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Finite-by-nilpotent groups

  • P. Hall (a1)

1. Introduction. 1·1. Notation. Let


be, respectively, the upper and lower central series of a group G. By definition, Zi+1/Zi is the centre of G/Zi and Γj+1 = [Γj, G] is the commutator subgroup of Γj with G. When necessary for clearness, we write ZiG) for Zi and Γj(G) for Γj.

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(1)Baer, R.Trans. Amer. Math. Soc. 58 (1945), 295419.
(2)Baer, R.Math. Ann. 124 (1952), 161–77.
(3)Zassenhaus, H.Lehrbuch der Gruppentheorie (Leipzig and Berlin, 1937).
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Mathematical Proceedings of the Cambridge Philosophical Society
  • ISSN: 0305-0041
  • EISSN: 1469-8064
  • URL: /core/journals/mathematical-proceedings-of-the-cambridge-philosophical-society
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