Some Braces of Cardinality $p^{4}$ and Related Hopf-Galois Extensions

Autor:	Puljić, D., Smoktunowicz, A., Zenouz, K. Nejabati
Rok vydání:	2021
Předmět:	Mathematics - Rings and Algebras Mathematics - Group Theory Mathematics - Quantum Algebra
Druh dokumentu:	Working Paper
Popis:	We describe all $\mathbb F_{p}$-braces of cardinality $p^{4}$ which are not right nilpotent. Our solution illustrates a general way of investigating $\mathbb F_{p}$-braces of cardinality $p^{n}$ with a given multiplicative group. The constructed braces are left nilpotent, solvable and prime, and they also contain a non-zero strongly nilpotent ideal.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2106.13735 Zobrazit plný text záznamu View this record from Arxiv