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v • d • e Group theory

Overview of the basic and important objects of group theory - a branch of abstract algebra

Primitives	semigroup [ilmath]\supset[/ilmath] monoid [ilmath]\supset[/ilmath] group [ilmath]\supset[/ilmath] Abelian group (AKA: commutative group), group action

Morphisms	Group homomorphism, Group isomorphism

Subobjects	subgroup, normal subgroup, cosets

Important theorems	First isomorphism theorem, second isomorphism theorem, third isomorphism theorem (overview of the group isomorphism theorems)

Important groups	Symmetric group (Permutation group), Alternating group, Dihedral group, Quaternion group, Klein-4 group

Todo (Navbox project): Get this filled in

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