The structure of free automorphic Moufang loops
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- by A. Grishkov, P. Plaumann and L. Sabinina PDF
- Proc. Amer. Math. Soc. 140 (2012), 2209-2214 Request permission
Abstract:
We describe the structure of a free loop of rank $n$ in the variety of automorphic Moufang loops as a subdirect product of a free group and a free commutative Moufang loop, both of rank $n$. In particular, the variety of automorphic Moufang loops is the join of the variety of groups and the variety of commutative Moufang loops.References
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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
- Received by editor(s): October 30, 2010
- Received by editor(s) in revised form: February 14, 2011
- Published electronically: December 27, 2011
- Communicated by: Jonathan I. Hall
- © Copyright 2011
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 140 (2012), 2209-2214
- MSC (2010): Primary 20N05; Secondary 20C07
- DOI: https://doi.org/10.1090/S0002-9939-2011-11085-2
- MathSciNet review: 2898684