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Left braces of size 8p.

Authors :
Crespo, Teresa
Gil-Muñoz, Daniel
Rio, Anna
Vela, Montserrat
Source :
Journal of Algebra. Mar2023, Vol. 617, p317-339. 23p.
Publication Year :
2023

Abstract

We describe all left braces of size 8 p for an odd prime p ≠ 3 , 7 and validate the number given by Bardakov, Neschadim and Yadav in [2]. We give a characterization for isomorphism classes of a semidirect product of left braces and then the description is done by first describing left braces of size 8, as conjugacy classes of regular subgroups of the corresponding holomorph, and then checking how many non isomorphic left braces of size 8 p are obtained from each one of them. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*ISOMORPHISM (Mathematics)

Details

Language :
English
ISSN :
00218693
Volume :
617
Database :
Academic Search Index
Journal :
Journal of Algebra
Publication Type :
Academic Journal
Accession number :
160864680
Full Text :
https://doi.org/10.1016/j.jalgebra.2022.11.011