Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4654781 | European Journal of Combinatorics | 2008 | 20 Pages |
Abstract
In 2004, Csörgő constructed a loop of nilpotency class three with abelian group of inner mappings. As of now, no other examples are known. We construct many such loops from groups of nilpotency class two by replacing the product xyxy with xyhxyh in certain positions, where hh is a central involution. The location of the replacements is ultimately governed by a symmetric trilinear alternating form.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Aleš Drápal, Petr Vojtěchovský,