Geodesic
Projective Characters of the Infinite Generalized Symmetric Group
Funkcionalʹnyj analiz i ego priloženiâ, Tome 42 (2008) no. 1, pp. 82-85

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We consider the infinite generalized symmetric group $S(\infty)\ltimes\mathbb{Z}_m^\infty$, introduce its covering $\tilde{B}_m$, and describe all indecomposable characters on the group $\tilde{B}_m$.
Keywords: projective representation, infinite generalized symmetric group, indecomposable character, covering group. 
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A. V. Dudko; N. I. Nessonov. Projective Characters of the Infinite Generalized Symmetric Group. Funkcionalʹnyj analiz i ego priloženiâ, Tome 42 (2008) no. 1, pp. 82-85. http://geodesic.mathdoc.fr/item/FAA_2008_42_1_a7/