Difference between revisions of "Template:Group theory sidebar"

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imported>Mr. Stradivarius
m (Reverted edits by 195.147.25.84 (talk) to last version by UtherSB)
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<includeonly>{{Sidebar with collapsible lists
+
{{Sidebar with collapsible lists
 
| name = Group theory sidebar
 
| name = Group theory sidebar
| class = plainlist
+
| style = width:20.0em;<!--no wider than 20.0em, please, for sake of smaller screens/windows-->{{{style_param|}}}
| style = {{{style_param|}}}
+
| titlestyle = {{#if:{{{image_param|}}} | |padding-bottom:0.4em;}}
| pretitlestyle = font-size:8pt; <!--font-weight:none;--> padding-bottom:0.3em
+
| title = <span style="font-size: 8pt; font-weight: none">[[Algebraic structure]] → '''Group theory'''</span><br>[[Group theory]]
| pretitle = [[Algebraic structure]] {{arrow/core|size=20}} [[Group theory]]
 
| titlestyle = {{#if:{{{image_param|}}} | |padding-bottom:0.5em}}
 
| title = [[Group theory]]
 
 
| image = {{{image_param|}}}
 
| image = {{{image_param|}}}
| listtitlestyle = text-align:center; border-bottom:1px solid #aaa
 
| liststyle = border-bottom:1px solid #aaa
 
 
| 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;
  
<!--------------------------->
 
  
| list1name = basics
+
<!----------------------- Basics ------------------------>
| list1title = [[Glossary of group theory|Basic notions]]
+
 
| list1 = <div class="hlist" style="margin-bottom:0.4em">
+
| list2name = Basics
 +
| list2title = [[Glossary of group theory|Basic notions]]
 +
| list2 = {{sidebar|navbar=off
 +
| bodystyle = {{subsidebar bodystyle}}
 +
| content1 =  
 
* [[Subgroup]]
 
* [[Subgroup]]
 
* [[Normal subgroup]]
 
* [[Normal subgroup]]
 +
 
* [[Quotient group]]
 
* [[Quotient group]]
* [[Semidirect product|(Semi-)]]&#8201;[[Direct product of groups|direct product]]
+
* [[Semidirect product|(Semi-)]][[Direct product of groups|direct product]]
</div> ''[[Group homomorphism]]s''
+
 
<div class="hlist" style="margin-top:0.15em;border-top:1px solid #aaa">
+
| 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]]
 +
 
* [[Group scheme|additive]]
 
* [[Group scheme|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]]
</div>
 
  
<!--------------------------->
+
|content3 =
 +
* [[List of group theory topics]]
 +
 
 +
* [[Glossary of group theory]]
 +
}}
 +
 
  
| list2name = finite
+
<!----------------------- Finite ------------------------>
| list2title = [[Finite group]]s
 
| list2 =
 
<table style="margin:0 auto; text-align:left">
 
<tr><td colspan="4" style="margin:0.2em 0 0.1em; text-align:center"> [[Classification of finite simple groups]] </td></tr>
 
  
<tr><td style="width:6em; vertical-align:top;text-align:right"> [[Cyclic group|Cyclic]] </td>
+
| list3name = Finite
    <td style="width:2em; padding-left:0.5em"> <span style="font-size:90%">C</span><sub>''p''</sub> </td>
+
| list3title = [[Finite group]]s
    <td style="width:6em; vertical-align:top;text-align:right"> [[Symmetric group|Symmetric]] </td>
+
| list3 =
    <td style="width:2.25em; padding-left:0.5em"> <span style="font-size:90%">S</span><sub>''n''</sub> </td></tr>
+
{{longlink|style=line-height:1.15em; |[[Classification of finite simple groups|Classification of finite<br/>simple groups]]}}
<tr><td style="vertical-align:top;text-align:right"> [[Dihedral group|Dihedral]] </td>
+
* [[Cyclic group]] C<sub>''p''</sub>
    <td style="padding-left:0.5em"> <span style="font-size:90%">D</span><sub>''n''</sub> </td>
+
* [[Symmetric group]] S<sub>''n''</sub>
    <td style="vertical-align:top;text-align:right"> [[Alternating group|Alternating]] </td>
 
    <td style="padding-left:0.5em"> <span style="font-size:90%">A</span><sub>n</sub> </td></tr>
 
