We describe a doubling construction that gives many new examples of groups that satisfy a quadratic isoperimetric inequality. Using this construction, we prove that the presence of a quadratic isoperimetric inequality does not constrain the higher finiteness properties of a group (in contrast to the sub-quadratic case). © 1999 Academic Press
AbstractThe isoperimetric profile of a discrete group was introduced by Vershik, however it is well ...
If F is a finitely generated free group and \phi is an automorphism of F then the mapping torus of \...
AbstractWe use quasi-retractions to show that the finiteness conditions Fn and FPn are invariant und...
AbstractWe describe a doubling construction that gives many new examples of groups that satisfy a qu...
To each finitely generated group $G$, we associate a quasi-isometric invariant called the isoperimet...
It is shown that D. Cohen's inequality bounding the isoperimetric function of a group by the double ...
The idea of applying isoperimetric functions to group theory is due to M. Gromov [8]. We introduce t...
Let Γ be a finitely presented group. We consider the relationship between the complexity of the word...
We consider amalgamations of finitely generated nilpotent groups of class c. We show that doubles sa...
If F is a finitely generated free group and \phi is an automorphism of F then F \rtimes_\phi Z satis...
AbstractWe show that a polynomial isoperimetric inequality is true in ‘almost every group’, in some ...
We prove that every finitely generated nilpotent group of class c admits a polynomial isoperimetric ...
. We show that the Heisenberg groups H 2n+1 of dimension five and higher, considered as Riemannia...
If F is a finitely generated free group and ϕ is an automorphism of F then the mapping torus of ϕ ad...
ABSTRACT. In this paper we show that the groups of automorphisms and outer automorphisms of a finite...
AbstractThe isoperimetric profile of a discrete group was introduced by Vershik, however it is well ...
If F is a finitely generated free group and \phi is an automorphism of F then the mapping torus of \...
AbstractWe use quasi-retractions to show that the finiteness conditions Fn and FPn are invariant und...
AbstractWe describe a doubling construction that gives many new examples of groups that satisfy a qu...
To each finitely generated group $G$, we associate a quasi-isometric invariant called the isoperimet...
It is shown that D. Cohen's inequality bounding the isoperimetric function of a group by the double ...
The idea of applying isoperimetric functions to group theory is due to M. Gromov [8]. We introduce t...
Let Γ be a finitely presented group. We consider the relationship between the complexity of the word...
We consider amalgamations of finitely generated nilpotent groups of class c. We show that doubles sa...
If F is a finitely generated free group and \phi is an automorphism of F then F \rtimes_\phi Z satis...
AbstractWe show that a polynomial isoperimetric inequality is true in ‘almost every group’, in some ...
We prove that every finitely generated nilpotent group of class c admits a polynomial isoperimetric ...
. We show that the Heisenberg groups H 2n+1 of dimension five and higher, considered as Riemannia...
If F is a finitely generated free group and ϕ is an automorphism of F then the mapping torus of ϕ ad...
ABSTRACT. In this paper we show that the groups of automorphisms and outer automorphisms of a finite...
AbstractThe isoperimetric profile of a discrete group was introduced by Vershik, however it is well ...
If F is a finitely generated free group and \phi is an automorphism of F then the mapping torus of \...
AbstractWe use quasi-retractions to show that the finiteness conditions Fn and FPn are invariant und...
DOI
Add to ORKG