A First Course in Group Theory

By Bijan Davvaz

Book Overview

Preliminaries Notions.- Symmetries of Shapes.- Binary Operations.- Cyclic Groups.- Inverse Functions and Permutations.- Group of Arithmetical Functions.- Matrix Groups.- Translation and Scaling Matrices.- Cosets of Subgroups and Lagrange's Theorem.- Normal Subgroups and Factor Groups.- Some Special Subgroups.- Commutators and Derived Subgroups.- Maximal Subgroups.- Group Homomorphisms.- Homomorphisms and Their Properties.- Cayley's Theorem.- Another View of Linear Groups.

• Format: Hardcover
• Language: English
• ISBN: 9811663645
• ISBN13: 9789811663642
• Release Date: November 2021
• Publisher: Springer
• Length: 291 Pages
• Weight: 1.34 lbs.
• Dimensions: 0.8" x 6.1" x 9.2"