  
<tr><td style="vertical-align:top;text-align:right"> [[Mathieu group|Mathieu]] </td>
+
* [[Dihedral group]] D<sub>''n''</sub>
    <td colspan="3" style="padding-left:0.5em"><!--
+
* [[Alternating group]] A<sub>n</sub>
      --> [[Mathieu group M11|M<sub>11</sub>]]&nbsp;<!--
+
{{longlink |[[Mathieu group]]s {{hlist|[[Mathieu group M11|M<sub>11</sub>]]|[[Mathieu group M12|M<sub>12</sub>]]|[[Mathieu group M22|M<sub>22</sub>]]|[[Mathieu group M23|M<sub>23</sub>]]|[[Mathieu group M24|M<sub>24</sub>]]}}}}
      --> [[Mathieu group M12|M<sub>12</sub>]]&nbsp;<!--
+
{{longlink|style=line-height:1.15em; |[[Conway group]]s {{hlist|[[Conway group Co1|Co<sub>1</sub>]]|[[Conway group Co2|Co<sub>2</sub>]]|[[Conway group Co3|Co<sub>3</sub>]]}}}}
      --> [[Mathieu group M22|M<sub>22</sub>]]&nbsp;<!--
+
{{longlink|style=line-height:1.15em; |[[Janko group J1|Janko groups]] {{hlist|[[Janko group J1|J<sub>1</sub>]]|[[Hall–Janko group|J<sub>2</sub>]]|[[Janko group J3|J<sub>3</sub>]]|[[Janko group J4|J<sub>4</sub>]]}}}}
      --> [[Mathieu group M23|M<sub>23</sub>]]&nbsp;<!--
+
{{longlink|style=line-height:1.15em; |[[Fischer group]]s {{hlist|[[Fischer group Fi22|F<sub>22</sub>]]|[[Fischer group Fi23|F<sub>23</sub>]]|[[Fischer group Fi24|F<sub>24</sub>]]}}}}
      --> [[Mathieu group M24|M<sub>24</sub>]] </td></tr>
+
* [[Baby Monster group]] (B)
<tr><td style="vertical-align:top;text-align:right"> [[Conway group|Conway]] </td>
 
    <td colspan="3" style="padding-left:0.5em"><!--
 
      --> [[Conway group Co1|Co<sub>1</sub>]]&nbsp;<!--
 
      --> [[Conway group Co2|Co<sub>2</sub>]]&nbsp;<!--
 
      --> [[Conway group Co3|Co<sub>3</sub>]] </td></tr>
 
<tr><td style="vertical-align:top;text-align:right"> [[Janko group J1|Janko]] </td>
 
    <td colspan="3" style="padding-left:0.5em"><!--
 
      --> [[Janko group J1|J<sub>1</sub>]]&nbsp;&nbsp;<!--
 
      --> [[Hall–Janko group|J<sub>2</sub>]]&nbsp;&nbsp;<!--
 
      --> [[Janko group J3|J<sub>3</sub>]]&nbsp;&nbsp;<!--
 
      --> [[Janko group J4|J<sub>4</sub>]] </td></tr>
 
<tr><td style="vertical-align:top;text-align:right"> [[Fischer group|Fischer]] </td>
 
    <td colspan="3" style="padding-left:0.5em"><!--
 
      --> [[Fischer group Fi22|F<sub>22</sub>]]&nbsp;<!--
 
      --> [[Fischer group Fi23|F<sub>23</sub>]]&nbsp;<!--
 
      --> [[Fischer group Fi24|F<sub>24</sub>]] </td></tr>
 
  
<tr><td style="vertical-align:top;text-align:right"> [[Monster group|Monster]] </td>
+
* [[Monster group]] (M)
    <td style="font-size:90%;padding-left:0.5em"> M </td>
 
    <td style="vertical-align:top;text-align:right"> [[Baby Monster group|Baby Monster]] </td>
 
    <td style="font-size:90%;padding-left:0.5em"> B </td></tr>
 
</table>
 
  
<!--------------------------->
 
  
| list3name = discrete
+
<!---------------------- Discrete ----------------------->
| list3title = {{hlist |[[Discrete group]]s |[[Lattice (discrete subgroup)|Lattice]]s}}
+
 
| list3class = hlist
+
| list4name = Discrete
| list3 =
+
| list4title = {{hlist |[[Discrete group]]s |[[Lattice (discrete subgroup)|Lattice]]s}}
* [[Integer]]s&nbsp;{{smaller|('''Z''')}}
+
| list4 =
 +
* [[Integer]]s ('''Z''')
 
* [[Lattice (group)|Lattice]]
 
* [[Lattice (group)|Lattice]]
* <br/>[[Modular group|Modular]]
+
{{longlink |[[Modular group]]s {{hlist|PSL(2,'''Z''')|SL(2,'''Z''')}}}}
** {{smaller|PSL(2,'''Z''')
 
