Remote Access Transactions of the American Mathematical Society
Green Open Access

Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 
 

 

A subgroup theorem for free nilpotent groups


Author: S. Moran
Journal: Trans. Amer. Math. Soc. 103 (1962), 495-515
MSC: Primary 20.40
DOI: https://doi.org/10.1090/S0002-9947-1962-0155886-6
Erratum: Trans. Amer. Math. Soc. 112 (1964), 79-83.
MathSciNet review: 0155886
Full-text PDF

References | Similar Articles | Additional Information

References [Enhancements On Off] (What's this?)

  • [1] N. P. Goldina, Free nilpotent groups, Dokl. Akad. Nauk SSSR 111 (1956), 528-530; corrigenda, 126 (1959), 694. MR 0085256 (19:13a)
  • [2] N. P. Goldina and O. N. Golovin, Subgroups of free metabelian groups. Mat. Sb. (79) 37 (1955), 323-336. MR 0072134 (17:234b)
  • [3] M. Hall, A basis for free Lie rings and higher commutators in free groups, Proc. Amer. Math. Soc. 1 (1950), 575-581. MR 0038336 (12:388a)
  • [4] P. Hall, A contribution to the theory of groups of prime power order, Proc. London Math. Soc. 36 (1934), 29-95.
  • [5] -, Some word-problems, J. London Math. Soc. 33 (1958), 482-496. MR 0102540 (21:1331)
  • [6] A. G. Kuroš, Theory of groups, 2d ed., Chelsea, New York, 1955. MR 0059266 (15:501b)
  • [7] M. Lazard, Sur les groupes nilpotents et les anneaux de Lie, Ann. Sci. École Norm. Sup. (3) 71 (1954), 101-190. MR 0088496 (19:529b)
  • [8] A. I. Mal'cev, Two remarks on nilpotent groups, Mat. Sb. (79) 37 (1955), 567-572. MR 0072875 (17:345b)
  • [9] S. Moran, Associative operations on groups. I, Proc. London Math. Soc. (3) 6 (1956), 581-596. MR 0097439 (20:3908)
  • [10] -, Unrestricted verbal products, J. London Math. Soc. 36 (1961), 1-23. MR 0171830 (30:2057)
  • [11] -, Unrestricted nilpotent products, Acta Mathematica (to appear).
  • [12] A. W. Mostowski, Nilpotent free groups, Fund. Math. 49 (1961), 259-269. MR 0146259 (26:3781)
  • [13] A. I. Širšov, Subalgebras of free Lie algebras, Mat. Sb. (75) 33 (1953), 441-452. MR 0059892 (15:596d)
  • [14] E. Witt, Treue Darstellung Liescher Ringe, J. Reine Angew. Math. 177 (1937), 152-160.

Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 20.40

Retrieve articles in all journals with MSC: 20.40


Additional Information

DOI: https://doi.org/10.1090/S0002-9947-1962-0155886-6
Article copyright: © Copyright 1962 American Mathematical Society

American Mathematical Society