Geodesic
Irreducible representations of the generalized symmetric group Bmn
Glasgow mathematical journal, Tome 29 (1987) no. 1, pp. 1-6

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This paper is devoted to the determining of the irreducible linear representations of the generalized symmetric group (elsewhere written as , Cm ≀ Sn or G(m, 1, n)) by considering the conjugacy classes of and then constructing the same number of inequivalent irreducible linear representations of . These have previously been determined by Kerber [2, Section 5] using Clifford's theory applied to wreath products. 
Saeed-ul-Islam, M. Irreducible representations of the generalized symmetric group Bmn. Glasgow mathematical journal, Tome 29 (1987) no. 1, pp. 1-6. doi: 10.1017/S0017089500006613
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[1] 1.Coxeter, H. S. M., The abstract groups , and , Proc. London Math. Soc. 41 (1936), 278–301. Google Scholar | DOI

[2] 2.Kerber, A., Representations of Permutations Groups I, Lecture Notes in Mathematics, No. 240 (Springer, 1971). Google Scholar | DOI

[3] 3.Osima, M., On the representations of the generalized symmetric groups, Math. J. Okayama Univ. 4 (1954), 39–56. Google Scholar

[4] 4.Puttaswamaiah, B. M., Unitary representations of generalized symmetric groups, Canad. J. Math. 21 (1969), 28–38. Google Scholar | DOI

[5] 5.Read, E. W., On the α-regular classes of the generalised symmetric group, Glasgow Math. J. 17 (1976), 144–150. Google Scholar | DOI

[6] 6.Saeed-ul-Islam, M., Irreducible projective representations of the generalized symmetric group , Proc. XII international Colloq. on Group Theoretical Methods in Physics, Lecture Notes in Physics No. 201 (Springer, 1983), 70–72. Google Scholar

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