| 書目名稱 | The Theory of Classes of Groups | | 編輯 | Guo Wenbin | | 視頻video | http://file.papertrans.cn/922/921101/921101.mp4 | | 叢書名稱 | Mathematics and Its Applications | | 圖書封面 |  | | 描述 | One of the characteristics of modern algebra is the development of new tools and concepts for exploring classes of algebraic systems, whereas the research on individual algebraic systems (e. g. , groups, rings, Lie algebras, etc. ) continues along traditional lines. The early work on classes of alge- bras was concerned with showing that one class X of algebraic systems is actually contained in another class F. Modern research into the theory of classes was initiated in the 1930‘s by Birkhoff‘s work [1] on general varieties of algebras, and Neumann‘s work [1] on varieties of groups. A. I. Mal‘cev made fundamental contributions to this modern development. ln his re- ports [1, 3] of 1963 and 1966 to The Fourth All-Union Mathematics Con- ference and to another international mathematics congress, striking the- ories of classes of algebraic systems were presented. These were later included in his book [5]. International interest in the theory of formations of finite groups was aroused, and rapidly heated up, during this time, thanks to the work of Gaschiitz [8] in 1963, and the work of Carter and Hawkes [1] in 1967. The major topics considered were saturated formations, Fitting classes, | | 出版日期 | Book 2000 | | 關(guān)鍵詞 | Algebraic structure; Group theory; Lattice; Mathematica; algebra; finite group | | 版次 | 1 | | doi | https://doi.org/10.1007/978-94-011-4054-6 | | isbn_softcover | 978-94-010-5785-1 | | isbn_ebook | 978-94-011-4054-6 | | copyright | Springer Science+Business Media Dordrecht 2000 |
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