Group Theory

Download E-books Characters and Blocks of Finite Groups (London Mathematical Society Lecture Note Series) PDF

It is a transparent, available and recent exposition of modular illustration idea of finite teams from a character-theoretic point of view. After a brief evaluate of the mandatory heritage fabric, the early chapters introduce Brauer characters and blocks and enhance their simple homes. the following 3 chapters learn and end up Brauer's first, moment and 3rd major theorems in flip. the writer then applies those effects to end up an enormous software of finite teams, the Glauberman Z*-theorem. Later chapters research Brauer characters in additional element. Navarro additionally explores the connection among blocks and common subgroups and discusses the modular characters and blocks in p-solvable teams. ultimately, he reviews the nature thought of teams with a Sylow p-subgroup of order p. each one bankruptcy concludes with a suite of difficulties. The ebook is aimed toward graduate scholars with a few prior wisdom of standard personality conception, and researchers learning the illustration idea of finite teams.

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