GROUP THEORY AN ABTRACT CONCEPT..

Definition..a group G is a mathematical object .

Defined as a non empty set G with a binary operation (*) and satisfy below 4 properties

 1) closure 
   a*b=c , a,b,c €G

  2) associativity a+(b+c)=(a+b)+c

  3)G have identity element e which is unique
        such   that
       a*e=e*a=a

     4) have inverse of each element such that
         a*b=e        for all a,b €G

#Algebra

Easy Math Editor

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Comments

Closure property is that ab $\in$ G whenever a,b $\in$ G and associativity is a(bc)=(ab)c whenever a,b,c $\in$ G

Meghna Tanwal - 5 years, 6 months ago

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$