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devarajkandadai 2004-12-16 02:53

Maths Tutorials -I
 
What has prompted me to submit this is the minimal response to Maths Quiz-II.

GROUP THEORY

A Group consists of only two things:

1) A Set and 2) an operation.

The operation can be plain addition,plain multiplication,Matrix addition or multiplication, or any other operation to be explicitly specified.

Now the following conditions must be fulfilled:

1) An operation on a member of the set must yield a member of the set
(This property is called CLOSURE )
2) Must have ASSOCIATIVE property
3) Must have a Neutral or IDENTITY element

4)Existence of INVERSE
Collectively this can be remembered by acronym: CAIN

Populaar example: Integers with operation: addition

Will be only too happy to elucidate further.

A.K. Devaraj


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