Let G be a group and H a polycyclic subgroup of G. If G is union of a finite number of double cosets of H, it is an open question whether H is necessarily of finite index in G. The aim of this paper is to show that this is true if G is residually finite or hyperabelian or linear of word hyperbolic.
Gruppi che sono unione di un numero finito di laterali doppi.
JABARA, Enrico
2006-01-01
Abstract
Let G be a group and H a polycyclic subgroup of G. If G is union of a finite number of double cosets of H, it is an open question whether H is necessarily of finite index in G. The aim of this paper is to show that this is true if G is residually finite or hyperabelian or linear of word hyperbolic.File in questo prodotto:
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