Groups and Symmetry Theory and Applications

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, s...

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Bibliographic Details
Main Author: Davvaz, Bijan
Format: eBook
Language:English
Published: Singapore Springer Nature Singapore 2021, 2021
Edition:1st ed. 2021
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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245 0 0 |a Groups and Symmetry  |h Elektronische Ressource  |b Theory and Applications  |c by Bijan Davvaz 
250 |a 1st ed. 2021 
260 |a Singapore  |b Springer Nature Singapore  |c 2021, 2021 
300 |a XV, 279 p. 108 illus., 102 illus. in color  |b online resource 
505 0 |a 1 Linear Transformations and Linear Groups -- 2 Group Actions on Sets -- 3 Sylow’s Theorems and Applications -- 4 Simple Groups -- 5 Product of Groups -- 6 Normal Series -- 7 Free Groups and Presentations -- 8 Symmetry Groups of Geometric Objects -- 9 Platonic Solids -- 10 Frieze and Wallpaper Symmetry Groups -- 11 Representations and Characters of Groups 
653 |a Group Theory and Generalizations 
653 |a Group theory 
653 |a Sequences, Series, Summability 
653 |a Linear Algebra 
653 |a Algebras, Linear 
653 |a Sequences (Mathematics) 
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520 |a 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