38 citations · 194 across the 17 of their papers we have counts for
22 papers
Group isomorphism is nearly-linear time for most orders
Heiko Dietrich, James B. Wilson
We show that there is a dense set $\ourset\subseteq \mathbb{N}$ of group orders and a constant such that for every $n\in \ourset$ we can decide in time wheth…
Subgroups of simple groups are as diverse as possible
Martin Kassabov, Brady A. Tyburski, James B. Wilson
For a finite group , let be the number of subgroups of and the number of isomorphism types of subgroups of . Let denote a simple group of Lie…
Tensor Isomorphism by conjugacy of Lie algebras
Peter A. Brooksbank, Joshua Maglione, James B. Wilson
We introduce an algorithm to decide isomorphism between tensors. The algorithm uses the Lie algebra of derivations of a tensor to compress the space in which the search takes place…
A spectral theory for transverse tensor operators
Uriya First, Joshua Maglione, James B. Wilson
Tensors are multiway arrays of data, and transverse operators are the operators that change the frame of reference. We develop the spectral theory of transverse tensor operators an…
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…
A Frobenius-Schreier-Sims Algorithm to tensor decompose algebras
Ian Holm Kessler, Henry Kvinge, James B. Wilson
We introduce a decomposition of associative algebras into a tensor product of cyclic modules. This produces a means to encode a basis with logarithmic information and thus extends…