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On Nilpotent Products of Cyclic Groups—Reexamined by the Commutator Calculus

Published online by Cambridge University Press:  20 November 2018

Hermann V. Waldinger  and
Anthony M. Gaglione
Hermann V. Waldinger
Affiliation:
Polytechnic Institute of New York, Brooklyn, New York
Anthony M. Gaglione
Affiliation:
City College of the City University of New York, New York, New York
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Ruth R. Struik investigated the nilpotent group , where G is a free product of a finite number of cyclic groups, not all of which are of infinite order, and Gm is the mth subgroup of the lower central series of G. Making use of the “collection process” first given by Philip Hall in [8], she determined completely for 1 ≦ n ≦ p + 1, where p is the smallest prime with the property that it divides the order of at least one of the free factors of G. However, she was unable to proceed beyond n = p + 1.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 27 , Issue 6 , 01 December 1975 , pp. 1185 - 1210
Copyright
Copyright © Canadian Mathematical Society 1975

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