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Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.43.

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Fusion systems on small $p$-groups
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by David A. Craven and Adam Glesser PDF
Trans. Amer. Math. Soc. 364 (2012), 5945-5967 Request permission

Abstract:

In this article we study several classes of ‘small’ $2$-groups: we complete the classification, started by Stancu, of all saturated fusion systems on metacyclic $p$-groups for all primes $p$. We consider Suzuki $2$-groups, and classify all center-free saturated fusion systems on $2$-groups of $2$-rank $2$. We end by classifying all possible $\mathcal {F}$-centric, $\mathcal {F}$-radical subgroups in saturated fusion systems on $2$-groups of $2$-rank $2$.
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Additional Information
  • David A. Craven
  • Affiliation: School of Mathematics, University of Birmingham, Edgbaston, Birmingham B15 2TT, United Kingdom
  • MR Author ID: 833948
  • Email: d.a.craven@bham.ac.uk
  • Adam Glesser
  • Affiliation: Department of Mathematics, California State University Fullerton, Fullerton, California 92834
  • Received by editor(s): July 9, 2010
  • Received by editor(s) in revised form: February 25, 2011
  • Published electronically: May 24, 2012
  • © Copyright 2012 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Trans. Amer. Math. Soc. 364 (2012), 5945-5967
  • MSC (2010): Primary 20D20; Secondary 20D45
  • DOI: https://doi.org/10.1090/S0002-9947-2012-05580-2
  • MathSciNet review: 2946938