3 papers
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.RA2008
Functionally recursive rings of matrices-Two examples
Said N. Sidki
We define the notions of finite-state and functionally recursive matrices and their growth. We also introduce two rings generated by functionally recursive matrices. The first is i…
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…