A new method for recognising Suzuki groups

2017/06/18 by John N. Bray, Henrik Bäärnhielm · 1 citation
Mathematics · #Algebra over a field #Arithmetic #Computer science #Constructive #Discrete logarithm #Finite Group Theory Research #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Las vegas #Logarithm #Magma #Mathematics #Oracle #Polynomial #Programming language #Public-key cryptography #Pure mathematics

paper · pdf · doi:10.1016/j.jalgebra.2017.05.040

openalex publication_date 2017/07/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We present a new algorithm for constructive recognition of the Suzuki groups in their natural representations. The algorithm runs in Las Vegas polynomial time given a discrete logarithm oracle. An implementation is available in the Magma computer algebra system.

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• Black Box Recognition of the Suzuki groups

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