Geodesic
Free center-by-metabelian groups, Lie algebras, and $\mathscr D$-groups
Izvestiya. Mathematics, Tome 11 (1977) no. 1, pp. 1-30 
Yu. V. Kuz'min. Free center-by-metabelian groups, Lie algebras, and $\mathscr D$-groups. Izvestiya. Mathematics, Tome 11 (1977) no. 1, pp. 1-30. http://geodesic.mathdoc.fr/item/IM2_1977_11_1_a0/
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Voir la notice de l'article provenant de la source Math-Net.Ru

The structure of the free objects indicated in the title is investigated. The proofs of theorems are based on certain facts from homological algebra. Bibliography: 7 titles.

[1] Gupta C. K., “A faithful representation for certain centre-by-metabelian groups”, J. Austral. Math. Soc., 10 (1969), 451–464 | DOI | MR | Zbl

[2] Gupta C. K., “The free centre-by-metabelian groups”, J. Austral. Math. Soc., 16 (1973), 294–300 | DOI | MR

[3] Ridley J. N., “The free centre-by-metabelian group of rank two”, Proc. London Math. Soc. (3), 20 (1970), 321–347 | DOI | MR | Zbl

[4] Bachmuth S., “Automorphisms of free metabelian groups”, Trans. Amer. Math. Soc., 118 (1965), 93–104 | DOI | MR | Zbl

[5] Maklein S., Gomologiya, Mir, M., 1966

[6] Shmelkin A. L., “Spleteniya algebr Li i ikh primenenie v teorii grupp”, Tr. Mosk. matem. ob-va, 29, 1973, 247–260

[7] Kuzmin Yu. V., “Mnogoobrazie metabelevykh $\mathscr{D}$-grupp”, Izv. AN SSSR. Ser. matem., 36 (1972), 765–788 | MR