Basic commutators-Reference-Cited by-同舟云学术

Basic commutators

Published:1969-05-08 Issue:1152 Volume:264 Page:343-412
ISSN:0080-4614
Container-title:Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences
language:en
Short-container-title:Phil. Trans. R. Soc. Lond. A

Author:

Abstract

A theory of basic commutators is developed here which applies to polynilpotent series and related subgroups of a free group in much the same way as the conventional theory applies to the lower central series. The intention is to provide a theory of general application, however in §§ 17 and 19 new group-theoretic theorems are proved which involve the entire theory and illustrate its uses.

Publisher

The Royal Society

Subject

General Engineering

Link

https://royalsocietypublishing.org/doi/pdf/10.1098/rsta.1969.0032

Reference11 articles.

1. Baumslag G. 1963 W reath products and extensions. M ath . 81 286-299.

2. Cohn P. M. 1965 U niversal algebra. New York: H arper and Row.

3. Gorcakov Yu. M. 1967 M ultinil'potentnye gruppy. i L o g . S em inar 6 part 3 25-30.

4. A basis for free Lie rings and higher commutators in free groups. A m . M a th;Hall M.;Soc.,1950

5. A contribution to the theory of groups of prime-power order. L on d. M a th;Hall P.;Soc,1934

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