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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality 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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On the $p’$-extensions of inertial blocks
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by Yuanyang Zhou PDF
Proc. Amer. Math. Soc. 144 (2016), 41-54 Request permission

Abstract:

Let $p$ be a prime number, $G$ a finite group, $H$ a normal subgroup of $G$, and $b$ a $p$-block of $H$. Assuming that the index of $H$ in $G$ is coprime to $p$, we prove that any $p$-block of $G$ covering $b$ is inertial if and only if the block $b$ is inertial.
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Additional Information
  • Yuanyang Zhou
  • Affiliation: Department of Mathematics and Statistics, Central China Normal University, Wuhan, 430079, People’s Republic of China
  • Email: zhouyuanyang@mail.ccnu.edu.cn
  • Received by editor(s): January 9, 2014
  • Received by editor(s) in revised form: December 5, 2014
  • Published electronically: September 24, 2015
  • Additional Notes: The author was supported by self-determined research funds of CCNU from the colleges’ basic research and operation of MOE (No. 20205140052) and by NSFC (No. 11071091)
  • Communicated by: Pham Huu Tiep
  • © Copyright 2015 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 144 (2016), 41-54
  • MSC (2010): Primary 20C20
  • DOI: https://doi.org/10.1090/proc/12691
  • MathSciNet review: 3415575