Enumeration of nilpotent loops up to isotopy

Commentationes mathematicae Universitatis Carolinae

Lucien Clavier¹ 

关键词: loop;    nilpotent;    enumeration;    cohomology;    isomorphy;    isotopy;   

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 】

We modify tools introduced in [Daly D., Vojt\v echovsk\'y P., {\it Enumeration of nilpotent loops via cohomology\/}, J. Algebra {\bf 322} (2009), no.~11, 4080--4098] to count, for any odd prime~$q$, the number of nilpotent loops of order $2q$ up to isotopy, instead of isomorphy.

【 授权许可】

CC BY