{"product_id":"explicit-brauer-induction-canonical-algebraic-method","title":"Explicit Brauer Induction: Canonical Algebraic Method","description":"\u003cp\u003eIn this review of Explicit Brauer Induction readers will find a focused assessment for research algebraists and graduate students. Victor P. Snaith presents a canonical, algebraic derivation of a technique first uncovered in 1986, and the book's single biggest strength is that it translates a previously topological method into a form usable by algebraists, making the material directly applicable in number theory and group-ring problems. The review concentrates on clarity of exposition, the significance of the canonical formula for Brauer's induction theorem, and practical illustrations of the method.\u003c\/p\u003e\n\u003ch2\u003eKey Features\u003c\/h2\u003e\n\u003cul\u003e\n\u003cli\u003e\n\u003cstrong\u003eCanonical formula:\u003c\/strong\u003e Presents a clear algebraic derivation of Brauer's induction formula so readers can apply it directly without topological prerequisites.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eAlgebraic method:\u003c\/strong\u003e Adapts a method of R. Boltje to make the technique accessible to those trained in pure algebra rather than topology.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eApplications:\u003c\/strong\u003e Uses the technique to reprove known results and to resolve outstanding problems, demonstrating practical reach in algebra and number theory.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eConcrete illustration:\u003c\/strong\u003e Shows how the method improves constructions such as the Oliver-Taylor group-ring logarithm, giving a tangible payoff for the abstract development.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eResearch orientation:\u003c\/strong\u003e Designed to introduce research algebraists to the possibilities of the technique and to stimulate further work in the area.\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003ch2\u003eWho It's For\u003c\/h2\u003e\n\u003cp\u003eThe book is best suited to research algebraists, advanced graduate students in algebra and number theory, and mathematicians interested in representation theory and group rings who want a canonical algebraic form of Brauer's induction theorem. Its focus on algebraic derivation makes it particularly valuable for readers who prefer algebraic methods over topological ones.\u003c\/p\u003e\n\u003cp\u003eThose looking for an introductory textbook or elementary treatments of group theory will find the material dense; readers new to representation theory or without graduate-level background in algebra should look for more introductory texts before tackling this volume.\u003c\/p\u003e\n\u003ch2\u003ePros \u0026amp; Cons\u003c\/h2\u003e\n\u003cp\u003e\u003cstrong\u003ePros\u003c\/strong\u003e\u003c\/p\u003e\n\u003cul\u003e\n\u003cli\u003eProvides a canonical algebraic formulation of a classical theorem, making a delicate result usable in algebraic contexts.\u003c\/li\u003e\n\u003cli\u003eMakes a previously topological technique accessible through an algebraic pathway, broadening the audience.\u003c\/li\u003e\n\u003cli\u003eIncludes worked applications that reprove important results and settle specific outstanding problems, illustrating utility.\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003cp\u003e\u003cstrong\u003eCons\u003c\/strong\u003e\u003c\/p\u003e\n\u003cul\u003e\n\u003cli\u003eDensity and research-level focus mean it is not a gentle introduction for beginners; prior graduate-level background is effectively required.\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003ch2\u003eSpecifications\u003c\/h2\u003e\n\u003ctable\u003e\n\u003ctr\u003e\n\u003ctd\u003eTitle\u003c\/td\u003e\n\u003ctd\u003eExplicit Brauer Induction: With Applications to Algebra and Number Theory\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eSeries\u003c\/td\u003e\n\u003ctd\u003eCambridge Studies in Advanced Mathematics, Series Number 40\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eAuthor \/ Brand\u003c\/td\u003e\n\u003ctd\u003eVictor P. Snaith\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eOrigin of technique\u003c\/td\u003e\n\u003ctd\u003eDiscovered by the author in 1986; previously topological\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eMethodological basis\u003c\/td\u003e\n\u003ctd\u003eAlgebraic derivation following a method of R. Boltje\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eIllustrative application\u003c\/td\u003e\n\u003ctd\u003eImproved construction of the Oliver-Taylor group-ring logarithm\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003c\/table\u003e\n\u003ch2\u003eOur Verdict\u003c\/h2\u003e\n\u003cp\u003eExplicit Brauer Induction is a valuable, research-focused contribution that algebraists and number theorists should consider when they need a canonical, algebraic form of Brauer's induction theorem. It repackages a topological technique into a usable algebraic method and offers concrete applications, making it good value for readers who already have graduate-level preparation and want tools for further research.\u003c\/p\u003e\n\u003ch2\u003eFrequently Asked Questions\u003c\/h2\u003e\n\u003cp\u003e\u003cstrong\u003eDoes this book require topology background?\u003c\/strong\u003e\u003cbr\u003eNo; the book's goal is to present an algebraic derivation so that algebraists without a topology background can apply the technique.\u003c\/p\u003e\n\u003cp\u003e\u003cstrong\u003eIs this suitable for beginners in algebra?\u003c\/strong\u003e\u003cbr\u003eNot really; the text is research-oriented and suited to advanced graduate students or researchers rather than beginners.\u003c\/p\u003e\n\u003cp\u003e\u003cstrong\u003eWhat notable applications are included?\u003c\/strong\u003e\u003cbr\u003eThe book illustrates applications such as an improved construction of the Oliver-Taylor group-ring logarithm and reproves several known results using the new technique.\u003c\/p\u003e","brand":"Victor P. Snaith","offers":[{"title":"Default Title","offer_id":48673712406747,"sku":"052117273X","price":52.82,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0724\/1043\/1707\/files\/61iO9dTSfcL._SL1500.jpg?v=1778619151","url":"https:\/\/gearmusthave.com\/products\/explicit-brauer-induction-canonical-algebraic-method","provider":"GearMustHave","version":"1.0","type":"link"}