Geodesic
Projective representations of extra-special p-groups
Glasgow mathematical journal, Tome 19 (1978) no. 2, pp. 149-152

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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. 
Opolka, Hans. Projective representations of extra-special p-groups. Glasgow mathematical journal, Tome 19 (1978) no. 2, pp. 149-152. doi: 10.1017/S0017089500003542
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