Introduction to Abstract Group Theory KD4QN1KTE4

URI	`m2://res/KD4QN1KTE4`
Kind	course
Creators	Krishna Hanumanthu (instructor)
Date	2019-05-06
Scope	in

Expressions

e1: edition

Language	en
Date	2019-05-06

m1: page, Chennai Mathematical Institute (record). nptel 111106113
m2: page, 2019-05-06 (record). nptel 111106113

Contents

part 1: Week 1
session 1: Motivational examples of groups
session 2: Definition of a group and examples
session 3: More examples of groups
session 4: Basic properties of groups and multiplication tables
session 5: Problems 1
session 6: Problems 2
part 2: Week 2
session 7: Problems 3
session 8: Subgroups
session 9: Types of groups
session 10: Group homomorphisms and examples
session 11: Properties of homomorphisms
part 3: Week 3
session 12: Group isomorphisms
session 13: Normal subgroups
session 14: Equivalence relations
session 15: Problems 4
session 16: Cosets and Lagrange's theorem
session 17: S_3 revisited
part 4: Week 4
session 18: Problems 5
session 19: Quotient groups
session 20: Examples of quotient groups
session 21: First isomorphism theorem
session 22: Examples and Second isomorphism theorem
session 23: Third isomorphism theorem
part 5: Week 5
session 24: Cauchy's theorem
session 25: Problems 6
session 26: Symmetric groups I
session 27: Symmetric Groups II
session 28: Symmetric groups III
part 6: Week 6
session 29: Symmetric groups IV
session 30: Odd and even permutations I
session 31: Odd and even permutations II
session 32: Alternating groups
session 33: Group actions
session 34: Examples of group actions
part 7: Week 7
session 35: Orbits and stabilizers
session 36: Counting formula
session 37: Cayley's theorem
session 38: Problems 7
session 39: Problems 8 and Class equation
part 8: Week 8
session 40: Group actions on subsets
session 41: Sylow Theorem I
session 42: Sylow Theorem II
session 43: Sylow Theorem III
session 44: Problems 9
session 45: Problems 10

Catalogue records

nptel: 111106113 (manifestation)
nptel_video: 111106113 (manifestation)