In this paper we first show that many braid groups of low genus surfaces have their centers as direct factors. We then give a description of centralizers and normalizers of prime order elements in pure mapping class groups of surfaces with spherical quotients using automorphism groups of fundamental groups of the quotient surfaces. As an application, we use these to show that the p–primary part of the Farrell cohomology groups of certain mapping class groups are elementary abelian groups. At the end we compute the p–primary part of the Farrell cohomology of a few pure mapping class groups. 20F36, 20J06
We state a conjecture about centralizers of certain roots of central elements in braid groups, and c...
Dehn twists around simple closed curves in oriented surfaces satisfy the braid relations. This gives...
Dehn twists around simple closed curves in oriented surfaces satisfy the braid relations. This gives...
In this paper we first show that many braid groups of low genus surfaces have their centers as direc...
Abstract. In this paper we first show that many braid groups of low genus surfaces have their center...
In this paper we first show that many braid groups of low genus surfaces have their centers as direc...
Let F be a finite subgroup of the mapping class group of a closed surface S of genus greater than...
Abstract. The disjoint union of mapping class groups of surfaces forms a braided monoidal category M...
AbstractThe mapping class group of a closed orientable surface of genus g, denoted Γg, is defined as...
47 pages, 5 figuresInternational audienceWe give a survey of the theory of surface braid groups and ...
AbstractWe consider algebraic and topological generalisations of braid groups and pure braid groups,...
In this paper, we compute the automorphism groups Aut(Pn(Σ)) and Aut(Bn(Σ)) of braid groups Pn(Σ) an...
International audienceIn this paper, we make use of the relations between the braid and mapping clas...
47 pages, 5 figuresInternational audienceWe give a survey of the theory of surface braid groups and ...
We state a conjecture about centralizers of certain roots of central elements in braid groups, and c...
We state a conjecture about centralizers of certain roots of central elements in braid groups, and c...
Dehn twists around simple closed curves in oriented surfaces satisfy the braid relations. This gives...
Dehn twists around simple closed curves in oriented surfaces satisfy the braid relations. This gives...
In this paper we first show that many braid groups of low genus surfaces have their centers as direc...
Abstract. In this paper we first show that many braid groups of low genus surfaces have their center...
In this paper we first show that many braid groups of low genus surfaces have their centers as direc...
Let F be a finite subgroup of the mapping class group of a closed surface S of genus greater than...
Abstract. The disjoint union of mapping class groups of surfaces forms a braided monoidal category M...
AbstractThe mapping class group of a closed orientable surface of genus g, denoted Γg, is defined as...
47 pages, 5 figuresInternational audienceWe give a survey of the theory of surface braid groups and ...
AbstractWe consider algebraic and topological generalisations of braid groups and pure braid groups,...
In this paper, we compute the automorphism groups Aut(Pn(Σ)) and Aut(Bn(Σ)) of braid groups Pn(Σ) an...
International audienceIn this paper, we make use of the relations between the braid and mapping clas...
47 pages, 5 figuresInternational audienceWe give a survey of the theory of surface braid groups and ...
We state a conjecture about centralizers of certain roots of central elements in braid groups, and c...
We state a conjecture about centralizers of certain roots of central elements in braid groups, and c...
Dehn twists around simple closed curves in oriented surfaces satisfy the braid relations. This gives...
Dehn twists around simple closed curves in oriented surfaces satisfy the braid relations. This gives...