Lie Algebras and Growth in Branch Groups


We compute the structure of the Lie algebra associated to two examples of branch groups, and show that one has finite width while the other has unbounded width. This answers a question by Sidki. We then draw some general results relating the growth of a branch group, of its Lie algebra, of its graded group ring, and of a natural homogeneous space we call… (More)


5 Figures and Tables