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Generation of the lower central series

Published online by Cambridge University Press:  18 May 2009

Robert M. Guralnick
Affiliation:
University of Southern California, Los Angeles, California 90007
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Let G be a group. The rth term LrG of the lower central series of G is the subgroup generated by the r-fold commutators

where , and for r > 1,

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Type
Research Article
Copyright
Copyright © Glasgow Mathematical Journal Trust 1982