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Steiner Loops Satisfying the Statement of Moufang's Theorem
- Publication Year :
- 2015
-
Abstract
- Andrew Rajah posed at the Loops'11 Conference in Trest, Czech Republic, the following conjecture: Is every variety of loops that satisfies Moufang's theorem contained in the variety of Moufang loops? This paper is motivated by that problem. We give a partial answer to this question and present two types of Steiner loops, one that satisfies Moufang's theorem and another that does not, and neither is Moufang loop.
- Subjects :
- Mathematics - Group Theory
20N05
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1509.06364
- Document Type :
- Working Paper