Combinatorial Group Theory : Open Problems on Infinite Groups
Language: English
Published by De Gruyter Mär 2202, 2202
- Softcover
- New
Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH
AbeBooks seller since August 14, 2006
Condition: New
£ 66.15
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Add to basketItem description from seller
Neuware - This is an annotated collection of over 200 open problems in combinatorial group theory. One can say that most of the problems are closer in spirit to the 'purely combinatorial' group theory. However, the authors included several problems with geometric flavor where they felt this was natural. Approximately 20 years ago, a new direction in group theory began to emerge at the interface with theoretical computer science. In recognition of this, the given collection includes problems that are not only significant in combinatorial group theory but also have direct relevance to this emerging area, such as the Post correspondence problem for groups, which is gaining momentum in contemporary research. The 'flagship' section includes problems about free groups; these have been at the center of combinatorial group theory for over a century, and they are getting ever more popular due to newly discovered connections with the theoretical computer science mentioned above.Other classes of groups that the authors cover include hyperbolic groups, solvable groups, groups of matrices, and others. The target audience of the book is very broad: from PhD students to senior researchers.…
Seller Inventory # 9783119146791
- Title
- Combinatorial Group Theory : Open Problems on Infinite Groups
- Author
- Ilya Kapovich
- Publisher
- De Gruyter Mär 2202
- Publication year
- 2202
- Condition
- Neu
- Binding
- Taschenbuch
- Language
- English
- ISBN 10
- 311914679X
- ISBN 13
- 9783119146791
- Item weight
- 178 grams
- Dimensions
- 235x165x8 mm
This is an annotated collection of over 200 open problems in combinatorial group theory. One can say that most of the problems are closer in spirit to the "purely combinatorial" group theory. However, the authors included several problems with geometric flavor where they felt this was natural.
Approximately 20 years ago, a new direction in group theory began to emerge at the interface with theoretical computer science. In recognition of this, the given collection includes problems that are not only significant in combinatorial group theory but also have direct relevance to this emerging area, such as the Post correspondence problem for groups, which is gaining momentum in contemporary research.
The “flagship” section includes problems about free groups; these have been at the center of combinatorial group theory for over a century, and they are getting ever more popular due to newly discovered connections with the theoretical computer science mentioned above.
Other classes of groups that the authors cover include hyperbolic groups, solvable groups, groups of matrices, and others. The target audience of the book is very broad: from PhD students to senior researchers.
"Synopsis" may belong to another edition of this title.
About the Author
All authors are top-notch group theorists.
Ilya Kapovich is Professor of Mathematics at the City University of New York (Hunter College). He is the author of over 80 papers and one monograph.
Alexei Myasnikov is Distinguished Professor of Mathematics at Stevens Institute of Technology. He is the author of over 200 papers and 4 monographs.
Vladimir Shpilrain is Professor of Mathematics at the City University of New York (City College). He is the author of over 120 papers and 4 monographs.
"About the title" may belong to another edition of this title.
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