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

1. .Sam.

Group 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)

2. anonymous

|dw:1436597376768:dw|

3. zzr0ck3r

no

4. zzr0ck3r

A 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))

5. perl

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