# 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 or View online

**Groups_Handwritten_Notes.pdf ~ 4.48 MB**

**Groups_Handwritten_Notes.djvu ~ 3.56 MB**

**To view online [Click Here]**

### Notes of other subjects

- Advanced Analysis: Handwritten Notes
- Algebra II by Syed Sheraz Asghar
- Complex Analysis (Easy Notes of Complex Analysis)
- Differential Geometry by Syed Hassan Waqas
- Differential Geometry: Handwritten Notes
- Fluid Mechanics I by Dr Rao Muzamal Hussain
- Fluid Mechanics II by Dr Rao Muzamal Hussain
- Functional Analysis by Mr. Tahir Hussain Jaffery
- Functional Analysis by Prof Mumtaz Ahmad
- Fundamental of Complex Analysis (Solutions of Some Exercises)
- General Topology by Raheel Ahmad
- Group Theory: Important Definitions and Results
- Groups (Handwritten notes)
- Linear Algebra: Important Definitions and Results
- Mathematical Method by Sir Muhammad Awais Aun
- Mathematical Statistics I by Muzammil Tanveer
- Mathematical Statistics II by Sir Haidar Ali
- Measure Theory Notes by Anwar Khan
- Mechanics (Easy Notes of Mechanics)
- Mechanics by Sir Nouman Siddique
- Metric Spaces (Notes)
- Number Theory by Dr Muhammad Umer Shuaib
- Number Theory: Handwritten Notes
- Number Theory: Notes by Anwar Khan
- Numerical Analysis by M Usman Hamid
- Numerical Analysis II
- Operation Research by Sir Haidar Ali
- Operation Research: Handwritten Notes
- Partial Differential Equations
- Real Analysis (Notes by Prof. Syed Gul Shah)
- Ring (Notes) by Prof. M. Dabeer Mughal
- Rings (Handwritten notes)
- Special Functions by Dr. Muhey-U-Din
- Theory of Optimization by Ma'am Iqra Razzaq
- Theory of Relativity & Analytic Dynamics: Handwritten Notes
- Topology Notes by Azhar Hussain
- Topology: Handwritten Notes
- Vector Spaces (Handwritten notes)

- msc/notes/groups_handwritten_notes
- Last modified: 17 months ago
- by Administrator