{"product_id":"concretization-noematics-of-instanced-regimentation-pluriform-refigurization-phalanx-9798232912161","title":"Concretization Noematics of Instanced Regimentation Pluriform Refigurization Phalanx","description":"\u003cp\u003e • Author(s): P. Nectaria\u003cbr\u003e • Publisher: Independent Publisher\u003cbr\u003e • Publisher Imprint: Independent Publisher\u003cbr\u003e • BISAC: Algebra - General\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eThe generalized symmetric groups are the wreath product groups of the cyclic group with the symmetric group, a natural group-theoretic construction with many interesting applications. Some interesting special cases of these groups are the symmetric group and the hyperoctahedral group. We denote the wreath product groups (Z\/rZ) ≀ Sn with G(n, r) throughout this thesis. The problem of counting the number of irreducible representations of a given group whose determinant is non-trivial gains interest for re- searchers recently. In the case of symmetric groups, they call such representations to be chiral if the composition of ρ with the determinant map is non-trivial. The problem of counting the non-trivial determinants in [7] and [13] have their genesis in [28]. In [28], Macdonald developed combinatorics for partitions and gave a closed formula to count the number of odd-dimensional Specht modules for the symmetric groups. This number happened to be the product of the powers of 2 in the binary expansion of n and was obtained by characterizing the 2-core tower of the odd partitions.\u003c\/p\u003e","brand":"Atlantic Books","offers":[{"title":"Paperback","offer_id":46382557593751,"sku":"9798232912161","price":2801.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9798232912161.webp?v=1768776126","url":"https:\/\/atlanticbooks.com\/products\/concretization-noematics-of-instanced-regimentation-pluriform-refigurization-phalanx-9798232912161","provider":"Atlantic Books","version":"1.0","type":"link"}