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

1 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

Доступ к документу

10.1142/S0218196720500216

Link to publication in Scopus

Fingerprint Подробные сведения о темах исследования «Computing skew left braces of small orders». Вместе они формируют уникальный семантический отпечаток (fingerprint).

Цитировать

@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",

}

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 -