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Jan Meyer
2026-03-09 23:52:22 +01:00
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DAS/Groups.md
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Groups are Closures that have the following properties:
## Internal Composition law
$$
1. **closure**: Every element which is a result of the binary operation of the group is part of the group
2. **associativity**: changing the order of operations doesn't change the result
3. **identity**: there is a neutral element ($0$ in addition, $1$ in multiplication)
4. **inverses**: every element has a element when combined results in the identity element ($+5 + (-5) = 0$)