| Full text | |
| Author(s): |
Grishkov, Alexander N.
;
Zavarnitsine, Andrei, V
Total Authors: 2
|
| Document type: | Journal article |
| Source: | MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY; v. 170, n. 3, p. 6-pg., 2021-05-01. |
| Abstract | |
We construct two infinite series of Moufang loops of exponent 3 whose commutative centre (i. e. the set of elements that commute with all elements of the loop) is not a normal subloop. In particular, we obtain examples of such loops of orders 3(8) and 3(11) one of which can be defined as the Moufang triplication of the free Burnside group B(3, 3). (AU) | |
| FAPESP's process: | 17/14489-2 - Loops de Moufang Loops and related groups |
| Grantee: | Alexandre Grichkov |
| Support Opportunities: | Research Grants - Visiting Researcher Grant - International |