Frank Levin's publications

The list below of Frank Levin's publications was prepared by Benjamin Baumslag. We have made editorial changes to bring the format into our style:


  1. Frank Levin, On the Algebraic Theory of Linear Multidifferential Polynomials, Thesis (Ph.D.)-University of Cincinnati, 1955. 55 pp.

  2. Frank Levin, On ideals in multidifferential polynomial rings, Math. Ann. 132 (1956), 289-309.

  3. Frank Levin, Solutions of equations over groups, Bull. Amer. Math. Soc. 68 (1962), 603-604.

  4. Frank Levin, One variable equations over groups, Arch. Math. (Basel) 15 (1964), 179-188.

  5. Frank Levin, On some varieties of soluble groups. I, Math. Z. 85 (1964), 369-372.

  6. Gilbert Baumslag and Frank Levin, On free metabelian products, Math. Z. 88 (1965), 375-379.

  7. Hermann Heineken and Frank Levin, Varieties of groups satisfying one two-variable law, Publ. Math. Debrecen 14 (1967), 211-225.

  8. Frank Levin, On some varieties of soluble groups. II, Math. Z. 103 (1968), 162-172.

  9. Frank Levin, Factor groups of the modular group, J. London Math. Soc. 43 (1968), 195-203.

  10. Frank Levin, Generating groups for nilpotent varieties, J. Austral. Math. Soc. 11 (1970), 28-32

  11. Frank Levin, On the laws of free nilpotent groups, J. Reine Angew. Math. 242 (1970), 108-114.

  12. Frank Levin, One variable equations over semigroups, Bull. Austral. Math. Soc. 2 (1970), 247-252.

  13. Narain Gupta and Frank Levin, Some symmetric varieties of groups, Bull. Austral. Math. Soc. 3 (1970), 97-105.

  14. Frank Levin, On torsion-free nilpotent varieties, in Collection of articles dedicated to Wilhelm Magnus, Comm. Pure Appl. Math. 26 (1973), 757-765.

  15. Narain Gupta, Frank Levin and Akbar Rhemtulla, Chains of varieties, Canad. J. Math. 26 (1974), 190-206.

  16. Narain Gupta and Frank Levin, Generating groups of certain soluble varieties, in Collection of articles dedicated to the memory of Hanna Neumann, VI. J. Austral. Math. Soc. 17 (1974), 222-233.

  17. Frank Levin, Correction to: "On torsion-free nilpotent varieties" (Comm. Pure Appl. Math. 26 (1973), 757-765), Comm. Pure Appl. Math. 27 (1974), 583.

  18. Narain Gupta and Frank Levin, Separating laws for free centre-by-metabelian nilpotent groups, Comm. Algebra 4 (3) (1976), 249-270.

  19. Benjamin Baumslag and Frank Levin, Algebraically closed torsion-free nilpotent groups of class 2, Comm. Algebra 4 (6) (1976), 533-560.

  20. Benjamin Baumslag and Frank Levin, A free product with a non-power amalgamated which is not residually free, Math. Z. 151 (3) (1976), 235-237.

  21. Narain Gupta and Frank Levin, Generating groups of certain product varieties, Arch. Math. (Basel) 30 (2) (1978), 113-117.

  22. Benjamin Baumslag, Narain Gupta and Frank Levin, Residual finiteness of cyclic extensions of certain free products, Bull. Austral. Math. Soc. 19 (2) (1978), 197-203.

  23. Narain Gupta and Frank Levin, Descending chains of nilpotent varieties, Math. Sci. 4 (2) (1979), 109-111.

  24. Benjamin Baumslag and Frank Levin, A class of one-relator groups with torsion, Arch. Math. (Basel) 33 (3) (1979/80), 209-215.

  25. Frank Levin and Gerhard Rosenberger, Generalized power laws, in Burnside groups (Proc. Workshop, Univ. Bielefeld, Bielefeld, 1977), Lecture Notes in Math. 806 (Springer, Berlin, 1980), 246-248.

  26. Narain Gupta and Frank Levin, On soluble Engel groups and Lie algebras, Arch. Math. (Basel) 4 (1980), 289-295.

  27. Donald J Collins and Frank Levin, Automorphisms and Hopficity of certain Baumslag-Solitar groups, Arch. Math. (Basel) 40 (5) (1983), 385-400.

  28. Narain Gupta and Frank Levin, On the Lie ideals of a ring, J. Algebra 81 (1) (1983), 225-231.

  29. Narain Gupta, Ted Hurley and Frank Levin, On the lower central factors of free centre-by-metabelian groups, J. Austral. Math. Soc. Ser. A 38 (1) (1985), 65-75.

