By S. Joshi. Content Binary Structures & Group Subgroup Isomorphism Rings Fields.

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Presentation transcript:

By S. Joshi

Content Binary Structures & Group Subgroup Isomorphism Rings Fields

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

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)

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

Example General Linear Group

Multiplication Table

Additive group of integers modulo n

Finite Abelian group

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

Rings Three properties Example Ring homomorphism

Integral Domains

Fields Unit

References Cracking the subject GRE Math