{"product_id":"solution-of-the-k-gv-problem-9781860949708","title":"Solution Of The K(Gv) Problem","description":"\u003cp\u003e • Author(s): Peter Schmidt\u003cbr\u003e • Publisher: World Scientific Pub\u003cbr\u003e • Publisher Imprint: World Sc.\u003cbr\u003e • Subject: Engineering\u003cbr\u003e • BISAC: Group Theory\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\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":"World Scientific Pub","offers":[{"title":"Hardcover","offer_id":45091904389271,"sku":"9781860949708","price":4931.0,"currency_code":"INR","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9781860949708.webp?v=1769205259","url":"https:\/\/atlanticbooks.com\/products\/solution-of-the-k-gv-problem-9781860949708","provider":"Atlantic Books","version":"1.0","type":"link"}