Geodesic
Magnus intersections of one-relator free products with small cancellation conditions
Arye Juhász1
1Technion - Israel Institute of Technology, Haifa, Israel
Groups, geometry, and dynamics, Tome 1 (2007) no. 4, pp. 525-552

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DOI

Donald Collins initiated the study of intersections of Magnus subgroups in one-relator groups. In particular, he characterized those intersections of Magnus subgroups that are not Magnus subgroups. In the present work we show that Collins’ results extend to one-relator quotients of free products of groups with a small cancellation condition and give a complete list of those defining relators for which Magnus subgroups do not intersect in a Magnus subgroup. We use van Kampen diagrams and word combinatorics.
DOI : 10.4171/ggd/23
Classification : 20-XX, 00-XX
Mots-clés : One-relator free products, small cancellation theory, word-combinatorics, Magnus subgroups

Arye Juhász  1

1 Technion - Israel Institute of Technology, Haifa, Israel 
Arye Juhász. Magnus intersections of one-relator free products with small cancellation conditions. Groups, geometry, and dynamics, Tome 1 (2007) no. 4, pp. 525-552. doi: 10.4171/ggd/23
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