Intersections of Magnus subgroups and embedding theorems for cyclically presented groups

Details Intersections of Magnus subgroups and embedding theorems for cyclically presented groups Intersections of Magnus subgroups and embedding theorems for cyclically presented groups

2006-09-05

arxiv.org/abs/math/0609147v1

J. Pure Appl. Algebra 212 (2008), 47--52

Mathematics

Group Theory

8 pages

Scientific paper

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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