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| msc:notes:groups_handwritten_notes [2021/02/07 16:48] – created - external edit 127.0.0.1 | msc:notes:groups_handwritten_notes [2022/08/09 18:47] (current) – removed Dr. Atiq ur Rehman | ||
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| - | ====== Groups (Handwritten notes) ====== | ||
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| - | ^ Name |Groups (Handwritten notes)- Lecture Notes | | ||
| - | ^ Author(s) | ||
| - | ^ Pages |82 pages | | ||
| - | ^ Format | ||
| - | ^ Size |PDF: 4.48MB, DjVu: 3.56MB | | ||
| - | < | ||
| - | </ | ||
| - | </ | ||
| - | ==== CONTENTS OR SUMMARY: | ||
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| - | * Groups; definition and examples | ||
| - | * Order of group, order of element | ||
| - | * Periodic group, mixed group | ||
| - | * Subgroup | ||
| - | * Invalution | ||
| - | * Relation between groups, homomorphism, | ||
| - | * 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' | ||
| - | * Double coset, related theorem | ||
| - | * Normalizer, definition and related theorems | ||
| - | * Centralizer, | ||
| - | * 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, | ||
| - | * Conjugation as an automorphism | ||
| - | * Inner and outer automorphism, | ||
| - | * 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 ==== | ||
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| - | * **Groups_Handwritten_Notes.pdf ~ 4.48 MB** | ||
| - | * DWN **[[mathcity> | ||
| - | * DWN **[[http:// | ||
| - | |||
| - | * **Groups_Handwritten_Notes.djvu ~ 3.56 MB** | ||
| - | * DWN **[[mathcity> | ||
| - | * DWN **[[https:// | ||
| - | |||
| - | * **To view online | ||
| - | |||
| - | ====Notes of other subjects==== | ||
| - | {{topic> | ||
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