1. Groups; definition and examples 1
2. Order of group, order of element 3
3. Periodic group, mixed group 4
4. Subgroup 6
5. Invalution 8
6. Relation between groups, homomorphism, monomorphism, epimorphism, isomorphism,
endomorphism, examples and related theorem 9
7. Kernel, definition and related theorems 13
8. Cyclic group, related theorems 18
9. Complex in a group, product of complexes and related theorems 24
10. Coset, definition and examples 30
11. Index of subgroup, Lagrange’s theorem 31
12. Double coset, related theorem 33
13. Normalizer, definition and related theorems 34
14. Centralizer, centre of group, related theorem 36
15. Conjugate or transform of a group, definition and related theorems 37
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Groups:Partial Contents
