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On the residual nilpotence of some varietal products. (English) Zbl 0118.03501


Keywords:

group theory
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[1] S. Moran, Associative operations on groups. I, Proc. London Math. Soc. (3) 6 (1956), 581 – 596. · Zbl 0073.01202 · doi:10.1112/plms/s3-6.4.581
[2] Hanna Neumann, On varieties of groups and their associated near-rings, Math. Z. 65 (1956), 36 – 69. · Zbl 0070.01905 · doi:10.1007/BF01473869
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[4] Rimhak Ree, Commutator groups of free products of torsion-free abelian groups, Ann. of Math. (2) 66 (1957), 380 – 394. · Zbl 0080.01802 · doi:10.2307/1970003
[5] A. I. Mal\(^{\prime}\)cev, Nilpotent torsion-free groups, Izvestiya Akad. Nauk. SSSR. Ser. Mat. 13 (1949), 201 – 212 (Russian).
[6] Gilbert Baumslag, Some subgroup theorems for free \?-groups, Trans. Amer. Math. Soc. 108 (1963), 516 – 525. · Zbl 0121.03003
[7] A. G. Kurosh, The theory of groups, Chelsea, New York, 1955. (English transl.) · Zbl 0068.26104
[8] L. Fuchs, Abelian groups, Publishing House of the Hungarian Academy of Sciences, Budapest, 1958. · Zbl 0091.02704
[9] P. Hall, The splitting properties of relatively free groups, Proc. London Math. Soc. (3) 4 (1954), 343 – 356. · Zbl 0055.25201 · doi:10.1112/plms/s3-4.1.343
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