38 citations · 194 across the 17 of their papers we have counts for
4 papers · 1 filter
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…
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…
Isomorphism testing of groups of cube-free order
Heiko Dietrich, James B. Wilson
A group has cube-free order if no prime to the third power divides . We describe an algorithm that given two cube-free groups and of known order, decides whether $…
Polynomial-time isomorphism testing of groups of most finite orders
Heiko Dietrich, James B. Wilson
[PLEASE SEE COMMENT] We consider the isomorphism problem for finite abelian groups and finite meta-cyclic groups. We prove that for a dense set of positive integers , isomorphis…