9 citations · 19 across the 6 of their papers we have counts for
8 papers · 1 filter
Translation lengths of outer automorphisms of finitely generated free-by-finite groups
Ioannis Papavasileiou, Mihalis Sykiotis
Bestvina, Feighn and Handel proved that every subgroup of the outer automorphism group, , of the free group of rank is either virtually finitely generated ab…
On the intersection of tame subgroups in groups acting on trees
Konstantinos Lentzos, Mihalis Sykiotis
Let be a group acting on a tree with finite edge stabilizers of bounded order. We provide, in some very interesting cases, upper bounds for the complexity of the intersecti…
Complexity volumes of splittable groups
Mihalis Sykiotis
Using graph of groups decompositions of finitely generated groups, we define Euler characteristic type invariants which are non-zero in many interesting classes of finitely present…
Finiteness results for subgroups of finite extensions
Vitor Araujo, Pedro V. Silva, Mihalis Sykiotis
We discuss in the context of finite extensions two classical theorems of Takahasi and Howson on subgroups of free groups. We provide bounds for the rank of the intersection of subg…
On the quasiconvexity of the fixed subgroup of endomorphisms of relatively hyperbolic groups
V. Metaftsis, M. Sykiotis
We prove that for any finitely generated relatively hyperbolic group G and any symmetric endomorphism f of G with relatively quasiconvex image, Fixf is relatively quasiconvex subgr…
Fixed points of endomorphisms of graph groups
Emanuele Rodaro, Pedro V. Silva, Mihalis Sykiotis
It is shown, for a given graph group , that the fixed point subgroup Fix is finitely generated for every endomorphism of if and only if is a free product of fre…