Template:Group theory sidebar: Difference between revisions

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| 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 = width:20.0em;<!--no wider than 20.0em, please, for sake of smaller screens/windows-->{{{style_param|}}}
| titlestyle = {{#if:{{{image_param|}}} | |padding-bottom:0.4em;}}
| 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]]
 
| title = <span style="font-size: 8pt; font-weight: none">[[बीजगणितीय संरचना]] → '' 'समूह सिद्धांत' ''</span><br>[[समूह सिद्धांत]]
| image =[[File:Cyclic group.svg|120px]]
| image =[[File:Cyclic group.svg|120px]]
| expanded = {{{cTopic|{{{expanded|{{{1|}}}}}}}}}
| expanded = {{{cTopic|{{{expanded|{{{1|}}}}}}}}}
| listclass = hlist
| listclass = hlist
| listtitlestyle = background:transparent;border-top:1px solid #aaa;text-align:center;
| listtitlestyle = background:transparent;border-top:1px solid #aaa;text-align:center;
| liststyle = border-top:1px solid #aaa;border-bottom:1px solid #aaa;
| liststyle = border-top:1px solid #aaa;border-bottom:1px solid #aaa;


<!----------------------- Basics ------------------------>
<!----------------------- Basics ------------------------>


| list2name = Basics
| list2name = Basics
| list2title = Basic notions
 
| list2 = {{sidebar|navbar=off
| list2title =बुनियादी धारणाएँ
| list2 = {{sidebar
|navbar=off
  | bodystyle = {{subsidebar bodystyle}}
  | bodystyle = {{subsidebar bodystyle}}
  | content1 =  
   
* [[Subgroup]]
| content1 =* [[उपसमूह]]
* [[Normal subgroup]]
* [[सामान्य उपसमूह]]


* [[Quotient group]]
* [[भागफल समूह]]
* [[Semidirect product|(Semi-)]][[Direct product of groups|direct product]]
* [[अर्धविराम उत्पाद | (अर्ध-)]] [[समूहों का प्रत्यक्ष उत्पाद | प्रत्यक्ष उत्पाद]]
| heading2 ='' [[समूह समरूपता]] ''
| content2 =* [[कर्नेल (बीजगणित) #group होमोमोर्फिज्म | कर्नेल]]
* [[छवि (गणित) | छवि]]
* [[समूहों का प्रत्यक्ष योग | प्रत्यक्ष योग]]


| heading2 = ''[[Group homomorphism]]s''
* [[पुष्पांजलि उत्पाद]]
| content2 =
* [[सरल समूह | सरल]]
* [[Kernel (algebra)#Group homomorphisms|kernel]]
* [[परिमित समूह | परिमित]]
* [[Image (mathematics)|image]]
* [[Direct sum of groups|direct sum]]


* [[wreath product]]
* [[अनंत समूह | अनंत]]
* [[Simple group|simple]]
* [[निरंतर समूह | निरंतर]]
* [[Finite group|finite]]
* [[गुणक समूह | गुणक]]


* [[Infinite group|infinite]]
* [[Additive समूह | additive]]
* [[Continuous group|continuous]]
* [[चक्रीय समूह | चक्रीय]]
* [[Multiplicative group|multiplicative]]
* [[एबेलियन समूह | एबेलियन]]
* [[डायहेड्रल ग्रुप | डायहेड्रल]]


* [[Additive group|additive]]
* [[Nilpotent समूह | nilpotent]]
* [[Cyclic group|cyclic]]
* [[सॉल्वेबल ग्रुप | सॉल्वेबल]]
* [[Abelian group|abelian]]
* [[समूह एक्शन | एक्शन]]
* [[Dihedral group|dihedral]]
|content3 =* [[समूह सिद्धांत की शब्दावली]]
 
* [[समूह सिद्धांत विषयों की सूची]]
* [[Nilpotent group|nilpotent]]
}}<!----------------------- Finite ------------------------>
* [[Solvable group|solvable]]
| list3name = Finite
* [[Group action|action]]
|content3 =
* [[Glossary of group theory]]
* [[List of group theory topics]]
}}
 
