On the Andreadakis equality for a subgroup of the McCool group
arXiv:1902.10033
Abstract
The McCool group has families of subgroups such as the ordinary pure braid group, the upper triangular McCool group and the partial inner automorphism group. The generalized Andreadakis conjecture holds for the ordinary pure braid group and the upper triangular McCool group. In this paper, we prove a similar result for the partial inner automorphism group and also establish an isomorphism between this group and the inner automorphism group of the upper triangular McCool group.
arXiv comment17 pages
References in corpus (4)
- Cohomological Aspects of Magnus Expansions
- Basis-conjugating automorphisms of a free group and associated Lie algebras
- Infinite generation of the kernels of the Magnus and Burau representations
- The structure of the group of conjugating automorphisms and the linear representation of the braid groups of some manifolds