Parafree one-relator groups

Gilbert Baumslag; Sean Cleary

doi:10.1515/jgt.2006.013

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JOURNAL ARTICLE

Parafree one-relator groups

Gilbert Baumslag Sean Cleary

Year: 2006 Journal: Journal of Group Theory Vol: 9 (2) Publisher: De Gruyter

DOI: 10.1515/jgt.2006.013

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Abstract

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.

Keywords:

Mathematics Quotient Nilpotent Pure mathematics Property (philosophy) Central series Group (periodic table) Nilpotent group Combinatorics Algebra over a field

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Geometric and Algebraic Topology

Physical Sciences → Mathematics → Geometry and Topology

Advanced Combinatorial Mathematics

Physical Sciences → Mathematics → Discrete Mathematics and Combinatorics

Algebraic structures and combinatorial models

Physical Sciences → Mathematics → Geometry and Topology

Parafree one-relator groups

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