Algebra VII Combinatorial Group Theory Applications to Geometry

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Weitere Verfasser: Paršin, Aleksej Nikolaevič 1942-2022 (HerausgeberIn), Šafarevič, Igorʹ R. 1923-2017 (HerausgeberIn)
Format: Elektronisch E-Book
Sprache:English
Veröffentlicht: Berlin, Heidelberg Springer Berlin Heidelberg 1993
Schriftenreihe:Encyclopaedia of Mathematical Sciences 58
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500 |a This allows the interested reader to get the flavour of these topics without becoming bogged down in detail. Both articles give comprehensive bibliographies, so that it is possible to use this book as the starting point for a more detailed study of a particular topic of interest. ... In summary, a very interesting book! Bulletin of the London Mathematical Society, 1996 "... In both essays the authors give clear and comprehensive definitions, examples and statements (but not proofs) of theorems, so that the book can be understood by a reader with a minimal background in group theory or geometry. Such a reader, needing to find out what is known in this area, will find this a full and accessible store of information." Contemporary Physics, 1994 "...This survey (Part II) presents for the first time that problems in monograph form and by the way offers a unifying treatment of the various approaches to their solutions, as far as they are known, together with hints to open problems. 
500 |a A titbit for every interested reader!" Monatshefte für Mathematik, 1995 
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spelling Algebra VII Combinatorial Group Theory Applications to Geometry edited by A. N. Parshin, I. R. Shafarevich
Berlin, Heidelberg Springer Berlin Heidelberg 1993
1 Online-Ressource (VII, 242 p)
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Encyclopaedia of Mathematical Sciences 58 0938-0396
From the reviews of the first printing of this book, published as volume 58 of the Encyclopaedia of Mathematical Sciences: "... This book will be very useful as a reference and guide to researchers and graduate students in algebra and and topology." Acta Scientiarum Mathematicarum, Ungarn, 1994 "... The book under review consists of two monographs on geometric aspects of group theory: Combinatorial group theory and fundamental groups" by D.J.Collins and H.Zieschang ...: "Some problems of group theory related to geometry" by R.I.Grigorchuk and P.F.Kurchanov. ... Together, these two articles form a wide-ranging survey of combinatorial group theory, with emphasis very much on the geometric roots of the subject. This will be a useful reference work for the expert, as well as providing an overview of the subject for the outsider or novice. Many different topics are described and explored, with the main results presented but not proved.
This allows the interested reader to get the flavour of these topics without becoming bogged down in detail. Both articles give comprehensive bibliographies, so that it is possible to use this book as the starting point for a more detailed study of a particular topic of interest. ... In summary, a very interesting book! Bulletin of the London Mathematical Society, 1996 "... In both essays the authors give clear and comprehensive definitions, examples and statements (but not proofs) of theorems, so that the book can be understood by a reader with a minimal background in group theory or geometry. Such a reader, needing to find out what is known in this area, will find this a full and accessible store of information." Contemporary Physics, 1994 "...This survey (Part II) presents for the first time that problems in monograph form and by the way offers a unifying treatment of the various approaches to their solutions, as far as they are known, together with hints to open problems.
A titbit for every interested reader!" Monatshefte für Mathematik, 1995
Mathematics
Group theory
Algebraic topology
Group Theory and Generalizations
Algebraic Topology
Mathematik
Paršin, Aleksej Nikolaevič 1942-2022 (DE-588)172519012 edt
Šafarevič, Igorʹ R. 1923-2017 (DE-588)119280337 edt
Encyclopaedia of Mathematical Sciences 58 (DE-604)BV024126459 58
https://doi.org/10.1007/978-3-642-58013-0 Verlag Volltext
spellingShingle Algebra VII Combinatorial Group Theory Applications to Geometry
Encyclopaedia of Mathematical Sciences
Mathematics
Group theory
Algebraic topology
Group Theory and Generalizations
Algebraic Topology
Mathematik
title Algebra VII Combinatorial Group Theory Applications to Geometry
title_auth Algebra VII Combinatorial Group Theory Applications to Geometry
title_exact_search Algebra VII Combinatorial Group Theory Applications to Geometry
title_full Algebra VII Combinatorial Group Theory Applications to Geometry edited by A. N. Parshin, I. R. Shafarevich
title_fullStr Algebra VII Combinatorial Group Theory Applications to Geometry edited by A. N. Parshin, I. R. Shafarevich
title_full_unstemmed Algebra VII Combinatorial Group Theory Applications to Geometry edited by A. N. Parshin, I. R. Shafarevich
title_short Algebra VII
title_sort algebra vii combinatorial group theory applications to geometry
title_sub Combinatorial Group Theory Applications to Geometry
topic Mathematics
Group theory
Algebraic topology
Group Theory and Generalizations
Algebraic Topology
Mathematik
topic_facet Mathematics
Group theory
Algebraic topology
Group Theory and Generalizations
Algebraic Topology
Mathematik
url https://doi.org/10.1007/978-3-642-58013-0
volume_link (DE-604)BV024126459
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