  I compute the structure of the restricted 2-algebra associated to a group
first described by Andrew Brunner, Said Sidki and Ana Cristina Vieira, acting
on the binary rooted tree. I show that its width is unbounded, growing
logarithmically, and obeys a simple rule. As a consequence, the dimension of
the successive quotients of powers of the augmentation ideal in the modular
group algebra is p(0)+...+p(n), the count of partitions of numbers up to n.
