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SPLITTING AUTOMORPHISMS AND MOUFANG LOOPS

Published online by Cambridge University Press:  19 May 2004

GÁBOR P. NAGY  and
MAURIZIO VALSECCHI
GÁBOR P. NAGY
Affiliation:
Bolyai Institute, University of Szeged, Aradi vértanúk tere 1, H-6720 Szeged, Hungary e-mail: [email protected] URL: http://www.math.u-szeged.hu/\~{}nagyg/
MAURIZIO VALSECCHI
Affiliation:
Mathematisches Institut, Universität Erlangen-Nürnberg, Bismarckstr. 1½, D-91054 Erlangen, Germany e-mail: [email protected]
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Abstract

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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.

Keywords

20N0520F19
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 46 , Issue 2 , May 2004 , pp. 305 - 310
Copyright
2004 Glasgow Mathematical Journal Trust