Twisted group rings of metacyclic groups

Rachel Quinlan

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

Twisted group rings of metacyclic groups

Rachel Quinlan

University College Dublin

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

1 Citation (Scopus)

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 grouprings over fields is given.

Original language	English
Pages (from-to)	214-226
Number of pages	13
Journal	Representation Theory
Volume	7
Issue number	10
DOIs	https://doi.org/10.1090/S1088-4165-03-00169-9
Publication status	Published - 26 Jun 2003
Externally published	Yes

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title = "Twisted group rings of metacyclic groups",

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 grouprings over fields is given.",

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AB - 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 grouprings over fields is given.

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U2 - 10.1090/S1088-4165-03-00169-9

DO - 10.1090/S1088-4165-03-00169-9

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JO - Representation Theory

JF - Representation Theory

IS - 10

ER -

Twisted group rings of metacyclic groups

Abstract

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