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math.GR2009
Abelian state-closed subgroups of automorphisms of m-ary trees
Andrew M. Brunner, Said N. Sidki
The group A_{m} of automophisms of a one-rooted m-ary tree admits a diagonal monomorphism which we denote by x. Let A be an abelian state-closed (or self-similar) subgroup of A_{m}…
math.GR2007
On Commutativity and Finiteness in Groups
Ricardo N. Oliveira, Said N. Sidki
The second author introduced notions of weak permutability and commutativity between groups and proved the finiteness of a group generated by two weakly permutable finite groups. T…
math.GR2006
Virtual Endomorphisms of Nilpotent Groups
Adilson Berlatto, Said Sidki
A virtual endomorphism of a group G is a homomorphism f from H into G where H is a subgroup of G of finite index m. The triple (G,H,f) produces a state-closed (or, self-similar) re…