On centerless commutative automorphic loops
Commentationes Mathematicae Universitatis Carolinae, Tome 55 (2014) no. 4, pp. 485-491
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In this short paper, we survey the results on commutative automorphic loops and give a new construction method. Using this method, we present new classes of commutative automorphic loops of exponent $2$ with trivial center.
Classification :
20N05
Keywords: commutative automorphic loop; Lie algebra of characteristic $2$; nuclear extension
Keywords: commutative automorphic loop; Lie algebra of characteristic $2$; nuclear extension
@article{CMUC_2014__55_4_a4,
author = {Nagy, G\'abor P.},
title = {On centerless commutative automorphic loops},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {485--491},
publisher = {mathdoc},
volume = {55},
number = {4},
year = {2014},
mrnumber = {3269010},
zbl = {06391556},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_2014__55_4_a4/}
}
Nagy, Gábor P. On centerless commutative automorphic loops. Commentationes Mathematicae Universitatis Carolinae, Tome 55 (2014) no. 4, pp. 485-491. http://geodesic.mathdoc.fr/item/CMUC_2014__55_4_a4/