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

Access to Document

10.1090/S1088-4165-03-00169-9

Cite this

@article{c862069e6bac4c5ba6d86e63bc78a81b,

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.",

author = "Rachel Quinlan",

year = "2003",

month = jun,

day = "26",

doi = "10.1090/S1088-4165-03-00169-9",

language = "English",

volume = "7",

pages = "214--226",

journal = "Representation Theory",

issn = "1088-4165",

number = "10",

}

TY - JOUR

T1 - Twisted group rings of metacyclic groups

AU - Quinlan, Rachel

PY - 2003/6/26

Y1 - 2003/6/26

N2 - 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.

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.

UR - https://www.scopus.com/pages/publications/18444389737

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

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

M3 - Article

SN - 1088-4165

VL - 7

SP - 214

EP - 226

JO - Representation Theory

JF - Representation Theory

IS - 10

ER -

Twisted group rings of metacyclic groups

Abstract

Access to Document

Other files and links

Fingerprint

Cite this