Abstract
Let F be a free product of nontrivial groups Ai, i ∈ I, and a free group G, and let N be a normal subgroup of F such that N ∩ Ai = 1, i ∈ I. We establish necessary and sufficient conditions for a given element of the group F/[N,N] to belong to the subgroup generated by a given set of elements of F/[N,N] and necessary and sufficient conditions for a given finite set of elements of F/[N,N] to be a set of generators of F/[N,N]. Similar results are obtained for Lie algebras. Bibliography: 10 titles.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
