Hello everyone!
Myself Zeeshan haider,
Today I brought notes of Group theory for BSC's students.
HERE ARE THE CONTENTS OF THE NOTES.
CONTENTS;
Groups; definition and examples
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
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