4 papers
On the ranks of string C-group representations for symplectic and orthogonal groups
Peter A. Brooksbank
We determine the ranks of string C-group representations of the groups , and comment on those of higher-dimensional symplectic and…
Incorporating Weisfeiler-Leman into algorithms for group isomorphism
Peter A. Brooksbank, Joshua A. Grochow, Yinan Li +2
In this paper we combine many of the standard and more recent algebraic techniques for testing isomorphism of finite groups (GpI) with combinatorial techniques that have typically…
Rank reduction of string C-group representations
Peter A. Brooksbank, Dimitri Leemans
We show that a rank reduction technique for string C-group representations first used for the symmetric groups generalizes to arbitrary settings. The technique permits us, among ot…
Exact sequences of inner automorphisms of tensors
Peter A. Brooksbank, Joshua Maglione, James B. Wilson
We produce a long exact sequence whose terms are unit groups of associative algebras that behave as inner automorphisms of a given tensor. Our sequence generalizes known sequences…