A cohomological characterization of nilpotent fusion systems
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- by Antonio Díaz Ramos, Arturo Espinosa Baro and Antonio Viruel PDF
- Proc. Amer. Math. Soc. 146 (2018), 1447-1450 Request permission
Abstract:
We provide a nilpotency criterion for fusion systems in terms of the vanishing of its cohomology with twisted coefficients.References
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Additional Information
- Antonio Díaz Ramos
- Affiliation: Departamento de Álgebra, Geometría y Topología, Universidad de Málaga, Apdo correos 59, 29080 Málaga, Spain
- MR Author ID: 802558
- Email: adiazramos@uma.es
- Arturo Espinosa Baro
- Affiliation: Faculty of Mathematics and Computer Science, Adam Mickiewicz University, Umultowska 87, 61-614 Poznan, Poland
- Email: arturo.espinosabaro@gmail.com
- 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@uma.es
- Received by editor(s): March 31, 2017
- Received by editor(s) in revised form: May 24, 2017
- Published electronically: November 10, 2017
- Additional Notes: The authors were partially supported by MEC grants MTM2013-41768-P and MTM2016-78647-P and Junta de Andalucía grant FQM-213.
The second author was supported by Polish National Science Centre grant 2016/21/P/ST1/03460 within the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie grant agreement No. 665778. - Communicated by: Michael A. Mandell
- © Copyright 2017 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 146 (2018), 1447-1450
- MSC (2010): Primary 20D15, 20D20, 55N25, 55R40
- DOI: https://doi.org/10.1090/proc/13884
- MathSciNet review: 3754332