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# Groups (Handwritten notes)

Name | Groups (Handwritten notes)- Lecture Notes |
---|---|

Author(s) | Atiq ur Rehman |

Pages | 82 pages |

Format | PDF and DjVu (see Software section for PDF or DjVu Reader |

Size | PDF: 4.48MB, DjVu: 3.56MB |

### CONTENTS OR SUMMARY:

- Groups; definition and examples
- Order of group, order of element
- Periodic group, mixed group
- Subgroup
- Invalution
- Relation between groups, homomorphism, monomorphism, epimorphism, isomorphism, endomorphism, examples and related theorem
- Kernel, definition and related theorems
- Cyclic group, related theorems
- Complex in a group, product of complexes and related theorems
- Coset, definition and examples
- Index of subgroup, Lagrange's theorem
- Double coset, related theorem
- Normalizer, definition and related theorems
- Centralizer, centre of group, related theorem
- Conjugate or transform of a group, definition and related theorems
- Self conjugate, conjugancy class, related theorem
- Class equation, p-group, definition and related theorems
- Conjugate subgroup, definition and related theorems
- Normal subgroup, definition and related theorems
- Factor or quotient group, definition and related theorem
- 1st isomorphism theorem, related theorem
- 2nd isomorphism theorem
- 3rd isomorphism theorem
- Endomorphism, automorphism, definition and related theorem
- Conjugation as an automorphism
- Inner and outer automorphism, definition and related theorems
- Commutator of a group, definition and related theorem
- Derive group or commutative group, definition and related theorem
- Direct product of groups, definition and related theorems
- Invariant subgroup
- Characteristic subgroup

### DOWNLOAD LINKS

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**Groups_Handwritten_Notes.djvu ~ 3.56 MB**

**To view online [Click Here]**

### Notes of other papers

Page | Date | Tags |
---|---|---|

Advanced Analysis: Handwritten Notes | 2014/05/16 18:51 | msc notes |

Differential Geometry: Handwritten Notes | 2014/02/03 18:16 | msc, msc notes |

Fundamental of Complex Analysis (Solutions of Some Exercises) | 2014/05/31 18:39 | msc, msc notes |

Groups (Handwritten notes) | 2014/09/03 07:45 | msc, msc notes |

Metric Spaces (Notes) | 2014/09/03 07:47 | msc, msc notes |

Number Theory: Handwritten Notes | 2014/02/03 18:16 | msc, msc notes |

Number Theory: Notes by Anwar Khan | 2014/09/10 16:27 | msc, msc notes |

Operation Research: Handwritten Notes | 2014/02/03 18:16 | msc, msc notes |

Real Analysis (Notes by Prof. Syed Gul Shah) | 2014/02/03 18:16 | msc, msc notes |

Ring (Notes) by Prof. M. Dabeer Mughal | 2014/09/03 08:21 | msc, msc notes |

Rings (Handwritten notes) | 2014/09/03 08:17 | msc, msc notes |

Theory of Relativity & Analytic Dynamics: Handwritten Notes | 2014/10/18 13:10 | msc notes |

Topology Notes by Azhar Hussain | 2014/09/03 15:05 | msc, msc notes |

Vector Spaces (Handwritten notes) | 2014/09/03 08:12 | msc, msc notes |

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