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Gilbert Baumslag, Sean Cleary

Parafree one-relator groups

Parafree groups are groups that are residually nilpotent and have the property that their quotients by the terms of the lower central series are isomorphic to the corresponding quotients of a free group. We introduce three new families of non-free parafree groups and discuss limitations to a natural procedure for distinguishing these groups from each other.

Journal of Group Theory, Walter de Gruyter

Print ISSN: 1433-5883
Volume: 9, 03/2006
Pages: 191 - 201

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