Abstract algebra

Group
An algebra structure of set G & a binary operation* defined in G( G,*) is called a group if * satisfies the following postulates:
1 Associativity
        (a*b)*c=a*(b*c).  For every a,b,c€G
2 Existence of Identity
      e*a=a*e=a.       a€ G
3  Existence of inverse
     a*b=b*a=e

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