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The structure of free automorphic Moufang loops
Authors:
A. Grishkov, P. Plaumann and L. Sabinina
Journal:
Proc. Amer. Math. Soc. 140 (2012), 2209-2214
MSC (2010):
Primary 20N05; Secondary 20C07
Posted:
December 27, 2011
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Abstract: We describe the structure of a free loop of rank  in the variety of automorphic Moufang loops as a subdirect product of a free group and a free commutative Moufang loop, both of rank  . In particular, the variety of automorphic Moufang loops is the join of the variety of groups and the variety of commutative Moufang loops.
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Additional Information
A. Grishkov
Affiliation:
Departamento de Matemática, Universidade de São Paulo, Caixa Postal 66281, São Paulo-SP, 05311-970, Brazil
Email:
grishkov@ime.usp.br
P. Plaumann
Affiliation:
Department Mathematik, Universität Erlangen-Nürnberg, Cauerstrasse 11, D-90158 Erlangen, Germany
Email:
peter.plaumann@mi.uni-erlangen.de
L. Sabinina
Affiliation:
Facultad de Ciencias, Universidad Autónoma del Estado de Morelos, Avenida Universidad 1001, 62209 Cuernavaca, Morelos, Mexico
Email:
liudmila@uaem.mx
DOI:
http://dx.doi.org/10.1090/S0002-9939-2011-11085-2
PII:
S 0002-9939(2011)11085-2
Received by editor(s):
October 30, 2010
Received by editor(s) in revised form:
February 14, 2011
Posted:
December 27, 2011
Communicated by:
Jonathan I. Hall
Article copyright:
© Copyright 2011 American Mathematical Society
The copyright for this article reverts to public domain after
28 years from publication.
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