{"title":"I Martin Isaacs","description":null,"products":[{"product_id":"geometry-for-college-students-book-i-martin-isaacs-9780821887066","title":"GEOMETRY FOR COLLEGE STUDENTS","description":null,"brand":"WoB","offers":[{"title":"US \/ GOOD \/ SBYB","offer_id":50363097415953,"sku":"CIN0821887068G","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/0821887068.jpg?v=1750947481"},{"product_id":"character-theory-of-finite-groups-book-i-martin-isaacs-9780486680149","title":"Character Theory of Finite Groups","description":"The book is a pleasure to read. There is no question but that it will become, and deserves to be, a widely used textbook and reference. Bulletin of the American Mathematical Society.\u003cbr\u003eCharacter theory provides a powerful tool for proving theorems about finite groups. In addition to dealing with techniques for applying characters to pure group theory, a large part of this book is devoted to the properties of the characters themselves and how these properties reflect and are reflected in the structure of the group.\u003cbr\u003eChapter I consists of ring theoretic preliminaries. Chapters 2 to 6 and 8 contain the basic material of character theory, while Chapter 7 treats an important technique for the application of characters to group theory. Chapter 9 considers irreducible representations over arbitrary fields, leading to a focus on subfields of the complex numbers in Chapter 10. In Chapter 15 the author introduces Brauer s theory of blocks and modular characters. Remaining chapters deal with more specialized topics, such as the connections between the set of degrees of the irreducible characters and structure of a group. Following each chapter is a selection of carefully thought out problems, including exercises, examples, further results and extensions and variations of theorems in the text.\u003cbr\u003ePrerequisites for this book are some basic finite group theory: the Sylow theorems, elementary properties of permutation groups and solvable and nilpotent groups. Also useful would be some familiarity with rings and Galois theory. In short, the contents of a first-year graduate algebra course should be sufficient preparation.","brand":"WoB","offers":[{"title":"US \/ NEW \/ INGRAM","offer_id":51002862698769,"sku":"NIN9780486680149","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ VERY_GOOD \/ SBYB","offer_id":51817128395025,"sku":"CIN0486680142VG","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ GOOD \/ SBYB","offer_id":52073473966353,"sku":"CIN0486680142G","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/0486680142.jpg?v=1751260823"}],"url":"https:\/\/www.worldofbooks.com\/de-ch\/collections\/autor-buecher-von-i-martin-isaacs.oembed","provider":"World of Books ","version":"1.0","type":"link"}