In this paper we prove that all pure Artin braid groups P_n P n (n ≥ 3 n≥ 3) have the R_ ∞
R∞ property. In order to obtain this result, we analyse the naturally induced morphism …

We give a complete classification of homomorphisms from the braid group on $ n $ strands
to the braid group on $2 n $ strands when $ n $ is at least 5. We also classify …

The twin group T n is a right angled Coxeter group generated by n− 1 involutions and having
only far commutativity relations. These groups can be thought of as planar analogues of …

We examine the Moore complex of the Delta-group structure related to the pure braid groups
and introduced by Berrick, Cohen, Wong, and Wu. We prove that the cycle and the boundary …

Generalising previous results on classical braid groups by Artin and Lin, we determine the
values of m, n∈ for which there exists a surjection between the n-and m-string braid groups …

The homotopy groups are used in algebraic topology to classify spaces. Unlike homology
groups, which are also topological invariants, the homotopy groups are unexpectedly …

Résumé L'étude des groupes de tresses et des groupes de réflexions complexes a débuté
au XXe siècle et se poursuit de nos jours. A priori purement abstraites, ces notions ont …

Video library: D. Aksenova, Автоморфизм моноида струнных зацеплений Videolibrary
RUS ENG JOURNALS PEOPLE ORGANISATIONS CONFERENCES SEMINARS VIDEO …

Доклад посвящен исследованию моноидов $ StL_n $ изотопических классов струнных
зацеплений с $ n $ нитями и содержащихся в них групп крашеных кос $ P_n …