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


Note by Rohit Singh
3 years, 7 months ago

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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

- 2 years, 7 months ago