Group Theory (subject)

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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
Subobjects
Important theorems
Important groups

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Abstract algebra
Overview of the basic and important objects of abstract algebra
Single operation objects
semigroup [ilmath]\supset[/ilmath] monoid [ilmath]\supset[/ilmath] group
Commutative single operation objects
Related objects of semigroups
(thus all monoids and groups too)
Entire semigroup: Centre, Subsemigroup, Order
Of subset: Centraliser, stability, Generator
Of element: Orbit, Generator, Order
Related objects of monoids
(thus all groups too)
Related objects of groups
Important group theorems
Mappings between semigroups
(thus between monoids and groups too)
Constructing new semigroups from old
Group constructions
Objects related to mappings between groups
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