群论与计算

English | PDF,EPUB | 2018 | 213 Pages | ISBN : 9811320462 | 14.63 MB

This book is a blend of recent developments in theoretical and computational aspects of group theory. It presents the state-of-the-art research topics in different aspects of group theory, namely, character theory, representation theory, integral group rings, the Monster simple group, computational algorithms and methods on finite groups, finite loops, periodic groups, Camina groups and generalizations, automorphisms and non-abelian tensor product of groups. Presenting a collection of invited articles by some of the leading and highly active researchers in the theory of finite groups and their representations and the Monster group, with a focus on computational aspects, this book is of particular interest to researchers in the area of group theory and related fields of mathematics.

这本书融合了最近在理论和计算群论方面的发展。它涵盖了不同方面的群论研究热点，包括字符理论、表示理论、整群环、魔群以及一般化魔群、有限群的计算算法和方法、有限可换群、有限除法环、卡马纳群及其推广、群的自同构与非阿贝尔张量积。本书邀请了该领域一些顶尖且活跃的研究者撰写的特邀文章，重点放在计算方面，特别适合群论及相关数学领域的研究人员阅读。

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