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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
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
Categories
:
Navboxes
Abstract Algebra
Group Theory
Todo: Navbox project
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