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SUMMARY:Dafni Tsipa (University of the Aegean)
DTSTART:20260326T143000Z
DTEND:20260326T153000Z
DTSTAMP:20260423T021340Z
UID:GANT/82
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GANT/82/">Re
 sidual properties of Generalized Baumslag-Solitar groups</a>\nby Dafni Tsi
 pa (University of the Aegean) as part of Greek Algebra & Number Theory Sem
 inar\n\n\nAbstract\nFor a group G let γω(G) denote the intersection of t
 he lower central series and (Np)ω(G) denote the intersection of all subgr
 oups whose index is a power of a prime p. The group G is residually nilpot
 ent if and only if  γω(G) is trivial while G is a residually finite p-gr
 oup if and only if (Np)ω(G) is trivial.  Thus\, the groups γω(G) and (N
 p)ω(G) describe how far G is from being residually nilpotent and being a 
 residually finite p-group respectively. In this talk we will describe the 
 Generalized Baumslag-Solitar groups (GBS groups) which are fundamental gro
 ups of graphs of groups with infinite cyclic vertex and edge groups and th
 en we will compute the intersections γω(G) and (Np)ω(G) in the case whe
 re the underlying graph is a tree. The results presented are based on join
 t work with V. Metaftsis.\n
LOCATION:https://researchseminars.org/talk/GANT/82/
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