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Representation Theory

ISSN 1088-4165

 

 

Twisted group rings of metacyclic groups


Author: Rachel Quinlan
Journal: Represent. Theory 7 (2003), 214-226
MSC (2000): Primary 20C25
DOI: https://doi.org/10.1090/S1088-4165-03-00169-9
Published electronically: June 26, 2003
MathSciNet review: 1990660
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Abstract: 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: rachel.quinlan@ucd.ie

DOI: https://doi.org/10.1090/S1088-4165-03-00169-9
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
Article copyright: © Copyright 2003 American Mathematical Society