登入選單
返回Google圖書搜尋
Geometry of Defining Relations in Groups
A.Yu. Ol'shanskii
出版Springer Science & Business Media, 1991-10-31
主題Mathematics / Algebra / AbstractComputers / Data ProcessingMathematics / TopologyMathematics / Geometry / GeneralMathematics / Group TheoryMathematics / Algebra / GeneralMathematics / Discrete MathematicsMathematics / Geometry / Analytic
ISBN07923139419780792313946
URLhttp://books.google.com.hk/books?id=jwNkqFQn-GcC&hl=&source=gbs_api
EBookSAMPLE
註釋The main feature of this book is a systematic application of elementary geometric and topological techniques for solving problems that arise naturally in algebra. After an account of preliminary material, there is a discussion of a geometrically intuitive interpretation of the derivation of consequences of defining relations of groups. A study is made of planar and certain other two-dimensional maps connected with well-known problems in general group theory, such as the problems of Burnside and O. Yu. Schmidt. The method of cancellation diagrams developed here is applied to these and to a series of other problems. This monograph is addressed to research workers and students in universities, and may be used as a basis for a series of specialized lectures or seminars.