Geodesic
On Magnus groups
Sbornik. Mathematics, Tome 21 (1973) no. 2, pp. 207-220
Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

In this paper we consider groups of the form $F/V(N)$, where $V(N)$ is a verbal subgroup of a normal divisor $N$ of a group $F$, and $F$ is either free or the free product of certain groups. In the latter case we assume that $N$ is contained in the Cartesian subgroup. We prove that the factors of the lower central series of $F/V(N)$ are torsion-free or even free Abelian if the corresponding property is possessed by the factors of the lower central series of $F/N$ and $N/V(N)$. Bibliography: 7 titles. 
@article{SM_1973_21_2_a2,
     author = {D. I. \`Eidel'kind},
     title = {On~Magnus groups},
     journal = {Sbornik. Mathematics},
     pages = {207--220},
     year = {1973},
     volume = {21},
     number = {2},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1973_21_2_a2/}
}
TY  - JOUR
AU  - D. I. Èidel'kind
TI  - On Magnus groups
JO  - Sbornik. Mathematics
PY  - 1973
SP  - 207
EP  - 220
VL  - 21
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/SM_1973_21_2_a2/
LA  - en
ID  - SM_1973_21_2_a2
ER  - 
%0 Journal Article
%A D. I. Èidel'kind
%T On Magnus groups
%J Sbornik. Mathematics
%D 1973
%P 207-220
%V 21
%N 2
%U http://geodesic.mathdoc.fr/item/SM_1973_21_2_a2/
%G en
%F SM_1973_21_2_a2
D. I. Èidel'kind. On Magnus groups. Sbornik. Mathematics, Tome 21 (1973) no. 2, pp. 207-220. http://geodesic.mathdoc.fr/item/SM_1973_21_2_a2/

[1] D. I. Eidelkind, “Verbalnye proizvedeniya grupp Magnusa”, Matem. sb., 85 (127) (1971), 504–526 | MR

[2] A. L. Shmelkin, “Spleteniya algebr Li i ikh primenenie v teorii grupp”, Trudy Mosk. matem. ob-va, XVI (1972)

[3] K. K. Andreev, “Nilpotentnye gruppy i lievy algebry, I”, Algebra i logika, 7:4 (1968), 4–14 | MR | Zbl

[4] K. K. Andreev, “Nilpotentnye gruppy i lievy algebry, II”, Algebra i logika, 8:6 (1969), 625–635 | MR | Zbl

[5] G. P. Kukin, “O dekartovoi podalgebre svobodnoi lievoi summy algebr Li”, Algebra i logika, 9:6 (1970), 701–713 | MR | Zbl

[6] A. I. Shirshov, “Podalgebry svobodnykh algebr Li”, Matem. sb., 33 (75) (1953), 441–452 | Zbl

[7] E. Witt, “Die Unterringe der freien Lieschen Ringe”, Math. Z., 64 (1956), 195–216 | DOI | MR | Zbl