#noindex
## =군,group =,group .
WtEn:group

[[군론,group_theory]] =군론,group_theory =,group_theory . 군론 group_theory
{

WtEn:group_theory

WpSp:Group_theory
WpEn:Group_theory


Sub:
[[combinatorial_group_theory]]

Up: [[군,group]] [[이론,theory]]
분야 [[추상대수,abstract_algebra]]?

} // group theory .... Ndict:군론 Ndict:"group theory" Ggl:군론 Ggl:"group theory"

----
Sub:
[[호모토피군,homotopy_group]]
----
<<tableofcontents>>
= Sub =
== trivial group / zero group ==
trivial_group = zero_group (we)
trivial_group 의 한 예가 zero_group (MW)
https://mathworld.wolfram.com/TrivialGroup.html
https://mathworld.wolfram.com/ZeroGroup.html
https://en.wikipedia.org/wiki/Trivial_group
 cmp:
 [[trivial_monoid]]
 [[trivial_ring]]

Up: [[영,zero]]

Ggl:"trivial group zero group"

== additive group ==
https://mathworld.wolfram.com/AdditiveGroup.html
[[module]], [[abstract_vector_space]]s, [[대수,algebra]]는 모두 '''additive groups'''.

[[덧셈,addition]]

WtEn:additive_group
WpEn:Additive_group

Ggl:"additive group"

KmsE:"additive group" ?

== multiplicative group 곱셈군 ==
곱셈군
multiplicative group
[[곱셈군,multiplicative_group]] ''— curr at [[프로덕트,product?action=highlight&value=multiplicative_group]]''

== Lie group 리 군 ==
[[리_군,Lie_group]] =리_군,Lie_group =,Lie_group . 리_군 Lie_group

Lie group
리 군

//mw
{
[[매끄러운다양체,smooth_manifold]]
}

MKL
[[리_대수,Lie_algebra]]

------------
[[WtEn:Lie_group]] = https://en.wiktionary.org/wiki/Lie_group
{
Up(Hyper):
[[topological_group]] ... WtEn:topological_group = http://en.wiktionary.org/wiki/topological_group

Sub(Hypo):
[[circle_group]] ... WtEn:circle_group = http://en.wiktionary.org/wiki/circle_group
[[Moebius_group]] ... WtEn:Moebius_group = http://en.wiktionary.org/wiki/Moebius_group
}
----
https://mathworld.wolfram.com/LieGroup.html
https://mathworld.wolfram.com/Lie-TypeGroup.html
[[Namu:리%20군]] = https://namu.wiki/w/리%20군
[[https://terms.naver.com/entry.naver?docId=6512715&cid=60207&categoryId=60207 수학백과: 리 군]]

[[WpEn:Lie_group]] = https://en.wikipedia.org/wiki/Lie_group

[[WpKo:리_군]] = https://ko.wikipedia.org/wiki/리_군

https://everything2.com/title/lie+group
(very long)

https://ncatlab.org/nlab/show/Lie+group

https://encyclopediaofmath.org/wiki/Lie_group
/// cf.
{
https://encyclopediaofmath.org/wiki/Lie_group,_local - ''local analytic group'' // analytic_group
https://encyclopediaofmath.org/wiki/Lie_transformation_group
https://encyclopediaofmath.org/wiki/Lie_group,_p-adic
https://encyclopediaofmath.org/wiki/Lie_group,_semi-simple
https://encyclopediaofmath.org/wiki/Lie_group,_compact
}

Up: [[군,group]]

Ndict:"Lie group" Bing:"Lie group" Ggl:"Lie group"
Lie+group

== 가환군 commutative grup = 아벨 군 abelian group ==
[[가환군,commutative_group]]
[[아벨_군,abelian_group]]

== ADDHERE new group ==
== ADDHERE new group ==
== ADDHERE new group ==
== ADDHERE new group ==
== ADDHERE new group ==
== ADDHERE new group ==
== ADDHERE new group ==
== ADDHERE new group ==
== ADDHERE new group ==

= MKL =
[[마그마,magma]]
[[그루포이드,groupoid]] - curr at [[마그마,magma]]
[[모노이드,monoid]]
[[환,ring]]
[[체,field]]
module ( [[가군,module]] [[모듈,module]] ) - curr at [[추상대수,abstract_algebra]] 에서 algebraic_structure 편집중인 곳

----
Ndict:"군"

Up:
[[추상대수,abstract_algebra]] > [[대수구조,algebraic_structure]]