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Projective representations of extra-special p-groups

Published online by Cambridge University Press:  18 May 2009

Hans Opolka
Hans Opolka
Affiliation:
Mathematisches Institut Der Universität Münster, Roxeler Strasse 64, D-4400 Münster, West Germany
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Let G be a finite group (with neutral element e) which operates trivially on the multiplicative group R* of a commutative ring R (with identity 1). Let H2(G, R*) denote the second cohomology group of G with respect to the trivial G-module R*. With every represented by the central factor system we associate the so called twisted group algebra (R, G, f) (see [3, V, 23.7] for the definition). (R, G, f) is determined by f up to R-algebra isomorphism. In this note we shall describe its representations in the case R is an algebraically closed field C of characteristic zero and G is an extra-special p-group P.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 19 , Issue 2 , July 1978 , pp. 149 - 152
Copyright
Copyright © Glasgow Mathematical Journal Trust 1978

References

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