A class of finite simple Bol loops of exponent 2
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- by Gábor P. Nagy PDF
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Abstract:
In this paper we give an infinite class of finite simple right Bol loops of exponent 2. The right multiplication group of these loops is an extension of an elementary Abelian $2$-group by $S_5$. The construction uses the description of the structure of such loops given by M. Aschbacher (2005). These results answer some questions of M. Aschbacher.References
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Additional Information
- Gábor P. Nagy
- Affiliation: Bolyai Institute, University of Szeged, Aradi vértanúk tere 1, H-6720 Szeged, Hungary
- Address at time of publication: Mathematisches Institut, Universität Würzburg, Am Hubland, D-97070 Würzburg, Germany
- Email: nagyg@math.u-szeged.hu
- Received by editor(s): July 25, 2007
- Received by editor(s) in revised form: September 19, 2007
- Published electronically: May 28, 2009
- Additional Notes: This paper was written during the author’s Marie Curie Fellowship MEIF-CT-2006-041105.
- © Copyright 2009
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 361 (2009), 5331-5343
- MSC (2000): Primary 20N05; Secondary 20C20, 20F29
- DOI: https://doi.org/10.1090/S0002-9947-09-04646-7
- MathSciNet review: 2515813