In [3] the authors provided a bound for the palindromic width of free abelianby-nilpotent group ANn of rank n and free nilpotent group Nn,r of rank n and step r. In the present paper we study… (More)

Let G be a group. Two elements x, y are said to be z-equivalent if their centralizers are conjugate in G. The class equation of G is the partition of G into conjugacy classes. Further decomposition… (More)

Abstract. Let GL(2, H) be the group of invertible 2 × 2 matrices over the division algebra H of quaternions. GL(2, H) acts on the hyperbolic 5-space as the group of orientation-preserving isometries.… (More)

In this paper we give a finer classification of the dynamical types of the orientation-preserving isometries of the hyperbolic 5-space and characterize them algebraically. We also derive the… (More)

Let M(n) denote the group of orientation-preserving isometries of H. Classically, one uses the disk model for H to define the dynamical type of an isometry. In this model an isometry is elliptic if… (More)

Let F denote either the complex numbers C or the quaternions H. Let Hn F denote the n-dimensional hyperbolic space over F. We obtain algebraic criteria to classify the isometries of Hn F . This… (More)

We present and discuss some open problems formulated by participants of the International Workshop “Knots, Braids, and Automorphism Groups” held in Novosibirsk, 2014. Problems are related to… (More)

Let G be a group. Two elements x, y are said to be in the same z-class if their centralizers are conjugate in G. The conjugacy classes give a partition of G. Further decomposition of the conjugacy… (More)