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Intersections of Magnus subgroups and embedding theorems for cyclically presented groups

Martin Edjvet·James Howie
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Abstract

A Magnus subgroup of a one-relator group is the free subgroup freely generated by a proper subset of the generators. Two such subgroups can intersect in the obvious way or in a larger, exceptional way. The condition of non-exceptional intersection of Magnus subgroups of a one-relator group is applied to give criteria for the resulting cyclically presented groups to contain nonabelian free subgroups.

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Martin Edjvet, James Howie. 2006-09-05. Intersections of Magnus subgroups and embedding theorems for cyclically presented groups. https://arxiv.org/abs/math/0609147

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