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Original Articles

Relatively Free Nilpotent Torsion-Free Groups and Their Lie Algebras

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Pages 843-880 | Received 10 Aug 2009, Published online: 16 Mar 2011

REFERENCES

  • Amayo , R. K. , Stewart , I. ( 1974 ). Infinite-Dimensional Lie Algebras . Leyden : Noordhoff International Publishing .
  • Andreev , K. K. ( 1968 ). Nilpotent groups and Lie algebras . Algebra i Logika 7 : 4 – 14 .
  • Bahturin , Yu. A. ( 1985 ). Identical Relations in Lie Algebras . Moscow : Nauka, (Russian) .
  • Baumslag , G. ( 1971 ). Lectures notes on nilpotent groups. C.B.M.S. Regional Conference Series 2, American Mathematical Society, Providence .
  • Bridson , M. R. , Haefliger , A. ( 1999 ). Metric Spaces of Non-Positive Curvature . Berlin : Springer-Verlag. Die Grundlehren der mathematischen Wissenschaften, Band 319 .
  • Bryant , R. M. , Groves , J. R. J. ( 1986 ). Algebraic groups of automorphisms of nilpotent groups and Lie algebras . J. London Math. Soc. 33 : 453 – 466 .
  • Farb , B. , Mosher , L. ( 2000 ). Problems on the geometry of finitely generated solvable groups . In: Crystallographic Groups and Their Generalizations (Kortrijk, 1999). Contemp. Math. Vol. 262 , Providence , RI : Amer. Math. Soc. , pp. 121 – 134 .
  • Hirsch , K. A. ( 1938 ). Infinite soluble groups II . Proc. London Math. Soc. 44 : 336 – 365 .
  • Huppert , B. , Blackburn , N. ( 1982 ). Finite Groups II . Berlin-New York : Springer .
  • Jacobson , N. ( 1962 ). Lie Algebras . New York : Wiley .
  • Jennings , S. A. ( 1955 ). The group ring of a class of infinite nilpotent groups . Canad. J. Math. 7 : 169 – 187 .
  • Kofinas , C. E. , Papistas , A. I. (2010). Automorphisms of relatively free nilpotent Lie algebras. Commun. Algebra 38:1575–1593.
  • Kurosh , A. G. ( 1956 ). The Theory of Groups . Vol. II , Chelsea .
  • Lück , W. ( 2008 ). Survey on geometric group theory . Münster J. Math. 1 : 73 – 108 .
  • Magnus , W. , Karrass , A. , Solitar , D. ( 1966 ). Combinatorial Group Theory . New York : Wiley .
  • Neumann , H. ( 1967 ). Varieties of Groups . Ergebnisse der mathematik and ihner Grenzgebiete, band 37. New York : Springer-Verlag .
  • Pansu , P. ( 1989 ). Métrique de Carnot-Carathéodory et quasiisometries des espaces symétrique de rang un . Ann. Math. 129 : 1 – 60 .
  • Segal , D. ( 1983 ). Polycyclic Groups . Cambridge : Cambridge University Press .
  • Shmel'kin , A. L. ( 1964 ). Free poly-nilpotent groups . Izv. Akad. Nauk SSSR, Ser. Mat. 28 : 91 – 122 .
  • Communicated by I. Shestakov.

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