{"product_id":"9781860949708","title":"The Solution of the k(GV) Problem","description":"\u003cp\u003eThe k(GV) conjecture claims that the number of conjugacy classes (irreducible characters) of the semidirect product GV is bounded above by the order of V. Here V is a finite vector space and G a subgroup of GL(V) of order prime to that of V. It may be regarded as the special case of Brauer's celebrated k(B) problem dealing with p-blocks B of p-solvable groups (p a prime). Whereas Brauer's problem is still open in its generality, the k(GV) problem has recently been solved, completing the work of a series of authors over a period of more than forty years. In this book the developments, ideas and methods, leading to this remarkable result, are described in detail.\u003c\/p\u003e","brand":"Imperial College Press","offers":[{"title":"Default Title","offer_id":47059050070256,"sku":"9781860949708","price":125.0,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0737\/7593\/9824\/files\/9781860949708_p0.jpg?v=1763600230","url":"https:\/\/shop-qa.barnesandnoble.com\/products\/9781860949708","provider":"Barnes \u0026 Noble (DEV)","version":"1.0","type":"link"}