# Group Theory by Mr. Muhammad Iftikhar

These notes are send by Mr. [[:people:iftikhar]]. We are really very thankful to him for providing these notes and appreciates his effort to publish these notes on MathCity.org.

Name | Lecture Notes on Group Theory |
---|---|

Author | Mr. Muhammad Iftikhar |

Pages | 70 pages |

Format | PDF (see Software section for PDF Reader) |

Size | 1.8 mB |

### Contents & Summary

- Binary Operation
- Groups
- Order of a group
- Order of an element
- Periodic group
- Finite and infinite group
- Cayley table
- Klien's four group
- Involution
- Cyclic group
- Cosets
- Equivalence relation
- Lagrange's theorem
- Relation between groups
- Homomorphism
- Cayley's theorem
- Conjugacy relation in groups
- Conjugacy class
- Self conjugate
- Double cosets
- Normal subgroups and factor groups
- Factor group or quotient group
- The isomorphism theorem
- First isomorphism theorem
- Second isomorphism theorem
- Third isomorphism theorem
- Automorphism
- Inner and outer automorphism
- Complete group
- Conjugation as an automorphism
- Commutator
- Direct product

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