Quasi-isometrically embedded subgroups of braid and diffeomorphism groups

It is known that a fundamental group of a graph of groups, whose vertex groups are all finite p-groups is residually p-finite if and only if it is an extension of a free group by

Thus, as an immediate consequence of Theorem 2.4.2, we have that a fundamental group of a graph of groups whose vertex groups are all finite p-groups is conjugacy p-separable if

Abstract We prove that the conjugacy problem in right-angled Artin groups (RAAGs), as well as in a large and natural class of subgroups of RAAGs, can be solved in linear-time..

We classify the (finite and infinite) virtually cyclic subgroups of the pure braid groups P n p R P 2 q of the projective plane.. Braid groups of surfaces were studied by

Van Buskirk, The Word problem and consequences for the braid groups and mapping class groups of the 2-sphere, Trans. Gonz´ alez-Meneses, New presentations of surface braid

Therefore, Artin and, more generally, Wada representations do not seem to be a useful tool to obtain interesting linear representations for welded braid groups, at least in

These groups are subgroups of punctured mapping class groups of closed surfaces and are related to the study of link theory in a closed 3-manifold.. In this paper we define and study

However, many natural questions about word reversing remain open, even in the basic case of the standard presentation of Artin’s braid group B n. There are two types of word