Geodesic
SPLITTING AUTOMORPHISMS AND MOUFANG LOOPS
Glasgow mathematical journal, Tome 46 (2004) no. 2, pp. 305-310

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DOI

It is known that the concept of Moufang loops, Moufang 3-nets and groups with triality are strongly related. Due to S. Doro, a group with a splitting automorphism of order 3 can lead to a group with triality. This construction naturally appears in the classification of simple Moufang loops. In this paper, we consider groups with triality related to groups with splitting automorphism. We give a classification of Moufang loops corresponding to this construction.
DOI : 10.1017/S0017089504001788
Mots-clés : 20N05, 20F19 
NAGY, GÁBOR P.; VALSECCHI, MAURIZIO. SPLITTING AUTOMORPHISMS AND MOUFANG LOOPS. Glasgow mathematical journal, Tome 46 (2004) no. 2, pp. 305-310. doi: 10.1017/S0017089504001788
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     title = {SPLITTING {AUTOMORPHISMS} {AND} {MOUFANG} {LOOPS}},
     journal = {Glasgow mathematical journal},
     pages = {305--310},
     year = {2004},
     volume = {46},
     number = {2},
     doi = {10.1017/S0017089504001788},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089504001788/}
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