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Synopsis
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.
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Language Notes
Text: English (translation)
Original Language: Russian
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- PublisherSpringer
- Publication date1991
- ISBN 10 0792313941
- ISBN 13 9780792313946
- BindingHardcover
- LanguageEnglish
- Number of pages531
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Geometry of Defining Relations in Groups
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Geometry of Defining Relations in Groups
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Geometry of Defining Relations in Groups (Mathematics and its Applications, 70)
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