Pacific Journal of Mathematics

Intersections of terms of polycentral series of free groups and free Lie algebras.

T. C. Hurley

Article information

Source
Pacific J. Math., Volume 82, Number 1 (1979), 105-116.

Dates
First available in Project Euclid: 8 December 2004

Permanent link to this document
https://projecteuclid.org/euclid.pjm/1102785064

Mathematical Reviews number (MathSciNet)
MR549836

Zentralblatt MATH identifier
0426.20019

Subjects
Primary: 20F14: Derived series, central series, and generalizations
Secondary: 17B40: Automorphisms, derivations, other operators

Citation

Hurley, T. C. Intersections of terms of polycentral series of free groups and free Lie algebras. Pacific J. Math. 82 (1979), no. 1, 105--116. https://projecteuclid.org/euclid.pjm/1102785064


Export citation

References

  • [1] K. W. Gruenberg, Residualproperties of infinitesoluble groups, Proc. London Math. Soc,(3)7 (1957), 29-62.
  • [2] M. Hall, The Theory of Groups, Macmillan, NewYork, 1959. 3% 9foe EdmontonNotes on NilpotentGroups, Queen Mary College Lecture Notes, London,1969.
  • [4] W. Magnus, A. Karrass andD. Solitar, Combinatorial Group Theory, Interscience, New York-London-Sydney, 1966.
  • [5] A. L. Smelkin, Free Polynilpotent Groups, Izv. Akad. Nauk SSSR Ser. Mat., 28 (1964), 91-122; English transl., Amer. Math. Soc.TransL, (2) 55 (1966), 270-304.
  • [6] M.A. Ward, Basic Commutators, Phil. Trans. Royal Soc.of London, Ser, A, 264 (1969), 343-412.

See also

  • II : T. C. Hurley. Intersections of terms of polycentral series of free groups and free Lie algebras. II. Pacific Journal of Mathematics volume 96, issue 1, (1981), pp. 111-114.