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Dragon Hellfire
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DIR Return to: Algebra
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#Post#: 91--------------------------------------------------
Group Theory
DIR By: Dragon Hellfire
Date: April 2, 2019, 9:49 pm
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Definition: Let G be a set of elements equipped with an operator
'*'. Then, G is a group if the following four properties hold:
Axioms
- Closure under *
- Associativity under *
- There exists an identity element under *
- There exists inverses for all elements under *
Types
- Abelian/Commutative
-
Examples
(1) Integers under addition
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