Skip to Main Content

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.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Groups which do not admit ghosts
HTML articles powered by AMS MathViewer

by Sunil K. Chebolu, J. Daniel Christensen and Ján Mináč PDF
Proc. Amer. Math. Soc. 136 (2008), 1171-1179 Request permission

Corrigendum: Proc. Amer. Math. Soc. 136 (2008), 3727-3727.

Abstract:

A ghost in the stable module category of a group $G$ is a map between representations of $G$ that is invisible to Tate cohomology. We show that the only non-trivial finite $p$-groups whose stable module categories have no non-trivial ghosts are the cyclic groups $C_2$ and $C_3$. We compare this to the situation in the derived category of a commutative ring. We also determine for which groups $G$ the second power of the Jacobson radical of $kG$ is stably isomorphic to a suspension of $k$.
References
Similar Articles
  • Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 20C20, 20J06, 55P42
  • Retrieve articles in all journals with MSC (2000): 20C20, 20J06, 55P42
Additional Information
  • Sunil K. Chebolu
  • Affiliation: Department of Mathematics, University of Western Ontario, London, Ontario, Canada
  • Email: schebolu@uwo.ca
  • J. Daniel Christensen
  • Affiliation: Department of Mathematics, University of Western Ontario, London, Ontario, Canada
  • MR Author ID: 325401
  • Email: jdc@uwo.ca
  • Ján Mináč
  • Affiliation: Department of Mathematics, University of Western Ontario, London, Ontario, Canada
  • Email: minac@uwo.ca
  • Received by editor(s): October 13, 2006
  • Received by editor(s) in revised form: January 2, 2007
  • Published electronically: December 6, 2007
  • Communicated by: Paul Goerss
  • Journal: Proc. Amer. Math. Soc. 136 (2008), 1171-1179
  • MSC (2000): Primary 20C20, 20J06; Secondary 55P42
  • DOI: https://doi.org/10.1090/S0002-9939-07-09058-2
  • MathSciNet review: 2367091