Groups and symmetry : theory and applications

著者

• Davvaz, Bijan

書誌事項

Groups and symmetry : theory and applications

Bijan Davvaz

Springer, c2021

注記

Includes bibliographical references (p. 273-275) and index

内容説明・目次

内容説明

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.

目次

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.

「Nielsen BookData」 より

詳細情報

• NII書誌ID(NCID): BC11994628
• ISBN:
  • 9789811661075
• 出版国コード: si
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: Singapore
• ページ数/冊数: xv, 279 p.
• 大きさ: 25 cm