Groups and Symmetry
Theory and Applications
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Beschreibung
This textbook provides a readable account of the examples and fundamental results of groups from a theoretical and geometrical point of view. This is the second book of the set of two books on groups theory. Topics on linear transformation and linear groups, group actions on sets, Sylow’s theorem, simple groups, products of groups, normal series, free groups, platonic solids, Frieze and wallpaper symmetry groups and characters of groups have been discussed in depth. Covering all major topics, this book is targeted to advanced undergraduate students of mathematics with no prerequisite knowledge of the discussed topics. Each section ends with a set of worked-out problems and supplementary exercises to challenge the knowledge and ability of the reader.
This textbook provides a readable account of the examples and fundamental results of groups from a theoretical and geometrical point of view. This is the second book of the set of two books on groups theory. Topics on linear transformation and linear groups, group actions on sets, Sylow’s theorem, simple groups, products of groups, normal series, free groups, platonic solids, Frieze and wallpaper symmetry groups and characters of groups have been discussed in depth. Covering all major topics, this book is targeted to advanced undergraduate students of mathematics with no prerequisite knowledge of the discussed topics. Each section ends with a set of worked-out problems and supplementary exercises to challenge the knowledge and ability of the reader.
Discusses group theory from theoretical as well as geometrical point of view Contains colored images for better explanation Includes solved examples and exercises at the end of each chapter
Autor*in
Bijan Davvaz
Themen in »Groups and Symmetry«
linear transformations linear groups group actions on sets Sylow's theorem simple groups product of groups normal series free groups symmetry groups platonic solids Frieze and wallpaper symmetry groups characters of groups
Stimmen zu »Groups and Symmetry«
“This is an introductory book on group theory. ... There is a large number of diagrams and pictures helping the reader better understand the concepts. The many examples and worked-out exercises are the strengths of the book.” (Attila Maroti, zbMATH 1526.20001, 2024)
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