A Fast Isomorphism Test for Groups Whose Lie Algebra Has Genus 2

Authors

Peter A. Brooksbank, Bucknell UniversityFollow
Joshua Maglione, Colorado State University - Fort CollinsFollow
James B. Wilson, Colorado State University - Fort CollinsFollow

Publication Date

2017

Description

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

Journal of Algebra

Volume

473

First Page

545

Last Page

590

Department

Mathematics

Link to Published Version

http://dx.doi.org/10.1016/j.jalgebra.2016.12.007

DOI

10.1016/j.jalgebra.2016.12.007

Recommended Citation

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.