4 citations · 7 across the 5 of their papers we have counts for
5 papers
No iterated identities satisfied by all finite groups
Anna Erschler, Alexei Kanel-Belov
We show that there is no iterated identity satisfied by all finite groups. For being a non-trivial word of length , we show that there exists a finite group of cardinali…
Normal bases of algebras with low growth
Alexei Belov, Alexandr Chernyatiev
This paper investigates the normal bases of algebras with low growth.
Inverse problems of symbolic dynamics
A. Ya. Belov, G. V. Kondakov, I. Mitrofanov
This paper reviews some results regarding symbolic dynamics, correspondence between languages of dynamical systems and combinatorics. Sturmian sequences provide a pattern for inves…
Subexponential estimations in Shirshov's height theorem
Alexei Belov, Mikhail Kharitonov
In 1993 E. I. Zelmanov asked the following question in Dniester Notebook: "Suppose that F_{2, m} is a 2-generated associative ring with the identity x^m=0. Is it true, that the nil…
Remark to the paper Describing the set of words generated by interval exchange transformation, posted 15 November 2007
A. Ya. Belov, A. L. Chernyat'ev
Let us call subdivision {\it good}, if 1) set corresponding to each symbol is convex (i.e. interval or (semi)closed interval). 2) If points and corresponds to the some colo…