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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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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.
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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