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Twisted group rings of metacyclic groups
Author(s):
Rachel
Quinlan
Journal:
Represent. Theory
7
(2003),
214-226.
MSC (2000):
Primary 20C25
Posted:
June 26, 2003
MathSciNet review:
1990660
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Abstract:
Given a finite metacyclic group  , a central extension  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  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.
References:
-
- 1.
- B. Huppert, Endliche gruppen I, Springer-Verlag, Berlin-Heidelberg-New York, 1967. MR 37:302
- 2.
- N. Jacobson, Basic algebra II, W.H. Freeman, San Francisco, 1980. MR 81g:00001
- 3.
- H.N. Ng, Faithful irreducible projective representations of metabelian groups, J. Algebra 38 (1976), 8-28. MR 55:5732
- 4.
- D.S. Passman, The algebraic structure of group rings, Wiley, New York, 1977. MR 81d:16001
- 5.
- R Quinlan, Generic central extensions and projective representations of finite groups, Represent. Theory 5 (2001), 129-146. MR 2002e:20021
- 6.
- K. Yamazaki, On projective representations and ring extensions of finite groups, J. Fac. Sci. Univ. Tokyo Sect. 1 10 (1964), 147-195. MR 31:4842
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Additional Information:
Rachel
Quinlan
Affiliation:
Department of Mathematics, University College, Dublin, Ireland
Email:
rachel.quinlan@ucd.ie
DOI:
10.1090/S1088-4165-03-00169-9
PII:
S 1088-4165(03)00169-9
Received by editor(s):
July 15, 2002
Received by editor(s) in revised form:
December 12, 2002
Posted:
June 26, 2003
Additional Notes:
Research supported in part by the Higher Education Authority, Ireland
Copyright of article:
Copyright
2003,
American Mathematical Society
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