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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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Thick subcategories of the bounded derived category of a finite group
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by Jon F. Carlson and Srikanth B. Iyengar PDF
Trans. Amer. Math. Soc. 367 (2015), 2703-2717 Request permission

Abstract:

A new proof of the classification for tensor ideal thick subcategories of the bounded derived category, and the stable category, of modular representations of a finite group is obtained. The arguments apply more generally to yield a classification of thick subcategories of the bounded derived category of an artinian complete intersection ring. One of the salient features of this work is that it takes no recourse to infinite constructions, unlike previous proofs of these results.
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Additional Information
  • Jon F. Carlson
  • Affiliation: Department of Mathematics, University of Georgia, Athens, Georgia 30602
  • MR Author ID: 45415
  • Email: jfc@math.uga.edu
  • Srikanth B. Iyengar
  • Affiliation: Department of Mathematics, University of Nebraska, Lincoln, Nebraska 68588
  • MR Author ID: 616284
  • ORCID: 0000-0001-7597-7068
  • Email: siyengar2@unl.edu
  • Received by editor(s): February 1, 2012
  • Received by editor(s) in revised form: March 5, 2013
  • Published electronically: September 4, 2014
  • Additional Notes: The research of the first author was partially supported by NSF grant DMS-1001102
    The research of the second author was partially supported by NSF grant DMS-0903493
  • © Copyright 2014 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Trans. Amer. Math. Soc. 367 (2015), 2703-2717
  • MSC (2010): Primary 20J06; Secondary 20C20, 13D09, 16E45
  • DOI: https://doi.org/10.1090/S0002-9947-2014-06121-7
  • MathSciNet review: 3301878