This book contributes to important questions in modern representation theory of finite groups. On the one hand, it introduces and develops the abstract setting of the Frobenius categories (also called the Saturated fusion systems in the literature), created by the author fifteen years ago for a better understanding of what was loosely called the local theory either of finite groups or of blocks, and for the purpose of an eventual classification. On the other hand, it gives the application of the abstract setting to the blocks. In particular, it develops a framework for a deeper understanding of one of the central open problems in representation theory, known as Alperina (TM)s Weight Conjecture (AWC). One of the main results of the book is a reduction theorem of the authora (TM)s own form of AWC to quasi-simple groups. Although it is a research monograph rather than a textbook, all the arguments are widely developed to make it accessible to interested graduate students. A long introduction gives a motivating insight to each chapter and provides a basic guideline.
评分
评分
评分
评分
本站所有内容均为互联网搜索引擎提供的公开搜索信息,本站不存储任何数据与内容,任何内容与数据均与本站无关,如有需要请联系相关搜索引擎包括但不限于百度,google,bing,sogou 等
© 2025 book.wenda123.org All Rights Reserved. 图书目录大全 版权所有