Groups and Symmetry : Theory and Applications / by Bijan Davvaz.

Format:

Book

Author/Creator:

Davvaz, Bijan, author.

Series:

Mathematics and Statistics Series

Language:

English

Subjects (All):

Group theory.

Algebras, Linear.

Sequences (Mathematics).

Group Theory and Generalizations.

Linear Algebra.

Sequences, Series, Summability.

Local Subjects:

Group Theory and Generalizations.

Linear Algebra.

Sequences, Series, Summability.

Physical Description:

1 online resource (285 pages)

Edition:

1st ed. 2021.

Place of Publication:

Singapore : Springer Nature Singapore : Imprint: Springer, 2021.

Summary:

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.

Contents:

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.

Other Format:

Print version: Davvaz, Bijan Groups and Symmetry

ISBN:

9789811661082

OCLC:

1287129934