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About this book :-
Group Theory Lecture Notes written by
Charles Qin .
Book Detail :-
Title: Group Theory Lecture Notes typed
Edition:
Author(s): Charles Qin
Publisher:
Series:
Year: 2006
Pages: 58
Type: PDF
Language: English
ISBN:
Country:
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Book Contents :-
Group Theory Lecture Notes written by
Charles Qin
cover the following topics.
How Mathematicians Study Symmetry
Matrix Groups
Permutation Groups
Generators & Dihedral Groups
Alternating & Abelian Groups
Cosets & Lagrange’s Theorem
Normal Subgroups & Quotient Groups
Group Homomorphisms I
Group Homomorphisms II
First Group Isomorphism Theorem
Subgroups Of Quotient Groups & Other Isomorphism Group Theorems
Products
Symmetries Of Regular Polygons
Abstract Symmetry & Group Actions
Orbits & Stabilisers
Structure Of Orbits & Platonic Solids
Counting Orbits & Cayley’s Theorem
Finite Groups Of Isometries I II
Rings
Ideals & Quotient Rings
Ring Homomorphisms I
Ring Homomorphisms II
Polynomial Rings
Matrix Rings & Direct Product
Fields Of Fractions
Introduction To Factorisation Theory
Principal Ideal Domains
Euclidean Domains
Fun With Euclidean Domains
UFDs & Gauss’ Lemma
Simple Field Extensions
Algebraic Extensions
Ruler & Compass Constructions
Finite Fields
Conjugation & p-Groups
Sylow’s Theorems
Note:-
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