Difference between revisions of "Template:Group theory sidebar"
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imported>Fruits Monster m (fixed Cauchy's theorem.) |
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| − | + | {{Sidebar with collapsible lists | |
| name = Group theory sidebar | | name = Group theory sidebar | ||
| − | + | | style = width:20.0em;<!--no wider than 20.0em, please, for sake of smaller screens/windows-->{{{style_param|}}} | |
| − | | style = | + | | titlestyle = {{#if:{{{image_param|}}} | |padding-bottom:0.4em;}} |
| − | + | | title = <span style="font-size: 8pt; font-weight: none">[[Algebraic structure]] → '''Group theory'''</span><br>[[Group theory]] | |
| − | + | | image =[[File:Cyclic group.svg|120px]] | |
| − | | titlestyle = {{#if:{{{image_param|}}} | |padding-bottom:0. | ||
| − | | title = [[Group theory]] | ||
| − | | image = | ||
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| − | | | ||
| expanded = {{{cTopic|{{{expanded|{{{1|}}}}}}}}} | | expanded = {{{cTopic|{{{expanded|{{{1|}}}}}}}}} | ||
| + | | listclass = hlist | ||
| + | | listtitlestyle = font-size:110%; | ||
| + | | liststyle = border-top:1px solid #aaa;border-bottom:1px solid #aaa; | ||
| − | <!---------------------------> | + | <!----------------------- Basics ------------------------> |
| − | | | + | | list2name = Basics |
| − | | | + | | list2title = Basic notions |
| − | | | + | | list2 = {{sidebar|navbar=off |
| + | | bodystyle = {{subsidebar bodystyle}} | ||
| + | | content1 = | ||
* [[Subgroup]] | * [[Subgroup]] | ||
* [[Normal subgroup]] | * [[Normal subgroup]] | ||
| + | |||
* [[Quotient group]] | * [[Quotient group]] | ||
| − | * [[Semidirect product|(Semi-)]] | + | * [[Semidirect product|(Semi-)]][[Direct product of groups|direct product]] |
| − | + | ||
| − | + | | heading2 = ''[[Group homomorphism]]s'' | |
| + | | content2 = | ||
* [[Kernel (algebra)#Group homomorphisms|kernel]] | * [[Kernel (algebra)#Group homomorphisms|kernel]] | ||
* [[Image (mathematics)|image]] | * [[Image (mathematics)|image]] | ||
* [[Direct sum of groups|direct sum]] | * [[Direct sum of groups|direct sum]] | ||
| + | |||
* [[wreath product]] | * [[wreath product]] | ||
* [[Simple group|simple]] | * [[Simple group|simple]] | ||
* [[Finite group|finite]] | * [[Finite group|finite]] | ||
| + | |||
* [[Infinite group|infinite]] | * [[Infinite group|infinite]] | ||
* [[Continuous group|continuous]] | * [[Continuous group|continuous]] | ||
* [[Multiplicative group|multiplicative]] | * [[Multiplicative group|multiplicative]] | ||
| − | * [[ | + | |
| + | * [[Additive group|additive]] | ||
* [[Cyclic group|cyclic]] | * [[Cyclic group|cyclic]] | ||
* [[Abelian group|abelian]] | * [[Abelian group|abelian]] | ||
* [[Dihedral group|dihedral]] | * [[Dihedral group|dihedral]] | ||
| + | |||
* [[Nilpotent group|nilpotent]] | * [[Nilpotent group|nilpotent]] | ||
* [[Solvable group|solvable]] | * [[Solvable group|solvable]] | ||
| − | |||
| − | <!---------------------------> | + | |content3 = |
| + | * [[Glossary of group theory]] | ||
| + | * [[List of group theory topics]] | ||
| + | }} | ||
| + | |||
| + | <!----------------------- Finite ------------------------> | ||
| + | |||
| + | | list3name = Finite | ||
| + | | list3title = [[Finite group]]s | ||
| + | | list3 = {{sidebar|navbar=off | ||
| + | | bodystyle = {{subsidebar bodystyle}} | ||
| + | |||
| + | | heading1 = [[Classification of finite simple groups]] | ||
| + | | content1 = | ||
| + | * [[Cyclic group|cyclic]] | ||
| + | * [[Alternating group|alternating]] | ||
| + | * [[Group of Lie type|Lie type]] | ||
| + | * [[Sporadic group|sporadic]] | ||
| + | |||
| + | | content2 = | ||
| + | * [[Cauchy's theorem (group theory)|Cauchy's theorem]] | ||
| + | * [[Lagrange's theorem (group theory)|Lagrange's theorem]] | ||
| + | |||
| + | * [[Sylow theorems]] | ||
| + | * [[Hall subgroup|Hall's theorem]] | ||
| + | |||
| + | * [[p-group]] | ||
| + | * [[Elementary abelian group]] | ||
| + | |||
| + | * [[Frobenius group]] | ||
| + | |||
| + | * [[Schur multiplier]] | ||
| − | | | + | | content3 = |
| − | |||
| − | |||
| − | |||
| − | |||
| − | + | * [[Symmetric group]] S<sub>''n''</sub> | |
| − | |||
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| − | |||
| − | |||
| − | + | * [[Klein four-group]] V | |
| − | + | * [[Dihedral group]] D<sub>''n''</sub> | |
| − | + | * [[Quaternion group]] Q | |
