Residual nilpotence and relations in free groups
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- by Gilbert Baumslag and Arthur Steinberg PDF
- Bull. Amer. Math. Soc. 70 (1964), 283-284
References
- Gilbert Baumslag, On a problem of Lyndon, J. London Math. Soc. 35 (1960), 30–32. MR 111780, DOI 10.1112/jlms/s1-35.1.30
- Gilbert Baumslag, On generalised free products, Math. Z. 78 (1962), 423–438. MR 140562, DOI 10.1007/BF01195185
- Gilbert Baumslag, Some aspects of groups with unique roots, Acta Math. 104 (1960), 217–303. MR 122859, DOI 10.1007/BF02546390
- Gilbert Baumslag, Some remarks on nilpotent groups with roots, Proc. Amer. Math. Soc. 12 (1961), 262–267. MR 123609, DOI 10.1090/S0002-9939-1961-0123609-7
- K. W. Gruenberg, Residual properties of infinite soluble groups, Proc. London Math. Soc. (3) 7 (1957), 29–62. MR 87652, DOI 10.1112/plms/s3-7.1.29
- A. Karrass, W. Magnus, and D. Solitar, Elements of finite order in groups with a single defining relation, Comm. Pure Appl. Math. 13 (1960), 57–66. MR 124384, DOI 10.1002/cpa.3160130107
- R. C. Lyndon, The equation $a^{2}b^{2}=c^{2}$ in free groups, Michigan Math. J. 6 (1959), 89–95. MR 103218, DOI 10.1307/mmj/1028998143
- R. C. Lyndon and M. P. Schützenberger, The equation $a^{M}=b^{N}c^{P}$ in a free group, Michigan Math. J. 9 (1962), 289–298. MR 162838 9. W. Magnus, Ueber diskontinuierliche Gruppen mit einer definierenden Relation (Der Freiheitssatz), J. Reine Angew. Math. 163 (1930), 141-165.
- Eugene Schenkman, The equation $a^{n}b^{n}=c^{n}$ in a free group, Ann. of Math. (2) 70 (1959), 562–564. MR 104723, DOI 10.2307/1970329
- 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 12. John Stallings, On certain relations in free groups, Notices Amer. Math. Soc. 6 (1959), 532. 13. Arthur Steinberg, Ph.D. thesis, New York University, 1962.
Additional Information
- Journal: Bull. Amer. Math. Soc. 70 (1964), 283-284
- DOI: https://doi.org/10.1090/S0002-9904-1964-11123-X
- MathSciNet review: 0158001