Hyperbolic lattices are a new form of synthetic quantum matter in which particles effectively
hop on a discrete tessellation of two-dimensional (2D) hyperbolic space, a non-Euclidean …

The origins of computation group theory (CGT) date back to the late 19th and early 20th
centuries. Since then, the field has flourished, particularly during the past 30 to 40 years, and …

Motivated by the recent experimental realizations of hyperbolic lattices in circuit quantum
electrodynamics and in classical electric-circuit networks, we study flat bands and band …

Recall that the distance of a vertex u from a vertex v in the graph X is the length of a shortest
path between u and v. Similarly, if e=(vl, v2) is an edge of X, we define the distance of a …

1 11.; in fact the method can be reduced to a purely mechanical process, which becomes a
useful tool with a wide range of application. we venture to predict that our.... method will …

Given positive integers k, l, m, the (k, l, m) triangle group has presentation δ (k, l, m)=< X, Y,
Z| Xk= Yl= Zm= XYZ= 1>. This paper considers finite permutation representations of such …

Group theorists have been attempting to construct algorithms for working with groups, both
finite and infinite, for many years. It turns out that in order to solve a problem about a given …

The low-index subgroups procedure is an algorithm for finding all subgroups of up to a given
index in a finitely presented group $ G $ and hence for determining all transitive permutation …

It is well known that various compact 3-manifolds of small volume can be constructed via the
determination of torsion-free subgroups of minimum possible index in certain rank 4 string …

Дается обзор работ по следующим темам: комбинаторная теория групп, многообразия
групп, периодические группы, разрешимые группы, финитно-аппроксимируемые группы …