<!----------------------- Finite ------------------------>


| list3name = Finite
| list3title =[[परिमित समूह]]
| list3title = [[Finite group]]s
| list3 = {{sidebar
| list3 = {{sidebar|navbar=off
|navbar=off
  | bodystyle = {{subsidebar bodystyle}}
  | bodystyle = {{subsidebar bodystyle}}


  | heading1 = [[Classification of finite simple groups]]
   
| content1 =  
| heading1 =[[परिमित सरल समूहों का वर्गीकरण]]
* [[Cyclic group|cyclic]]
| content1 =* [[चक्रीय समूह | चक्रीय]]
* [[Alternating group|alternating]]
* [[वैकल्पिक समूह | वैकल्पिक]]
* [[Group of Lie type|Lie type]]
* [[झूठ प्रकार का समूह | झूठ का प्रकार]]
* [[Sporadic group|sporadic]]
* [[छिटपुट समूह | छिटपुट]]
| content2 =* [[Cauchy का प्रमेय (समूह सिद्धांत) | Cauchy का प्रमेय]]
* [[Lagrange का प्रमेय (समूह सिद्धांत) | Lagrange's Theorem]]


| content2 =
* [[सिलो प्रमेय]]
* [[Cauchy's theorem (group theory)|Cauchy's theorem]]
* [[हॉल सबग्रुप | हॉल का प्रमेय]]
* [[Lagrange's theorem (group theory)|Lagrange's theorem]]


* [[Sylow theorems]]
* [[पी-ग्रुप | '' पी ''-समूह]]
* [[Hall subgroup|Hall's theorem]]
* [[प्राथमिक एबेलियन समूह]]


* [[p-group|''p''-group]]
* [[फ्रोबेनियस समूह]]
* [[Elementary abelian group]]


* [[Frobenius group]]
* [[शूर गुणक]]
| content3 =* [[सममित समूह]] एस<sub>''एन''</sub>* [[क्लेन चार-समूह]] वी
* [[डायहेड्रल ग्रुप]] डी<sub>''एन''</sub>* [[चतुर्भुज समूह]] क्यू
* [[डाइसाइक्लिक ग्रुप]] डीआईसी<sub>''एन''</sub>}}<!---------------------- Discrete ----------------------->
| list4name = Discrete


* [[Schur multiplier]]
| list4title = {{hlist |[[असतत समूह]] |[[जाली (असतत उपसमूह)|जाली]]}}
| list4 =* [[पूर्णांक]] (<math>\ Z</math>)
* [[मुक्त समूह]]{{longlink |[[Modular group]]s {{hlist|PSL(2, <math>\Z</math>)|SL(2, <math>\Z</math>)}}}}
* [[अंकगणित समूह]]
* [[जाली (समूह) | जाली]]
* [[हाइपरबोलिक समूह]]<!----------------- Topological and Lie ------------------->
| list5name = Topological


| content3 =
| list5title =[[टोपोलॉजिकल ग्रुप | टोपोलॉजिकल]] और [[झूठ समूह]]
| list5 =* [[सोलनॉइड (गणित) | सोलनॉइड]]
* [[सर्कल समूह | सर्कल]]


* [[Symmetric group]] S<sub>''n''</sub>
* [[सामान्य रैखिक समूह | सामान्य रैखिक]] gl ('' n '')


* [[Klein four-group]] V
* [[विशेष रैखिक समूह | विशेष रैखिक]] SL ('' n '')
* [[Dihedral group]] D<sub>''n''</sub>
* [[Quaternion group]] Q
* [[Dicyclic group]] Dic<sub>''n''</sub>


}}
* [[ऑर्थोगोनल ग्रुप | ऑर्थोगोनल]] ओ ('' एन '')


<!---------------------- Discrete ----------------------->
* [[Euclidean Group | Euclidean]] e ('' n '')


| list4name = Discrete
* [[विशेष ऑर्थोगोनल समूह | विशेष ऑर्थोगोनल]] इसलिए ('' एन '')
| list4title = {{hlist |[[Discrete group]]s |[[Lattice (discrete subgroup)|Lattice]]s}}
| list4 =
* [[Integer]]s (<math>\Z</math>)
* [[Free group]]
{{longlink |[[Modular group]]s {{hlist|PSL(2, <math>\Z</math>)|SL(2, <math>\Z</math>)}}}}
* [[Arithmetic group]]
* [[Lattice (group)|Lattice]]
* [[Hyperbolic group]]


