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Finite-by-nilpotent groups

Published online by Cambridge University Press:  24 October 2008

P. Hall
P. Hall
Affiliation:
King's College Cambridge
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Extract

1. Introduction. 1·1. Notation. Let

and

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.

Information

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 52 , Issue 4 , October 1956 , pp. 611 - 616
Copyright
Copyright © Cambridge Philosophical Society 1956

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References

REFERENCES

(1) Baer, R. Trans. Amer. Math. Soc. 58 (1945), 295–419.Google Scholar
(2) Baer, R. Math. Ann. 124 (1952), 161–77.Google Scholar
(3) Zassenhaus, H. Lehrbuch der Gruppentheorie (Leipzig and Berlin, 1937).Google Scholar