This shows you the differences between two versions of the page.
Both sides previous revision Previous revision | Last revision Both sides next revision | ||
advanced_tools:group_theory [2020/04/02 15:01] 130.246.243.49 Fix degree symbols |
advanced_tools:group_theory [2020/09/05 11:04] luan [Concrete] |
||
---|---|---|---|
Line 38: | Line 38: | ||
-->$(G,\circ) = (\mathbb{Z},+)$# | -->$(G,\circ) = (\mathbb{Z},+)$# | ||
- | On of the simplest examples of a group is to take as the set $G$ the integer numbers $\mathbb{Z}$ . The group operations is then simply addition $\circ = +$. | + | One of the simplest examples of a group is to take as the set $G$ the integer numbers $\mathbb{Z}$ . The group operations is then simply addition $\circ = +$. |
The first check we have to perform is closure. If we take two elements of $\mathbb{Z}$ | The first check we have to perform is closure. If we take two elements of $\mathbb{Z}$ |