The 2-dimension series of the just-nonsolvable BSV group
Group Theory
2009-11-27 v1
Abstract
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.
Keywords
Cite
@article{arxiv.math/0112109,
title = {The 2-dimension series of the just-nonsolvable BSV group},
author = {Laurent Bartholdi},
journal= {arXiv preprint arXiv:math/0112109},
year = {2009}
}
Comments
Dedicated to Said N. Sidki, born January 23, 1941 in Al Quds (Palestine), for his 60th birthday