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Length functions arising from a group action on an \(\mathbb{R}\)-tree. (English) Zbl 0824.20030

A criterion is established for the equivalence of two abstract Lyndon functions on a group \(G\) acting on an \(\mathbb{R}\)-tree.

MSC:

20E08 Groups acting on trees
20F65 Geometric group theory
05C25 Graphs and abstract algebra (groups, rings, fields, etc.)
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References:

[1] Alperin R., Combinatorial group theory and topology pp 265– (1987)
[2] DOI: 10.1017/S0305004100053093 · Zbl 0351.20024 · doi:10.1017/S0305004100053093
[3] DOI: 10.1112/plms/s3-55.3.571 · Zbl 0658.20021 · doi:10.1112/plms/s3-55.3.571
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[5] DOI: 10.1112/jlms/s2-22.3.439 · Zbl 0448.20037 · doi:10.1112/jlms/s2-22.3.439
[6] DOI: 10.1307/mmj/1029003688 · Zbl 0663.20040 · doi:10.1307/mmj/1029003688
[7] DOI: 10.1307/mmj/1029003951 · Zbl 0692.20017 · doi:10.1307/mmj/1029003951
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[9] DOI: 10.1112/S0025579300006847 · Zbl 0794.20039 · doi:10.1112/S0025579300006847
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