On commutative loops of order pq with metacyclic inner mapping group and trivial center

Commentationes mathematicae Universitatis Carolinae

Přemysl Jedlička¹ 

关键词: commutative loops;    construction of loops;    matrices over finite fields;    quadratic extensions;   

DOI  :  

学科分类：物理化学和理论化学

来源: Univerzita Karlova v Praze * Matematicko-Fyzikalni Fakulta / Charles University in Prague, Faculty of Mathematics and Physics

【 摘 要 】

Using a construction of commutative loops with metacyclic inner mapping group and trivial center described by A. Drápal, we enumerate presumably all such loops of order pq, for p and q primes.

【 授权许可】

CC BY