6533b7d6fe1ef96bd1266752
RESEARCH PRODUCT
On the WGSC Property in Some Classes of Groups
Francesco G. RussoDaniele Ettore Oterasubject
Combinatoricsalmost-convex groupsProperty (philosophy)Tucker propertySimple (abstract algebra)Solvable groupGeneral MathematicsFiltration (mathematics)FC-groups and nilpotent groupSettore MAT/03 - Geometriaweak geometric simple connectivityMathematicsdescription
The property of quasi-simple filtration (or qsf) for groups has been introduced in literature more than 10 years ago by S. Brick. This is equivalent, for groups, to the weak geometric simple connectivity (or wgsc). The main interest of these notions is that there is still not known whether all finitely presented groups are wgsc (qsf) or not. The present note deals with the wgsc property for solvable groups and generalized FC-groups. Moreover, a relation between the almost-convexity condition and the Tucker property, which is related to the wgsc property, has been considered for 3-manifold groups.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2009-11-14 | Mediterranean Journal of Mathematics |