{"product_id":"character-theory-of-finite-groups-9783110154214","title":"Character Theory of Finite Groups","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eThe aim of the \u003cem\u003eExpositions\u003c\/em\u003e is to present new and important developments in pure and applied mathematics. Well established in the community over more than two decades, the series offers a large library of mathematical works, including several important classics. \u003c\/p\u003e \u003cp\u003eThe volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers interested in a thorough study of the subject. \u003c\/p\u003e \u003cp\u003e\u003cstrong\u003eEditorial Board\u003c\/strong\u003e \u003c\/p\u003e \u003cp\u003e\u003cstrong\u003eLev Birbrair\u003c\/strong\u003e, Universidade Federal do Ceará, Fortaleza, Brasil\u003cbr\u003e\u003cstrong\u003eWalter D. Neumann\u003c\/strong\u003e, Columbia University, New York, USA\u003cbr\u003e\u003cstrong\u003eMarkus J. Pflaum\u003c\/strong\u003e, University of Colorado, Boulder, USA\u003cbr\u003e\u003cstrong\u003eDierk Schleicher\u003c\/strong\u003e, Aix-Marseille Université, France\u003cbr\u003e\u003cstrong\u003eKatrin Wendland\u003c\/strong\u003e, Trinity College Dublin, Dublin, Ireland \u003c\/p\u003e \u003cp\u003e\u003cstrong\u003eHonorary Editor\u003c\/strong\u003e \u003c\/p\u003e \u003cp\u003e\u003cstrong\u003eVictor P. Maslov\u003c\/strong\u003e, Russian Academy of Sciences, Moscow, Russia \u003c\/p\u003e \u003cp\u003e\u003cstrong\u003eTitles in planning include\u003c\/strong\u003e \u003c\/p\u003e \u003cp\u003eYuri A. Bahturin, \u003cem\u003eIdentical Relations in Lie Algebras\u003c\/em\u003e (2019)\u003cbr\u003eYakov G. Berkovich, Lev G. Kazarin, and Emmanuel M. Zhmud', \u003cem\u003eCharacters of Finite Groups\u003c\/em\u003e, Volume 2 (2019)\u003cbr\u003eJorge Herbert Soares de Lira, \u003cem\u003eVariational Problems for Hypersurfaces in Riemannian Manifolds\u003c\/em\u003e (2019)\u003cbr\u003eVolker Mayer, Mariusz Urbański, and Anna Zdunik, \u003cem\u003eRandom and Conformal Dynamical Systems\u003c\/em\u003e (2021)\u003cbr\u003eIoannis Diamantis, Boštjan Gabrovšek, Sofia Lambropoulou, and Maciej Mroczkowski, \u003cem\u003eKnot Theory of Lens Spaces\u003c\/em\u003e (2021) \u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eNotations and results from group theory; representations and representation-modules; simple and semisimple modules; orthogonality relations; the group algebra; characters of abelian groups; degrees of irreducible representations; characters of some small groups; products of representation and characters; on the number of solutions gm =1 in a group; a theorem of A. Hurwitz on multiplicative sums of squares ; permutation representations and characters; the class number; real characters and real representations; Coprime action; groups pa qb; Fronebius groups; induced characters; Brauer's permutation lemma and Glauberman's character correspondence; Clifford theory 1; projective representations; Clifford theory 2; extension of characters; Degree pattern and group structure; monomial groups; representation of wreath products; characters of p-groups; groups with a small number of character degrees; linear groups; the degree graph; groups all of whose character degrees are primes; two special degree problems; lengths of conjugacy classes; R. Brauer's theorem on the character ring; applications of Brauer's theorems; Artin's induction theorem; splitting fields; the Schur index; integral representations; three arithmetical applications; small kernels and faithful irreducible characters; TI-sets; involutions; groups whose Sylow-2-subgroups are generalized quaternion groups; perfect Fronebius complements. (Part contents).","brand":"De Gruyter","offers":[{"title":"Default Title","offer_id":51021146554711,"sku":"9783110154214","price":197.6,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9783110154214.jpg?v=1750785294","url":"https:\/\/bookcurl.com\/products\/character-theory-of-finite-groups-9783110154214","provider":"Book Curl","version":"1.0","type":"link"}