A Fast Isomorphism Test for Groups Whose Lie Algebra Has Genus 2
Motivated by the desire for better isomorphism tests for finite groups, we present a polynomial-time algorithm for deciding isomorphism within a class of p-groups that is well-suited to studying local properties of general groups. We also report on the performance of an implementation of the algorithm in the computer algebra system MAGMA.
Journal of Algebra
Brooksbank, Peter A.; Maglione, Joshua; and Wilson, James B.. "A Fast Isomorphism Test for Groups Whose Lie Algebra Has Genus 2." Journal of Algebra (2017) : 545-590.