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Representation Theory

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

ISSN 1088-4165

The 2020 MCQ for Representation Theory is 0.7.

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Twisted group rings of metacyclic groups
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by Rachel Quinlan PDF
Represent. Theory 7 (2003), 214-226 Request permission


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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Additional 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