A Fast Isomorphism Test for Groups Whose Lie Algebra Has Genus 2
Journal of Algebra
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.
Brooksbank, Peter A.; Maglione, Joshua; and Wilson, James B.. "A Fast Isomorphism Test for Groups Whose Lie Algebra Has Genus 2." Journal of Algebra 473, (2017) : 545-590.