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anonymous
 one year ago
what is the definition of group?
anonymous
 one year ago
what is the definition of group?

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.Sam.
 one year ago
Best ResponseYou've already chosen the best response.0Group is an algebraic structure consisting of a set of elements together with an operation that combines any two elements to form a third element. https://en.wikipedia.org/wiki/Group_(mathematics)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1436597376768:dw

zzr0ck3r
 one year ago
Best ResponseYou've already chosen the best response.1A group is a set G with an operation * s.t. 1) there is an element e s.t. g*e = g for all g in G 2) for all g in G there is an element g^1 s.t. g*g^1 = g^1*g = e 3) for all a,b in G a*b is in G So For the natural number \(\mathbb{N}=\{1,2,3,4,5,...\}\) and addition \(+\) look at number 2) Consider \(2\in \mathbb{N}\). Is there a natural number s.t. when added to \(2\) you get \(0\) (\(0\) is e from 1))
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