Commutators as powers in free products of groups
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- by Leo P. Comerford, Charles C. Edmunds and Gerhard Rosenberger PDF
- Proc. Amer. Math. Soc. 122 (1994), 47-52 Request permission
Abstract:
The ways in which a nontrivial commutator can be a proper power in a free product of groups are identified.References
- Roger C. Lyndon and Paul E. Schupp, Combinatorial group theory, Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 89, Springer-Verlag, Berlin-New York, 1977. MR 0577064
- Marcel-Paul Schützenberger, Sur l’équation $a^{2+n}=b^{2+m}c^{2+p}$ dans un groupe libre, C. R. Acad. Sci. Paris 248 (1959), 2435–2436 (French). MR 103219
- N. J. Wicks, Commutators in free products, J. London Math. Soc. 37 (1962), 433–444. MR 142610, DOI 10.1112/jlms/s1-37.1.433
Additional Information
- © Copyright 1994 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 122 (1994), 47-52
- MSC: Primary 20E06
- DOI: https://doi.org/10.1090/S0002-9939-1994-1221722-6
- MathSciNet review: 1221722