Add to ORKGAbstract. The following problem that was posed by Grothendieck: Let u W H! G be a homomorphism of nitely presented residually nite groups for which the extension Ou W yH! yG is an isomorphism. Is u an isomorphism? The problem was solved in the negative by Bridson and Grunewald who produced many examples of groups G and proper subgroups u W H,! G for which Ou is an isomorphism, but u is not. This paper addresses Grothendieck’s problem in the context of 3-manifold groups. Mathematics Subject Classication (2010). 20E18, 57M10
Isomorphisms that preserve a certain geometric structure are easily destroyed by an arbitrary small ...
In group theory, understanding properties of groups is essential. However, in some circumstances det...
We show how the third integral homology of a group plays a role in determining whether a given group...
Abstract. In 1970 Alexander Grothendieck [6] posed the following problem: let Γ1 and Γ2 be finitely ...
In 1970 Alexander Grothendieck [6] posed the following problem: let Γ1 and Γ2 be finitely presented,...
In 1970 Alexander Grothendieck [6] posed the following problem: let Γ1 and Γ2 be finitely presented,...
Abstract. In this work we ask when a group is a 3-manifold group, or more specifically, when does a ...
The profinite completion of a group Γ is the inverse limit of the directed system of finite quotient...
The profinite completion of a group Γ is the inverse limit of the directed system of finite quotient...
The profinite completion of a group Γ is the inverse limit of the directed system of finite quotient...
We prove that for every countable group G there exists a hyperbolic 3-manifold M such that the isome...
15 pages v2: corrected the history of Grothendieck's problemWe show that fundamental groups of compa...
Gruppen kann man durch Präsentationen darstellen. Die Frage, ob zwei Präsentationen isomorphe Gruppe...
15 pages v2: corrected the history of Grothendieck's problemInternational audienceWe show that funda...
The Farrell-Jones isomorphism conjecture for 3-manifold groups by S.K. ROUSHON We show that the Fibe...
Isomorphisms that preserve a certain geometric structure are easily destroyed by an arbitrary small ...
In group theory, understanding properties of groups is essential. However, in some circumstances det...
We show how the third integral homology of a group plays a role in determining whether a given group...
Abstract. In 1970 Alexander Grothendieck [6] posed the following problem: let Γ1 and Γ2 be finitely ...
In 1970 Alexander Grothendieck [6] posed the following problem: let Γ1 and Γ2 be finitely presented,...
In 1970 Alexander Grothendieck [6] posed the following problem: let Γ1 and Γ2 be finitely presented,...
Abstract. In this work we ask when a group is a 3-manifold group, or more specifically, when does a ...
The profinite completion of a group Γ is the inverse limit of the directed system of finite quotient...
The profinite completion of a group Γ is the inverse limit of the directed system of finite quotient...
The profinite completion of a group Γ is the inverse limit of the directed system of finite quotient...
We prove that for every countable group G there exists a hyperbolic 3-manifold M such that the isome...
15 pages v2: corrected the history of Grothendieck's problemWe show that fundamental groups of compa...
Gruppen kann man durch Präsentationen darstellen. Die Frage, ob zwei Präsentationen isomorphe Gruppe...
15 pages v2: corrected the history of Grothendieck's problemInternational audienceWe show that funda...
The Farrell-Jones isomorphism conjecture for 3-manifold groups by S.K. ROUSHON We show that the Fibe...
Isomorphisms that preserve a certain geometric structure are easily destroyed by an arbitrary small ...
In group theory, understanding properties of groups is essential. However, in some circumstances det...
We show how the third integral homology of a group plays a role in determining whether a given group...