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

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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