**  SL(2,'''Z''')}}
 
  
<!--------------------------->
 
  
| list4name = top/lie
+
<!----------------- Topological / Lie ------------------->
| list4title = [[Topological group|Topological]]{{\}}[[Lie group]]s
+
 
| list4 =
+
| list5name = Topological
<table style="margin:0 auto 0.2em; text-align:center; line-height:1.3em">
+
| list5title = [[Topological group|Topological]]{{\}}[[Lie group]]s
<tr><td style="width:6em; vertical-align:top;text-align:right"> [[General linear group|General linear]] </td>
+
| list5 =
    <td style="width:2.8em; font-size:90%;padding-left:0.2em;text-align:left"> GL(''n'') </td>
 
    <td style="width:6em; vertical-align:top;text-align:right"> [[Special linear group|Special linear]] </td>
 
    <td style="width:1.8em; font-size:90%;padding-left:0.2em;text-align:left"> SL(''n'') </td></tr>
 
<tr><td style="vertical-align:top;text-align:right"> [[Orthogonal group|Orthogonal]] </td>
 
    <td style="font-size:90%;padding-left:0.2em;text-align:left"> O(''n'') </td>
 
    <td style="vertical-align:top;text-align:right"> [[<!--Special -->orthogonal group|Special orthog.]] </td>
 
    <td style="font-size:90%;padding-left:0.2em;text-align:left"> SO(''n'') </td></tr>
 
<tr><td style="vertical-align:top;text-align:right"> [[Unitary group|Unitary]] </td>
 
    <td style="font-size:90%;padding-left:0.2em;text-align:left"> U(''n'') </td>
 
    <td style="vertical-align:top;text-align:right"> [[Special unitary group|Special unitary]] </td>
 
    <td style="font-size:90%;padding-left:0.2em;text-align:left"> SU(''n'') </td></tr>
 
<tr><td style="vertical-align:top;text-align:right"> [[Symplectic group|Symplectic]] </td>
 
    <td style="font-size:90%;padding-left:0.2em;text-align:left"> Sp(''n'') </td>
 
    <td style="vertical-align:top;text-align:right"> [[Euclidean group|Euclidean]] </td>
 
    <td style="font-size:90%;padding-left:0.2em;text-align:left"> E(''n'') </td></tr>
 
<tr><td colspan="4" class="hlist" style="padding-top:0.3em">
 
 
* [[Solenoid (mathematics)|Solenoid]]
 
* [[Solenoid (mathematics)|Solenoid]]
 
* [[Circle group|Circle]]
 
* [[Circle group|Circle]]
    </td></tr>
+
 
<tr><td colspan="4" class="hlist">
+
* [[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>]]
    </td></tr>
+
 
<tr><td colspan="4" class="hlist">
 
 
* [[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]]
    </td></tr>
+
{{longlink |[[Infinite dimensional Lie group]] {{hlist|O(∞)|SU(∞)|Sp(∞)}}}}
<tr><td colspan="4" class="hlist">
+
 
* [[Diffeomorphism]]
 
    </td></tr>
 
<tr><td colspan="4" class="center" style="font-size:90%;padding:0.4em 0 0.1em;line-height:1.2em;"> [[Infinite dimensional Lie group|<span style="font-size:110%">Infinite dimensional Lie group</span><br/> O(<span style="font-size:140%"></span>)&nbsp; SU(<span style="font-size:140%"></span>)&nbsp; Sp(<span style="font-size:140%"></span>)]] </td></tr>
 
</table>
 
  
<!--------------------------->
+
<!--------------------- Algebraic ----------------------->
  
| list5name = algebraic
+
| list6name = Algebraic
| list5title = [[Algebraic group]]s
+
| list6title = [[Algebraic group]]s
| list5 =
+
| list6 =
 
* [[Elliptic curve]]
 
* [[Elliptic curve]]
 +
 
* [[Linear algebraic group]]
 
* [[Linear algebraic group]]
 +
 
* [[Abelian variety]]
 
* [[Abelian variety]]
  
<!--------------------------->
 
  
| belowclass = hlist
+
}}<noinclude>
| belowstyle = margin-top:0; border:none; padding-top:0
 
| below =
 
* [[List of group theory topics|List of topics]]
 
* [[Glossary of group theory|Glossary]]
 
  
}}</includeonly><noinclude>
+
{{collapsible lists option
{{Documentation
+
|listnames = Basics, Finite, Discrete, Topological, Algebraic
| content = {{Group theory sidebar}}
 
{{Collapsible lists option
 
| listnames = {{hlist|basics|finite|discrete|top/lie|algebraic}}
 
| example = top/lie
 
 
}}
 
}}
  
 
[[Category:Mathematics sidebar templates]]
 
[[Category:Mathematics sidebar templates]]
 
[[Category:Physics sidebar templates]]
 
[[Category:Physics sidebar templates]]
}}</noinclude>
+
 
 +
</noinclude>

Revision as of 23:28, 24 February 2015

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