Computing skew left braces of small orders

Manoj K. Yadav; Valeriy G. Bardakov; Mikhail V. Neshchadim

doi:10.1142/S0218196720500216

Computing skew left braces of small orders

Manoj K. Yadav, Valeriy G. Bardakov, Mikhail V. Neshchadim

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

3 Цитирования (Scopus)

Аннотация

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.

Язык оригинала	английский
Страницы (с-по)	839-851
Число страниц	13
Журнал	International Journal of Algebra and Computation
Том	30
Номер выпуска	4
DOI	https://doi.org/10.1142/S0218196720500216
Состояние	Опубликовано - 1 июн 2020

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10.1142/S0218196720500216

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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",

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pages = "839--851",

journal = "International Journal of Algebra and Computation",

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

В: International Journal of Algebra and Computation, Том 30, № 4, 01.06.2020, стр. 839-851.

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

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

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U2 - 10.1142/S0218196720500216

DO - 10.1142/S0218196720500216

M3 - Article

AN - SCOPUS:85082521902

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SP - 839

EP - 851

JO - International Journal of Algebra and Computation

JF - International Journal of Algebra and Computation

SN - 0218-1967

IS - 4

ER -

Computing skew left braces of small orders

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