Burnside Groups and Groups Acting on Rooted Trees
Branch groups stem from one of the most influential problems in group theory: The famous Burnside Problem, which arose in 1902 and asks if a finitely generated torsion group, i.e. in which every element has finite order, can be itself infinite. Now branch groups are groups acting on rooted trees, that have a rich tree-like subgroup structure. There are many examples of branch groups with remarkabl
