Author: John Cossey
Publisher: Walter de Gruyter
ISBN: 311080686X
Category : Mathematics
Languages : en
Pages : 349
Book Description
The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.
Geometric Group Theory Down Under
Author: John Cossey
Publisher: Walter de Gruyter
ISBN: 311080686X
Category : Mathematics
Languages : en
Pages : 349
Book Description
The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.
Publisher: Walter de Gruyter
ISBN: 311080686X
Category : Mathematics
Languages : en
Pages : 349
Book Description
The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.
Mathematical Reviews
Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 866
Book Description
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 866
Book Description
Cumulated Index to the Books
Author:
Publisher:
ISBN:
Category : American literature
Languages : en
Pages : 1134
Book Description
Publisher:
ISBN:
Category : American literature
Languages : en
Pages : 1134
Book Description
Some Results in Topology and Group Theory
Author: Kei Nakamura
Publisher:
ISBN:
Category :
Languages : en
Pages : 156
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 156
Book Description
Groups--Korea '98
Author: D. L. Johnson
Publisher: De Gruyter Proceedings in Mathematics
ISBN:
Category : Mathematics
Languages : en
Pages : 398
Book Description
No detailed description available for "Groups - Korea 98".
Publisher: De Gruyter Proceedings in Mathematics
ISBN:
Category : Mathematics
Languages : en
Pages : 398
Book Description
No detailed description available for "Groups - Korea 98".
From Groups to Geometry and Back
Author: Vaughn Climenhaga
Publisher: American Mathematical Soc.
ISBN: 1470434792
Category : Mathematics
Languages : en
Pages : 442
Book Description
Groups arise naturally as symmetries of geometric objects, and so groups can be used to understand geometry and topology. Conversely, one can study abstract groups by using geometric techniques and ultimately by treating groups themselves as geometric objects. This book explores these connections between group theory and geometry, introducing some of the main ideas of transformation groups, algebraic topology, and geometric group theory. The first half of the book introduces basic notions of group theory and studies symmetry groups in various geometries, including Euclidean, projective, and hyperbolic. The classification of Euclidean isometries leads to results on regular polyhedra and polytopes; the study of symmetry groups using matrices leads to Lie groups and Lie algebras. The second half of the book explores ideas from algebraic topology and geometric group theory. The fundamental group appears as yet another group associated to a geometric object and turns out to be a symmetry group using covering spaces and deck transformations. In the other direction, Cayley graphs, planar models, and fundamental domains appear as geometric objects associated to groups. The final chapter discusses groups themselves as geometric objects, including a gentle introduction to Gromov's theorem on polynomial growth and Grigorchuk's example of intermediate growth. The book is accessible to undergraduate students (and anyone else) with a background in calculus, linear algebra, and basic real analysis, including topological notions of convergence and connectedness. This book is a result of the MASS course in algebra at Penn State University in the fall semester of 2009.
Publisher: American Mathematical Soc.
ISBN: 1470434792
Category : Mathematics
Languages : en
Pages : 442
Book Description
Groups arise naturally as symmetries of geometric objects, and so groups can be used to understand geometry and topology. Conversely, one can study abstract groups by using geometric techniques and ultimately by treating groups themselves as geometric objects. This book explores these connections between group theory and geometry, introducing some of the main ideas of transformation groups, algebraic topology, and geometric group theory. The first half of the book introduces basic notions of group theory and studies symmetry groups in various geometries, including Euclidean, projective, and hyperbolic. The classification of Euclidean isometries leads to results on regular polyhedra and polytopes; the study of symmetry groups using matrices leads to Lie groups and Lie algebras. The second half of the book explores ideas from algebraic topology and geometric group theory. The fundamental group appears as yet another group associated to a geometric object and turns out to be a symmetry group using covering spaces and deck transformations. In the other direction, Cayley graphs, planar models, and fundamental domains appear as geometric objects associated to groups. The final chapter discusses groups themselves as geometric objects, including a gentle introduction to Gromov's theorem on polynomial growth and Grigorchuk's example of intermediate growth. The book is accessible to undergraduate students (and anyone else) with a background in calculus, linear algebra, and basic real analysis, including topological notions of convergence and connectedness. This book is a result of the MASS course in algebra at Penn State University in the fall semester of 2009.
Geometry & Topology
Author:
Publisher:
ISBN:
Category : Geometry
Languages : en
Pages : 630
Book Description
Publisher:
ISBN:
Category : Geometry
Languages : en
Pages : 630
Book Description
An Introduction to Lie Groups and Lie Algebras
Author: Alexander A. Kirillov
Publisher: Cambridge University Press
ISBN: 0521889693
Category : Mathematics
Languages : en
Pages : 237
Book Description
This book is an introduction to semisimple Lie algebras. It is concise and informal, with numerous exercises and examples.
Publisher: Cambridge University Press
ISBN: 0521889693
Category : Mathematics
Languages : en
Pages : 237
Book Description
This book is an introduction to semisimple Lie algebras. It is concise and informal, with numerous exercises and examples.
Random Walks on Solvable Groups
Author: David Robert Revelle
Publisher:
ISBN:
Category :
Languages : en
Pages : 218
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 218
Book Description
Geometric Group Theory
Author: Clara Löh
Publisher: Springer
ISBN: 3319722549
Category : Mathematics
Languages : en
Pages : 390
Book Description
Inspired by classical geometry, geometric group theory has in turn provided a variety of applications to geometry, topology, group theory, number theory and graph theory. This carefully written textbook provides a rigorous introduction to this rapidly evolving field whose methods have proven to be powerful tools in neighbouring fields such as geometric topology. Geometric group theory is the study of finitely generated groups via the geometry of their associated Cayley graphs. It turns out that the essence of the geometry of such groups is captured in the key notion of quasi-isometry, a large-scale version of isometry whose invariants include growth types, curvature conditions, boundary constructions, and amenability. This book covers the foundations of quasi-geometry of groups at an advanced undergraduate level. The subject is illustrated by many elementary examples, outlooks on applications, as well as an extensive collection of exercises.
Publisher: Springer
ISBN: 3319722549
Category : Mathematics
Languages : en
Pages : 390
Book Description
Inspired by classical geometry, geometric group theory has in turn provided a variety of applications to geometry, topology, group theory, number theory and graph theory. This carefully written textbook provides a rigorous introduction to this rapidly evolving field whose methods have proven to be powerful tools in neighbouring fields such as geometric topology. Geometric group theory is the study of finitely generated groups via the geometry of their associated Cayley graphs. It turns out that the essence of the geometry of such groups is captured in the key notion of quasi-isometry, a large-scale version of isometry whose invariants include growth types, curvature conditions, boundary constructions, and amenability. This book covers the foundations of quasi-geometry of groups at an advanced undergraduate level. The subject is illustrated by many elementary examples, outlooks on applications, as well as an extensive collection of exercises.