4 citations · 9 across the 6 of their papers we have counts for
6 papers · 1 filter
Undecidability of the submonoid membership problem for a sufficiently large finite direct power of the Heisenberg group
Vitaly Roman'kov
The submonoid membership problem for a finitely generated group is the decision problem, where for a given finitely generated submonoid of and a group element it is…
Embedding theorems for solvable groups
Vitaly Roman'kov
In this paper, we prove a series of results on group embeddings in groups with a small number of generators. We show that each finitely generated group lying in a variety ${\ma…
The stabilizer of a column in a matrix group over a polynomial ring
Vitaly Roman'kov
An original non-standard approach to describing the structure of a column stabilizer in a group of matrices over a polynomial ring or a Laurent polynomial ring of …
A general encryption scheme using two-sided multiplications with its cryptanalysis
V. A. Roman'kov
We show that many known schemes of the public key exchange protocols in the algebraic cryptography, that use two-sided multiplications, are the specific cases of the general scheme…
The twisted conjugacy problem for pairs of endomorphisms in nilpotent groups
V. Roman'kov, E. Ventura
An algorithm is constructed that, when given an explicit presentation of a finitely generated nilpotent group decides for any pair of endomorphisms and any pai…
On the Reidemeister spectrum and the property for some free nilpotent groups
E. G. Kukina, V. Roman'kov
We describe the Reidemeister spectrum for the free nilpotent group of rank and class in the cases: and and…