Basic commutators
- 8 May 1969
- journal article
- Published by The Royal Society in Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences
- Vol. 264 (1152) , 343-412
- https://doi.org/10.1098/rsta.1969.0032
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.Keywords
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