The theory of finite groups
The theory of finite groups
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DOI：
10.1007/b97433
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发表时间：
2003-11
期刊：
影响因子：
--
通讯作者：
H. Kurzweil;B. Stellmacher
中科院分区：
文献类型：
--
作者：
H. Kurzweil;B. Stellmacher
“这是一篇令人兴奋的文本，对挑战不断涌现并吸引观众的领域做出了令人耳目一新的贡献。尽管省略了表示理论和简单群的构造，但该文本可以作为多个方向进行更深入研究的跳板。完成本文的人不仅可以欣赏到有限群理论的深度和广度，而且还见证了构成当前研究基础的概念的演变发展。这是通过提供一条允许从一个概念自然流动到另一个概念的线索来实现的。 rather than compartmentalizing. Operators on sets and groups are introduced early and used effectively throughout. The bibliography provides excellent supplemental support... The text is tight; there is no fluff. The format builds on concepts essential for later expansion and associated reading. On occasion, results are stated without proof; continuity is maintained. Several proofs are provided free of representation theory on which the originals were based. More generally the proofs are direct, perhaps at times brief. The focus is on the underlying structural components, with selected details left to the reader. As a前八章有大量的练习，但由于材料的性质，后面的章节中出现了较少的练习，因此读者可以自信地学习文献。”（H. Bechtell，《数学评论》）
" This is an exciting text and a refreshing contribution to an area in which challenges continue to flourish and to captivate the viewer. Even though representation theory and constructions of simple groups have been omitted, the text serves as a springboard for deeper study in many directions. One who completes this text not only gains an appreciation of both the depth and the breadth of the theory of finite groups, but also witnesses the evolutionary development of concepts that form a basis for current investigations. This is accomplished by providing a thread that permits a natural flow from one concept to another rather than compartmentalizing. Operators on sets and groups are introduced early and used effectively throughout. The bibliography provides excellent supplemental support... The text is tight; there is no fluff. The format builds on concepts essential for later expansion and associated reading. On occasion, results are stated without proof; continuity is maintained. Several proofs are provided free of representation theory on which the originals were based. More generally the proofs are direct, perhaps at times brief. The focus is on the underlying structural components, with selected details left to the reader. As a result the reader develops the maturity required for approaching the literature with confidence. The first eight chapters have an abundance of exercises, not prorated, and some of the more challenging are addressed later in the text. Due to the nature of the material, fewer exercises appear in the remaining chapters."(H. Bechtell, Mathematical Reviews)