Notes on lesson on Elementary Group Theory | kullabs.com

Elementary Group Theory

Notes

Introduction,Binary Operation and its Properties

This note gives you the knowledge on Binary operation and its properties.

Composition table or Operation Table or Cayley's Table,Examples of Binary operations

This note gives you the knowledge on Operation table and some examples of Binary operation.

Algebraic Structures,Group, Examples on Group

This note gives the knowledge on algebraic structures and group and the axioms necessary to prove that a given operation forms a group.

Groups with elements other than numbers,Permutation and Matrix group,Example

This note gives you the knowledge about Groups with elements other than numbers (Permutation group, Matrix group) and also has some solved solution on problems related to a group.

Elementary Properties of Group, Uniqueness of identity element,Uniqueness of inverse element,Cancellation law

This note gives you the knowledge on Elementary Properties of Group, Uniqueness of identity element,Uniqueness of inverse element,Cancellation law.