On the residual nilpotence of some varietal products
HTML articles powered by AMS MathViewer
- by Gilbert Baumslag
- Trans. Amer. Math. Soc. 109 (1963), 357-365
- DOI: https://doi.org/10.1090/S0002-9947-1963-0155888-0
- PDF | Request permission
References
- S. Moran, Associative operations on groups. I, Proc. London Math. Soc. (3) 6 (1956), 581–596. MR 97439, DOI 10.1112/plms/s3-6.4.581
- Hanna Neumann, On varieties of groups and their associated near-rings, Math. Z. 65 (1956), 36–69. MR 78374, DOI 10.1007/BF01473869
- 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
- Rimhak Ree, Commutator groups of free products of torsion-free abelian groups, Ann. of Math. (2) 66 (1957), 380–394. MR 90592, DOI 10.2307/1970003
- A. I. Mal′cev, Nilpotent torsion-free groups, Izv. Akad. Nauk SSSR Ser. Mat. 13 (1949), 201–212 (Russian). MR 0028843
- Gilbert Baumslag, Some subgroup theorems for free ${\mathfrak {v}}$-groups, Trans. Amer. Math. Soc. 108 (1963), 516–525. MR 154919, DOI 10.1090/S0002-9947-1963-0154919-1 A. G. Kurosh, The theory of groups, Chelsea, New York, 1955. (English transl.)
- L. Fuchs, Abelian groups, Publishing House of the Hungarian Academy of Sciences, Budapest, 1958. MR 0106942
- P. Hall, The splitting properties of relatively free groups, Proc. London Math. Soc. (3) 4 (1954), 343–356. MR 64046, DOI 10.1112/plms/s3-4.1.343
Bibliographic Information
- © Copyright 1963 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 109 (1963), 357-365
- MSC: Primary 20.52
- DOI: https://doi.org/10.1090/S0002-9947-1963-0155888-0
- MathSciNet review: 0155888