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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
2 years, 9 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 Meghna Tanwal · 1 year, 9 months ago

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