  30. Frank Levin and Sudarshan Sehgal, On Lie nilpotent group rings, J. Pure Appl. Algebra 37 (1) (1985), 33-39.

  31. Benjamin Fine, Frank Levin and Gerhard Rosenberger, Free subgroups and decompositions of one-relator products of cyclics. II. Normal torsion-free subgroups and FPA decompositions, J. Indian Math. Soc. (N.S.) 49 (3-4) (1985), 237-247 (1987).

  32. Chander Kanta Gupta and Frank Levin, Dimension subgroups of free center-by-metabelian groups, Illinois J. Math. 30 (2) (1986), 258-273.

  33. Frank Levin and Gerhard Rosenberger, Lie metabelian group rings, in Group and semigroup rings (Johannesburg, 1985), North-Holland Math. Stud., 126 (North-Holland, Amsterdam, 1986), 153-161.

  34. Frank Levin and Gerhard Rosenberger, On power-commutative and commutation-transitive groups, in Proceedings of Groups-St Andrews 1985, London Math. Soc. Lecture Note Ser. 121 (Cambridge Univ. Press, Cambridge, 1986), 249-253.

  35. Chander Kanta Gupta, Narain Gupta and Frank Levin, On dimension subgroups relative to certain product ideals, in Group theory (Bressanone, 1986), Lecture Notes in Math. 1281 (Springer, Berlin, 1987), 31-35.

  36. Benjamin Fine, Frank Levin and Gerhard Rosenberger, Free subgroups and decompositions of one-relator products of cyclics. I, in The Tits alternative, Arch. Math. (Basel) 50 (2) (1988), 97-109.

  37. Frank Levin and Gerhard Rosenberger, A class of SQ-universal groups, in Group theory (Singapore, 1987) (de Gruyter, Berlin, 1989), 409-415.

  38. Chander Kanta Gupta, William Herfort and Frank Levin, The conjugacy problem for centre-by-metabelian groups, Arch. Math. (Basel) 52 (2) (1989), 117-121.

  39. Chander Kanta Gupta, Narain Gupta and Frank Levin, On conjugacy p-separability of free centre-by-metabelian groups, J. Austral. Math. Soc. Ser. A 47 (2) (1989), 334-342.

  40. Chander Kanta Gupta and Frank Levin, Automorphisms of nilpotent-by-abelian groups, Bull. Austral. Math. Soc. 40 (2) (1989), 207-213.

  41. Frank Levin and Gerhard Rosenberger, Generators of finite projective linear groups. II, Results Math. 17 (1-2) (1990), 120-127

  42. Roger M Bryant, Frank Levin, Chander Kanta Gupta and Horace Y Mochizuki, Nontame automorphisms of free nilpotent groups, Comm. Algebra 18 (11) (1990), 3619-3631

  43. Chander Kanta Gupta and Frank Levin, Tame range of automorphism groups of free polynilpotent groups, Comm. Algebra 19 (9) (1991), 2497-2500.

  44. Benjamin Baumslag, Frank Levin and Gerhard Rosenberger, A cyclically pinched product of free groups which is not residually free, Math. Z. 212 (4) (1993), 533-534.

  45. Frank Levin and Gerhard Rosenberger, On free subgroups of generalized triangle groups. II, in Group theory (Granville, OH, 1992) (World Sci. Publ., River Edge, NJ, 1993), 206-228.

  46. Frank Levin and Sudarshan Sehgal, Units of the integral group ring of the infinite dihedral group, in Infinite groups and group rings (Tuscaloosa, AL, 1992), Ser. Algebra 1 (World Sci. Publ., River Edge, NJ, 1993), 57-68.

  47. Frank Levin and Gerhard Rosenberger, On Lie metabelian group rings, Results Math. 26 (1-2) (1994), 83-88.

  48. Frank Levin, Testing for the center of a one-relator group, in The mathematical legacy of Wilhelm Magnus: groups, geometry and special functions (Brooklyn, NY, 1992) (Contemp. Math., 169, Amer. Math. Soc., Providence, RI, 1994), 411-413.

  49. Benjamin Fine, Frank Levin, Frank Roehl and Gerhard Rosenberger, The generalized tetrahedron groups, in Geometric group theory (Columbus, OH, 1992), Ohio State Univ. Math. Res. Inst. Publ. 3 (de Gruyter, Berlin, 1995), 99-119.

  50. Benjamin Fine, Frank Levin and Gerhard Rosenberger, Faithful complex representations of one relator groups, New Zealand J. Math. 26 (1) (1997), 45-52.

  51. Frank Cannonito, Narain Gupta and Frank Levin, Subgroups of finitely presented AN2-groups, Algebra Colloq. 6 (2) (1999), 225-230.

JOC/EFR January 2015

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