Geometry of Defining Relations in Groups: 70 (Mathematics and its Applications) - Hardcover

Ol'shanskii, A.Yu.

 
9780792313946: Geometry of Defining Relations in Groups: 70 (Mathematics and its Applications)

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'Ht moi *..., si favait su comment en reveniT, One service mathematics hal rendered the je n'y serais point aile.' human race. It has put C

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Reseña del editor

'Ht moi *..., si favait su comment en reveniT, One service mathematics hal rendered the je n'y serais point aile.' human race. It has put C

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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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9789401056052: Geometry of Defining Relations in Groups: 70 (Mathematics and its Applications)

Vorgestellte Ausgabe

ISBN 10:  9401056056 ISBN 13:  9789401056052
Verlag: Springer, 2012
Softcover