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Computing skew left braces of small orders. / Yadav, Manoj K.; Bardakov, Valeriy G.; Neshchadim, Mikhail V.

In: International Journal of Algebra and Computation, Vol. 30, No. 4, 01.06.2020, p. 839-851.

Research output: Contribution to journal › Article › peer-review

Harvard

Yadav, MK, Bardakov, VG & Neshchadim, MV 2020, 'Computing skew left braces of small orders', International Journal of Algebra and Computation, vol. 30, no. 4, pp. 839-851. https://doi.org/10.1142/S0218196720500216

APA

Yadav, M. K., Bardakov, V. G., & Neshchadim, M. V. (2020). Computing skew left braces of small orders. International Journal of Algebra and Computation, 30(4), 839-851. https://doi.org/10.1142/S0218196720500216

Vancouver

Yadav MK, Bardakov VG, Neshchadim MV. Computing skew left braces of small orders. International Journal of Algebra and Computation. 2020 Jun 1;30(4):839-851. doi: 10.1142/S0218196720500216

Author

Yadav, Manoj K. ; Bardakov, Valeriy G. ; Neshchadim, Mikhail V. / Computing skew left braces of small orders. In: International Journal of Algebra and Computation. 2020 ; Vol. 30, No. 4. pp. 839-851.

BibTeX

@article{19ffa18a30fa4efd8972a53dce517e60,
title = "Computing skew left braces of small orders",
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.",
keywords = "left braces, regular subgroups, Skew left braces, Yang-Baxter equation, YANG-BAXTER EQUATION, RINGS, SET-THEORETIC SOLUTIONS, CONJECTURE",
author = "Yadav, {Manoj K.} and Bardakov, {Valeriy G.} and Neshchadim, {Mikhail V.}",
year = "2020",
month = jun,
day = "1",
doi = "10.1142/S0218196720500216",
language = "English",
volume = "30",
pages = "839--851",
journal = "International Journal of Algebra and Computation",
issn = "0218-1967",
publisher = "World Scientific Publishing Co. Pte Ltd",
number = "4",

}

RIS

TY - JOUR

T1 - Computing skew left braces of small orders

AU - Yadav, Manoj K.

AU - Bardakov, Valeriy G.

AU - Neshchadim, Mikhail V.

PY - 2020/6/1

Y1 - 2020/6/1

N2 - 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.

AB - 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.

KW - left braces

KW - regular subgroups

KW - Skew left braces

KW - Yang-Baxter equation

KW - YANG-BAXTER EQUATION

KW - RINGS

KW - SET-THEORETIC SOLUTIONS

KW - CONJECTURE

UR - http://www.scopus.com/inward/record.url?scp=85082521902&partnerID=8YFLogxK

U2 - 10.1142/S0218196720500216

DO - 10.1142/S0218196720500216

M3 - Article

AN - SCOPUS:85082521902

VL - 30

SP - 839

EP - 851

JO - International Journal of Algebra and Computation

JF - International Journal of Algebra and Computation

SN - 0218-1967

IS - 4

ER -

ID: 23906265