| − | + | * [[Dicyclic group]] Dic<sub>''n''</sub> | |
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| − | + | }} | |
| − | |||
| − | |||
| − | |||
| − | |||
| − | <!---------------------------> | + | <!---------------------- Discrete -----------------------> |
| − | | | + | | list4name = Discrete |
| − | | | + | | list4title = {{hlist |[[Discrete group]]s |[[Lattice (discrete subgroup)|Lattice]]s}} |
| − | | | + | | list4 = |
| − | + | * [[Integer]]s ('''Z''') | |
| − | * [[ | + | * [[Free group]] |
| + | {{longlink |[[Modular group]]s {{hlist|PSL(2,'''Z''')|SL(2,'''Z''')}}}} | ||
| + | * [[Arithmetic group]] | ||
* [[Lattice (group)|Lattice]] | * [[Lattice (group)|Lattice]] | ||
| − | * | + | * [[Hyperbolic group]] |
| − | |||
| − | |||
| − | <!---------------------------> | + | <!----------------- Topological and Lie -------------------> |
| − | | | + | | list5name = Topological |
| − | | | + | | list5title = [[Topological group|Topological]] and [[Lie group]]s |
| − | | | + | | list5 = |
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* [[Solenoid (mathematics)|Solenoid]] | * [[Solenoid (mathematics)|Solenoid]] | ||
* [[Circle group|Circle]] | * [[Circle group|Circle]] | ||
| − | + | ||
| − | + | * [[General linear group|General linear]] GL(''n'') | |
| + | |||
| + | * [[Special linear group|Special linear]] SL(''n'') | ||
| + | |||
| + | * [[Orthogonal group|Orthogonal]] O(''n'') | ||
| + | |||
| + | * [[Euclidean group|Euclidean]] E(''n'') | ||
| + | |||
| + | * [[Special orthogonal group|Special orthogonal]] SO(''n'') | ||
| + | |||
| + | * [[Unitary group|Unitary]] U(''n'') | ||
| + | |||
| + | * [[Special unitary group|Special unitary]] SU(''n'') | ||
| + | |||
| + | * [[Symplectic group|Symplectic]] Sp(''n'') | ||
| + | |||
* [[G2 (mathematics)|G<sub>2</sub>]] | * [[G2 (mathematics)|G<sub>2</sub>]] | ||
* [[F4 (mathematics)|F<sub>4</sub>]] | * [[F4 (mathematics)|F<sub>4</sub>]] | ||
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* [[E7 (mathematics)|E<sub>7</sub>]] | * [[E7 (mathematics)|E<sub>7</sub>]] | ||
* [[E8 (mathematics)|E<sub>8</sub>]] | * [[E8 (mathematics)|E<sub>8</sub>]] | ||
| − | + | ||
| − | |||
* [[Lorentz group|Lorentz]] | * [[Lorentz group|Lorentz]] | ||
* [[Poincaré group|Poincaré]] | * [[Poincaré group|Poincaré]] | ||
* [[Conformal group|Conformal]] | * [[Conformal group|Conformal]] | ||
| + | |||
| + | * [[Diffeomorphism]] | ||
* [[Loop group|Loop]] | * [[Loop group|Loop]] | ||
| − | + | {{longlink |[[Infinite dimensional Lie group]] {{hlist|O(∞)|SU(∞)|Sp(∞)}}}} | |
| − | |||
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| − | |||
| − | <!---------------------------> | + | <!--------------------- Algebraic -----------------------> |
| − | | | + | | list6name = Algebraic |
| − | | | + | | list6title = [[Algebraic group]]s |
| − | | | + | | list6 = |
| − | |||
* [[Linear algebraic group]] | * [[Linear algebraic group]] | ||
| + | |||
| + | * [[Reductive group]] | ||
| + | |||
* [[Abelian variety]] | * [[Abelian variety]] | ||
| − | + | * [[Elliptic curve]] | |
| − | + | }}<noinclude> | |
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| − | |||
| − | + | {{collapsible lists option | |
| − | {{ | + | |listnames = Basics, Finite, Discrete, Topological, Algebraic |
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| − | | listnames = | ||
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}} | }} | ||
[[Category:Mathematics sidebar templates]] | [[Category:Mathematics sidebar templates]] | ||
[[Category:Physics sidebar templates]] | [[Category:Physics sidebar templates]] | ||
| − | + | ||
| + | </noinclude> | ||
Latest revision as of 15:04, 18 July 2020
| Algebraic structure → Group theory Group theory |
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Infinite dimensional Lie group
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This template includes collapsible lists.
- • To set it to display all lists when it appears (i.e. all lists expanded), use:
-
{{Group theory sidebar |expanded=all}}or, if enabled,{{Group theory sidebar |all}}(i.e. omitting "expanded=").
- • To set it to display one particular list while keeping the remainder collapsed (i.e. hidden apart from their headings), use:
-
{{Group theory sidebar |expanded=listname}}or, if enabled,{{Group theory sidebar |listname}} - …where listname is one of the following (do not include any quotemarks):
- Basics, Finite, Discrete, Topological, Algebraic