Computing skew left braces of small orders-Reference-Cited by-同舟云学术

Computing skew left braces of small orders

Published:2020-03-10 Issue:04 Volume:30 Page:839-851
ISSN:0218-1967
Container-title:International Journal of Algebra and Computation
language:en
Short-container-title:Int. J. Algebra Comput.

Author:

Bardakov Valeriy G.¹²,Neshchadim Mikhail V.¹,Yadav Manoj K.³

Affiliation:

1. Sobolev Institute of Mathematics and Novosibirsk State University, Novosibirsk 630090, Russia

2. Novosibirsk State Agrarian University, Dobrolyubova Street, 160, Novosibirsk 630039, Russia

3. Harish-Chandra Research Institute, HBNI, Chhatnag Road, Jhunsi, Allahabad-211 019, India

Abstract

We improve Algorithm 5.1 of [Math. Comp. 86 (2017) 2519–2534] for computing all nonisomorphic skew left braces, and enumerate left braces and skew left braces of orders up to 868 with some exceptions. Using the enumerated data, we state some conjectures for further research.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218196720500216

Reference18 articles.

1. Counterexample to a conjecture about braces

2. Iterated matched products of finite braces and simplicity; new solutions of the Yang-Baxter equation

3. The Magma Algebra System I: The User Language

4. Involutive Yang-Baxter groups

Cited by 15 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Relative Rota–Baxter groups and skew left braces;Forum Mathematicum;2024-06-26

2. Inducing braces and Hopf Galois structures;Journal of Pure and Applied Algebra;2023-09

3. Isoclinism of skew braces;Bulletin of the London Mathematical Society;2023-08-04

4. Enumeration of left braces with additive group ₄×₄×₄;Mathematics of Computation;2023-06-30

5. Enumeration of left braces with additive group $$C_2\times C_2\times C_4\times C_4$$;Ricerche di Matematica;2023-04-20