Abstract
Let G ≀ SN be the wreath product of a finite group G and the symmetric group SN. The aim of this paper is to prove the branching theorem for the increasing sequence of finite groups G ≀ S1 ⊂ G ≀ S2 ⊂ ... ⊂ G ≀ SN ⊂ ... and the analog of Young's orthogonal form for this case, using the inductive approach invented by A. Vershik and A. Okounkov for the case of symmetric group.
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Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 240, 1997, pp. 229–244.
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Pushkarev, I.A. On the representation theory of wreath products of finite groups and symmetric groups. J Math Sci 96, 3590–3599 (1999). https://doi.org/10.1007/BF02175835
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DOI: https://doi.org/10.1007/BF02175835