Intersections of Magnus subgroups and embedding theorems for cyclically presented groups
Group Theory
2010-12-14 v1
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.
Keywords
Cite
@article{arxiv.math/0609147,
title = {Intersections of Magnus subgroups and embedding theorems for cyclically presented groups},
author = {Martin Edjvet and James Howie},
journal= {arXiv preprint arXiv:math/0609147},
year = {2010}
}
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8 pages