Gabriel Navarro - Böcker

This is a clear, accessible and up-to-date exposition of modular representation theory of finite groups from a character-theoretic viewpoint. After a short review of the necessary background material, the early chapters introduce Brauer characters and blocks and develop their basic properties. The next three chapters study and prove Brauer's first, second and third main theorems in turn. These results are then applied to prove a major application of finite groups, the Glauberman Z*-theorem. Later chapters examine Brauer characters in more detail. The relationship between blocks and normal subgroups is also explored and the modular characters and blocks in p-solvable groups are discussed. Finally, the character theory of groups with a Sylow p-subgroup of order p is studied. Each chapter concludes with a set of problems. The book is aimed at graduate students, with some previous knowledge of ordinary character theory, and researchers studying the representation theory of finite groups.

Selected writings by early LA cultural critic Gabriel Navarro, in English for the first timeIn the 1920s and 1930s a uniquely Mexican American entertainment culture flourished across the southwestern United States. Spanish-language newspapers offered theater listings, coverage of favorite performers, cultural criticism, and serialized novels that thematized entertainment culture. Gabriel Navarro was a key figure in this milieu. "There Are No Hispanic Stars!" assembles the novellas and articles that represent his extensive body of film and cultural criticism. Covering a range of topics from the lives of Hollywood's well-known Mexican actors to the plight of Mexican extras and the formation of amateur film clubs, Navarro allowed his readers to participate in the construction of a Latina/o Hollywood. At the same time, he urged Hollywood not to overlook its Latina/o audiences. Together, these writings present a lively look at the film culture that emerged in the Southwest's Mexican immigrant community. The introduction situates Navarro's writing within the context of Mexican-oriented journalism and cultural politics of the era.

The McKay conjecture is the origin of the counting conjectures in the representation theory of finite groups. This book gives a comprehensive introduction to these conjectures, while assuming minimal background knowledge. Character theory is explored in detail along the way, from the very basics to the state of the art. This includes not only older theorems, but some brand new ones too. New, elegant proofs bring the reader up to date on progress in the field, leading to the final proof that if all finite simple groups satisfy the inductive McKay condition, then the McKay conjecture is true. Open questions are presented throughout the book, and each chapter ends with a list of problems, with varying degrees of difficulty.