Geodesic
Projective Characters of the Infinite Generalized Symmetric Group
Funkcionalʹnyj analiz i ego priloženiâ, Tome 42 (2008) no. 1, pp. 82-85 Cet article a éte moissonné depuis la source Math-Net.Ru

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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/

[1] R. Boyer, Int. J. Math. Math. Sci., 9 (2005), 1365–1379 | DOI | MR | Zbl

[2] A. Dudko, N. Nessonov, http://arxiv.org/abs/math/0510597

[3] V. N. Ivanov, Zap. nauchn. sem. POMI, 240, 1997, 115–135 ; http://arxiv.org/abs/math/0303169 | MR | Zbl

[4] A. O. Morris, H. Jones, Sém. Lothar. Combin., 50, Art. B50b (2003) | MR | Zbl

[5] M. L. Nazarov, Representation Theory and Dynamical Systems, Adv. Soviet Math., 9, Amer. Math. Soc., Providence, RI, 1992, 115–130 | MR

[6] A. Yu. Okunkov, Funkts. analiz i ego pril., 28:2 (1994), 31–40 | MR | Zbl