<!----------------- Topological and Lie ------------------->
* [[एकात्मक समूह | एकात्मक]] यू ('' एन '')


| list5name = Topological
* [[विशेष एकात्मक समूह | विशेष एकात्मक]] SU ('' n '')
| list5title = [[Topological group|Topological]] and [[Lie group]]s
| list5 =
* [[Solenoid (mathematics)|Solenoid]]
* [[Circle group|Circle]]


* [[General linear group|General linear]] GL(''n'')
* [[Symplectic Group | Symplectic]] SP ('' n '')


* [[Special linear group|Special linear]] SL(''n'')
* [[G2 (गणित) | जी<sub>2</sub>]]
* [[F4 (गणित) | f<sub>4</sub>]]
* [[E6 (गणित) | ई<sub>6</sub>]]
* [[E7 (गणित) | ई<sub>7</sub>]]
* [[E8 (गणित) | ई<sub>8</sub>]]


* [[Orthogonal group|Orthogonal]] O(''n'')
* [[लोरेंट्ज़ समूह | लोरेंट्ज़]]
* [[Poincaré Group | Poincaré]]
* [[अनुरूप समूह | अनुरूप]]


* [[Euclidean group|Euclidean]] E(''n'')
* [[डिफोमोर्फिज्म]]
* [[लूप समूह | लूप]]{{longlink |[[Infinite dimensional Lie group]] {{hlist|O(∞)|SU(∞)|Sp(∞)}}}}<!--------------------- Algebraic ----------------------->
| list6name = Algebraic


* [[Special orthogonal group|Special orthogonal]] SO(''n'')
| list6title =[[बीजगणितीय समूह]]
| list6 =* [[रैखिक बीजगणितीय समूह]]


* [[Unitary group|Unitary]] U(''n'')
* [[रिडक्टिव ग्रुप]]


* [[Special unitary group|Special unitary]] SU(''n'')
* [[एबेलियन किस्म]]


* [[Symplectic group|Symplectic]] Sp(''n'')
* [[अण्डाकार वक्र]]


* [[G2 (mathematics)|G<sub>2</sub>]]
}}
* [[F4 (mathematics)|F<sub>4</sub>]]
<noinclude>
* [[E6 (mathematics)|E<sub>6</sub>]]
* [[E7 (mathematics)|E<sub>7</sub>]]
* [[E8 (mathematics)|E<sub>8</sub>]]


* [[Lorentz group|Lorentz]]
{{collapsible lists option
* [[Poincaré group|Poincaré]]
|listnames = Basics, Finite, Discrete, Topological, Algebraic
* [[Conformal group|Conformal]]
}}
 
* [[Diffeomorphism]]
* [[Loop group|Loop]]
{{longlink |[[Infinite dimensional Lie group]] {{hlist|O(∞)|SU(∞)|Sp(∞)}}}}


<!--------------------- Algebraic ----------------------->


| list6name = Algebraic
| list6title = [[Algebraic group]]s
| list6 =
* [[Linear algebraic group]]


* [[Reductive group]]


* [[Abelian variety]]


* [[Elliptic curve]]
</noinclude>
 
}}<noinclude>
 
{{collapsible lists option
|listnames = Basics, Finite, Discrete, Topological, Algebraic
}}


[[Category:Mathematics sidebar templates]]
[[Category:Mathematics sidebar templates]]
[[Category:Physics sidebar templates]]
[[Category:Physics sidebar templates]]
 
[[Category:Sidebars with styles needing conversion]]
</noinclude>
[[Category:Templates Vigyan Ready]]

Latest revision as of 08:55, 17 December 2022

बीजगणितीय संरचना → 'समूह सिद्धांत'
समूह सिद्धांत
Cyclic group.svg
बुनियादी धारणाएँ
समूह समरूपता
परिमित समूह
परिमित सरल समूहों का वर्गीकरण
टोपोलॉजिकल और झूठ समूह
बीजगणितीय समूह


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
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