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Free products and residual nilpotency
Published online by Cambridge University Press: 17 April 2009
Abstract
Let G be the free product of groups Gα, [Gα] the cartesian subgroup of G and k [Gα] the intersection of [G] with the k–th term of the lower central series for G. Then the k[Gα] form a descending chain of subgroups of ] and it is shown that if the intersection of all the subgroups in this chain is trivial then G and hence each Gα, is residually nilpotent. This answers a question of S. Moran.
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- Copyright © Australian Mathematical Society 1969
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