinatorial Group Theory. New York: Interscience 1966

    Google Scholar 

  14. Mal'cev, A.I.: On faithful representations of infinite groups of matrices. Mat. Sbornik, n. Ser.8, 405–422 (1940); Amer. math. Soc. Transl., II. Ser.45, 1–18 (1965)

    Google Scholar 

  15. Miller III, C.F.: On Group-theoretic Decision Problems and Their Classification. Annals of Mathematics68. Princeton: Princeton University Press 1971

    Google Scholar 

  16. Neumann, H.: Varieties of Groups. Berlin-Heidelberg-New York: Springer 1967

    Google Scholar 

  17. Nielsen, J.: A'basis for subgroups of free groups. Math. Scandinav.13, 31–43 (1955)

    Google Scholar 

  18. Rabin, M.O.: Computable algebra, general theory and theory of computable fields. Trans. Amer. math. Soc.95, 344–360 (1960)

    Google Scholar 

  19. Wehrfritz, B.A.F.: Infinite Linear Groups. Berlin-Heidelberg-New York: Springer 1973

    Google Scholar 

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Baumslag, G., Cannonito, F.B. & Miller, C.F. Infinitely generated subgroups of finitely presented groups. I. Math Z 153, 117–134 (1977). https://doi.org/10.1007/BF01179785

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