Kiran Asked a Question
September 29, 2020 10:37 ampts 30 pts
we now consider a few examples of systems that form groups (or do not form groups). BXample 1: The set Z of integers forms an abelian group w.r.t. the usual addition of integers. lt is easy to verify the postulates in the definition of a group as sum of two integers 1S a unique integer (thuc loc
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  • Piyush thankyou
    It is very easy to verify this Closure holds(clearly) 0 is in Z addition is associative. identity is 0. inverse of a is -a a+b = b+a( abellian) Implies Z is a group under addition...
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  • Deepak singh thankyou
    see attached proof , (Z,+) is abelian group..
    • cropped5778317567399432025.jpg
    • cropped7559538979392622369.jpg
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    Deepak singh
    here G = Z
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