1. By S. Joshi

2. Content Binary Structures & Group Subgroup Isomorphism Rings Fields

3. Source 1. Engineering Maths 2. Cracking the Subject GRE Math by Princeton 3. RAE GRE Math

4. Binary Structures & Group Binary operation & structure Semi group Monoid Group Examples of group (all, imp from exam point of view) Example of groups Cyclic (Klein four group or Vier gruppe)

5. Subgroup Cyclic Sub group (complex number) e Monoid (with inverse ) Generator and relation Some theorems Binary property / commutative (Albean)

6. Example General Linear Group

7. Multiplication Table

8. Additive group of integers modulo n

9. Finite Abelian group

10. Isomorphism Classification of finite abelian group Group homomorphism Types of morphoism Many questions

11. Rings Three properties Example Ring homomorphism

12. Integral Domains

13. Fields Unit

14. References Cracking the subject GRE Math