Twisted group rings of metacyclic groups

Quinlan, Rachel

doi:10.1090/S1088-4165-03-00169-9

Twisted group rings of metacyclic groups
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by Rachel Quinlan

Represent. Theory 7 (2003), 214-226

DOI: https://doi.org/10.1090/S1088-4165-03-00169-9

Published electronically: June 26, 2003

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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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