Skip to Main Content

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.

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.


Generic central extensions and projective representations of finite groups
HTML articles powered by AMS MathViewer

by Rachel Quinlan PDF
Represent. Theory 5 (2001), 129-146 Request permission


Any free presentation for the finite group $G$ determines a central extension $(R,F)$ for $G$ having the projective lifting property for $G$ over any field $k$. The irreducible representations of $F$ which arise as lifts of irreducible projective representations of $G$ are investigated by considering the structure of the group algebra $kF$, which is greatly influenced by the fact that the set of torsion elements of $F$ is equal to its commutator subgroup and, in particular, is finite. A correspondence between projective equivalence classes of absolutely irreducible projective representations of $G$ and $F$-orbits of absolutely irreducible characters of $F’$ is established and employed in a discussion of realizability of projective representations over small fields.
Similar Articles
  • Retrieve articles in Representation Theory of the American Mathematical Society with MSC (2000): 20C25, 20C07
  • Retrieve articles in all journals with MSC (2000): 20C25, 20C07
Additional Information
  • Rachel Quinlan
  • Affiliation: Department of Mathematical Sciences, University of Alberta, Edmonton, Alberta, Canada, T6G 2G1
  • Address at time of publication: Department of Mathematics, University College Dublin, Dublin, Ireland
  • Email:
  • Received by editor(s): February 26, 2001
  • Received by editor(s) in revised form: March 23, 2001
  • Published electronically: June 5, 2001
  • © Copyright 2001 American Mathematical Society
  • Journal: Represent. Theory 5 (2001), 129-146
  • MSC (2000): Primary 20C25; Secondary 20C07
  • DOI:
  • MathSciNet review: 1835002