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Representation Theory

Published by the American Mathematical Society since 1997, this electronic-only journal is devoted to research in representation theory and seeks to maintain a high standard for exposition as well as for mathematical content. All articles are freely available to all readers and with no publishing fees for authors.

ISSN 1088-4165

The 2020 MCQ for Representation Theory is 0.71.

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.


Twisted group rings of metacyclic groups
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by Rachel Quinlan
Represent. Theory 7 (2003), 214-226
Published electronically: June 26, 2003


Given a finite metacyclic group $G$, a central extension $F$ having the projective lifting property over all fields is constructed. This extension and its group rings are used to investigate the faithful irreducible projective representations of $G$ and the fields over which they can be realized. A full description of the finite metacyclic groups having central simple twisted group rings over fields is given.
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Bibliographic Information
  • Rachel Quinlan
  • Affiliation: Department of Mathematics, University College, Dublin, Ireland
  • Email:
  • Received by editor(s): July 15, 2002
  • Received by editor(s) in revised form: December 12, 2002
  • Published electronically: June 26, 2003
  • Additional Notes: Research supported in part by the Higher Education Authority, Ireland
  • © Copyright 2003 American Mathematical Society
  • Journal: Represent. Theory 7 (2003), 214-226
  • MSC (2000): Primary 20C25
  • DOI:
  • MathSciNet review: 1990660