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Irreducible representations of the generalized symmetric group Bmn

Published online by Cambridge University Press:  18 May 2009

M. Saeed-ul-Islam
M. Saeed-ul-Islam
Affiliation:
Department of Pure Mathematics, University College Of Wales, Aberystwyth, U.K.
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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.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 29 , Issue 1 , January 1987 , pp. 1 - 6
Copyright
Copyright © Glasgow Mathematical Journal Trust 1987

References

REFERENCES

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