The 2-dimension series of the just-nonsolvable BSV group

Details The 2-dimension series of the just-nonsolvable BSV group The 2-dimension series of the just-nonsolvable BSV group

2001-12-12

arxiv.org/abs/math/0112109v1

New Zealand J. Math. 33 (2004), no. 1, 17--23

Mathematics

Group Theory

Dedicated to Said N. Sidki, born January 23, 1941 in Al Quds (Palestine), for his 60th birthday

Scientific paper

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.

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