Title

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

Publication Date

2017

Journal

Journal of Algebra

Volume

473

First Page

545

Last Page

590

Department

Mathematics

Abstract

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.

DOI

10.1016/j.jalgebra.2016.12.007

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