Zobrazeno 1 - 10
of 68
pro vyhledávání: '"E. I. Timoshenko"'
Autor:
E. I. Timoshenko
Publikováno v:
International Journal of Group Theory, Vol 7, Iss 4, Pp 17-26 (2018)
The Magnus embedding of a free metabelian group induces the embedding of partially commutative metabelian group $S_Gamma$ in a group of matrices $M_Gamma$. Properties and the universal theory of the group $M_Gamma$ are studied.
Externí odkaz:
https://doaj.org/article/69e04dc497f747c4bbc8d3e22993a131
Autor:
E. I. Timoshenko
Publikováno v:
Siberian Mathematical Journal. 64:686-690
Autor:
E. I. Timoshenko
Publikováno v:
Algebra and Logic. 61:328-340
Autor:
E. I. Timoshenko
Publikováno v:
Algebra and Logic. 61:139-152
Autor:
E. I. Timoshenko
Publikováno v:
Sibirskii matematicheskii zhurnal. 62:911-916
Autor:
E. I. Timoshenko
Publikováno v:
Izvestiya: Mathematics. 85:813-822
We find explicitly a basis for the derived group of a partially commutative metabelian group and describe a canonical representation for the elements of the group.
Autor:
E. I. Timoshenko
Publikováno v:
Siberian Mathematical Journal. 62:742-746
Considering the partially commutative groups of varieties which contain the variety of all nilpotent groups of class 2 as well as the variety of all groups, we study the problems of their decomposability into a direct product and a free product (in t
Autor:
E. I. Timoshenko
Publikováno v:
Algebra i logika. 60:81-95
A basis for the commutator subgroup of a partially commutative metabelian pro-p-group is described.
Autor:
E. I. Timoshenko
Publikováno v:
Siberian Mathematical Journal. 62:537-544
We describe retracts in free metabelian groups and obtain some structural results for verbally closed subgroups in free polynilpotent and free metabelian groups.
Autor:
E. I. Timoshenko, V. A. Roman’kov
Publikováno v:
Algebra i logika. 59:367-384
We establish a series of results on verbally closed and l-verbally closed subgroups of free solvable groups; here l is a natural number and the concept of l-verbal closedness is a generalization of the concept of verbal closedness corresponding to th