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arXiv · 1508.03033

A fast isomorphism test for groups of genus 2

Peter A. Brooksbank·Joshua Maglione·James B. Wilson
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Abstract

Motivated by the need for efficient isomorphism tests for finite groups, we present a polynomial-time method for deciding isomorphism within a class of groups that is well-suited to studying local properties of general finite groups. We also report on the performance of an implementation of the algorithm in the computer algebra system {\sc magma}.

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Peter A. Brooksbank, Joshua Maglione, James B. Wilson. 2015-08-12. A fast isomorphism test for groups of genus 2. https://doi.org/10.1016/j.jalgebra.2016.12.007

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