All $p$-local finite groups of rank two for odd prime $p$
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- by Antonio Díaz, Albert Ruiz and Antonio Viruel PDF
- Trans. Amer. Math. Soc. 359 (2007), 1725-1764 Request permission
Abstract:
In this paper we give a classification of the rank two $p$-local finite groups for odd $p$. This study requires the analysis of the possible saturated fusion systems in terms of the outer automorphism group of the possible $\mathcal {F}$-radical subgroups. Also, for each case in the classification, either we give a finite group with the corresponding fusion system or we check that it corresponds to an exotic $p$-local finite group, getting some new examples of these for $p=3$.References
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Additional Information
- Antonio Díaz
- Affiliation: Departamento de Álgebra, Geometría y Topología, Universidad de Málaga, Apdo correos 59, 29080 Málaga, Spain
- Address at time of publication: Department of Mathematical Sciences, King’s College, University of Aberdeen, Aberdeen AB24 3UE, United Kingdom
- Email: adiaz@agt.cie.uma.es, a.diaz@maths.abdn.ac.uk
- Albert Ruiz
- Affiliation: Departament de Matemàtiques, Universitat Autònoma de Barcelona, 08193 Cerdanyola del Vallès, Spain
- Email: Albert.Ruiz@uab.es
- Antonio Viruel
- Affiliation: Departamento de Álgebra, Geometría y Topología, Universidad de Málaga, Apdo correos 59, 29080 Málaga, Spain
- MR Author ID: 630145
- ORCID: 0000-0002-1605-5845
- Email: viruel@agt.cie.uma.es
- Received by editor(s): January 25, 2005
- Published electronically: November 22, 2006
- Additional Notes: The first author was partially supported by MCED grant AP2001-2484
The second author was partially supported by MEC grant MTM2004-06686
The first and third authors were partially supported by MEC grant MTM2004-06262 and CEC-JA grant FQM213 - © Copyright 2006 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 359 (2007), 1725-1764
- MSC (2000): Primary 55R35, 20D20
- DOI: https://doi.org/10.1090/S0002-9947-06-04367-4
- MathSciNet review: 2272147