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A cohomological characterization of nilpotent fusion systems


Authors: Antonio Díaz Ramos, Arturo Espinosa Baro and Antonio Viruel
Journal: Proc. Amer. Math. Soc. 146 (2018), 1447-1450
MSC (2010): Primary 20D15, 20D20, 55N25, 55R40
DOI: https://doi.org/10.1090/proc/13884
Published electronically: November 10, 2017
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Abstract: We provide a nilpotency criterion for fusion systems in terms of the vanishing of its cohomology with twisted coefficients.


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Antonio Díaz Ramos
Affiliation: Departamento de Álgebra, Geometría y Topología, Universidad de Málaga, Apdo correos 59, 29080 Málaga, Spain
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
Email: viruel@uma.es

DOI: https://doi.org/10.1090/proc/13884
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
Article copyright: © Copyright 2017 American Mathematical Society

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