Report
Enumeration of left braces with additive group $C_2\times C_2\times C_4\times C_4$
| العنوان: | Enumeration of left braces with additive group $C_2\times C_2\times C_4\times C_4$ |
|---|---|
| المؤلفون: | Ballester-Bolinches, A., Esteban-Romero, R., Pérez-Calabuig, V. |
| سنة النشر: | 2022 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Group Theory, Mathematics - Rings and Algebras, 16T25, 81R50, 20-08 |
| الوصف: | We show that the number of isomorphism classes of left braces of order~$64$ with additive group isomorphic to $C_2\times C_2\times C_4\times C_4$ is $10\,326\,821$. This completes the classification of left braces of order~$64$, that turn out to fall into $15\,095\,601$ isomorphism classes. Comment: Ric. Mat., in press. 9 pages. arXiv admin note: substantial text overlap with arXiv:2210.12823 |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2212.03167 |
| رقم الانضمام: | edsarx.2212.03167 |
| قاعدة البيانات: | arXiv |
| ResultId |
1 |
|---|---|
| Header |
edsarx arXiv edsarx.2212.03167 1050 3 Report report 1049.79345703125 |
| PLink |
https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&scope=site&db=edsarx&AN=edsarx.2212.03167&custid=s6537998&authtype=sso |
| FullText |
Array
(
[Availability] => 0
)
Array ( [0] => Array ( [Url] => http://arxiv.org/abs/2212.03167 [Name] => EDS - Arxiv [Category] => fullText [Text] => View record in Arxiv [MouseOverText] => View record in Arxiv ) ) |
| Items |
Array
(
[Name] => Title
[Label] => Title
[Group] => Ti
[Data] => Enumeration of left braces with additive group $C_2\times C_2\times C_4\times C_4$
)
Array ( [Name] => Author [Label] => Authors [Group] => Au [Data] => <searchLink fieldCode="AR" term="%22Ballester-Bolinches%2C+A%2E%22">Ballester-Bolinches, A.</searchLink><br /><searchLink fieldCode="AR" term="%22Esteban-Romero%2C+R%2E%22">Esteban-Romero, R.</searchLink><br /><searchLink fieldCode="AR" term="%22Pérez-Calabuig%2C+V%2E%22">Pérez-Calabuig, V.</searchLink> ) Array ( [Name] => DatePubCY [Label] => Publication Year [Group] => Date [Data] => 2022 ) Array ( [Name] => Subset [Label] => Collection [Group] => HoldingsInfo [Data] => Mathematics ) Array ( [Name] => Subject [Label] => Subject Terms [Group] => Su [Data] => <searchLink fieldCode="DE" term="%22Mathematics+-+Group+Theory%22">Mathematics - Group Theory</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematics+-+Rings+and+Algebras%22">Mathematics - Rings and Algebras</searchLink><br /><searchLink fieldCode="DE" term="%2216T25%2C+81R50%2C+20-08%22">16T25, 81R50, 20-08</searchLink> ) Array ( [Name] => Abstract [Label] => Description [Group] => Ab [Data] => We show that the number of isomorphism classes of left braces of order~$64$ with additive group isomorphic to $C_2\times C_2\times C_4\times C_4$ is $10\,326\,821$. This completes the classification of left braces of order~$64$, that turn out to fall into $15\,095\,601$ isomorphism classes.<br />Comment: Ric. Mat., in press. 9 pages. arXiv admin note: substantial text overlap with arXiv:2210.12823 ) Array ( [Name] => TypeDocument [Label] => Document Type [Group] => TypDoc [Data] => Working Paper ) Array ( [Name] => URL [Label] => Access URL [Group] => URL [Data] => <link linkTarget="URL" linkTerm="http://arxiv.org/abs/2212.03167" linkWindow="_blank">http://arxiv.org/abs/2212.03167</link> ) Array ( [Name] => AN [Label] => Accession Number [Group] => ID [Data] => edsarx.2212.03167 ) |
| RecordInfo |
Array
(
[BibEntity] => Array
(
[Subjects] => Array
(
[0] => Array
(
[SubjectFull] => Mathematics - Group Theory
[Type] => general
)
[1] => Array
(
[SubjectFull] => Mathematics - Rings and Algebras
[Type] => general
)
[2] => Array
(
[SubjectFull] => 16T25, 81R50, 20-08
[Type] => general
)
)
[Titles] => Array
(
[0] => Array
(
[TitleFull] => Enumeration of left braces with additive group $C_2\times C_2\times C_4\times C_4$
[Type] => main
)
)
)
[BibRelationships] => Array
(
[HasContributorRelationships] => Array
(
[0] => Array
(
[PersonEntity] => Array
(
[Name] => Array
(
[NameFull] => Ballester-Bolinches, A.
)
)
)
[1] => Array
(
[PersonEntity] => Array
(
[Name] => Array
(
[NameFull] => Esteban-Romero, R.
)
)
)
[2] => Array
(
[PersonEntity] => Array
(
[Name] => Array
(
[NameFull] => Pérez-Calabuig, V.
)
)
)
)
[IsPartOfRelationships] => Array
(
[0] => Array
(
[BibEntity] => Array
(
[Dates] => Array
(
[0] => Array
(
[D] => 06
[M] => 12
[Type] => published
[Y] => 2022
)
)
)
)
)
)
)
|
| IllustrationInfo |