We study a class M of cyclically presented groups that includes both finite and infinite groups
and is defined by a certain combinatorial condition on the defining relations. This class …

The concept of asphericity for relative group presentations was introduced twenty five years
ago. Since then, the subject has advanced and detailed asphericity classifications have …

We consider the cyclically presented groups defined by cyclic presentations with $2 m $
generators $ x_i $ whose relators are the $2 m $ positive length three relators $ x_ix_ {i+ 1} …

We consider groups defined by cyclic presentations where the defining word has length 3
and the cyclic presentation satisfies the T. 6/small cancellation condition. We classify when …

We investigate the Tits alternative for cyclically presented groups with length-four positive
relators in terms of a system of congruences (A),(B),(C) in the defining parameters …

We consider two families of cyclic presentations and show that, subject to certain conditions
on the defining parameters, they are spines of closed 3-manifolds. For the first family, the …

We study the shift dynamics of the groups G= G n⁢(x 0⁢ xm⁢ xk-1) of Fibonacci type
introduced by Johnson and Mawdesley. The main result concerns the order of the shift …

We classify cyclically presented groups of the form G= G n⁢(x 0⁢ xj⁢ xk⁢ xl) for finiteness
and, modulo two unresolved cases, we classify asphericity for the underlying presentations …

A group G admitting a cyclic presentation P= P n (w) determines E= G⋊ θ C n called the shift
extension of G. A spherical picture over a presentation for E lifts to one over P, and here it is …

В работе устанавливается связь между группами с циклическим представлением и
косетной конструкцией $ n $-значных групп. В отличие от однозначных групп, проблема …