On the unit group of Z-orders in finite dimensional algebras
Braids, configuration spaces and applications to multivalued maps
| Full text | |
| Author(s): |
Gagola, III, Stephen M.
;
Grishkov, Alexander N.
Total Authors: 2
|
| Document type: | Journal article |
| Source: | Journal of Group Theory; v. 20, n. 3, p. 561-571, MAY 2017. |
| Web of Science Citations: | 0 |
| Abstract | |
Here cyclic extensions, not necessarily split, of simple groups are looked at. It is shown that if N is a finite simple group that is either an abelian group, an alternating group, a Suzuki group, a projective special linear group or a sporadic simple group and G = < N; u > is a cyclic extension of N resulting in a Moufang loop, then < N; u(2) > is a group. Moreover, if G is nonassociative, then G is a generalization of the Chein loop where u inverts all of the elements of N (AU) | |
| FAPESP's process: | 13/01717-6 - Generalizations of groups and nonassociative structures |
| Grantee: | Alexandre Grichkov |
| Support Opportunities: | Research Grants - Visiting Researcher Grant - International |