Template:Subgroup property: Difference between revisions

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{{quotation|''This article defines a [[subgroup property]]: a property that can be evaluated to true/false given a [[group]] and a [[subgroup]] thereof.''<br>[[:Category:Subgroup properties|View a complete list of subgroup properties]]<nowiki>|</nowiki>[[Help:Subgroup property lookup|Get subgroup property lookup help]] <nowiki>|</nowiki>[[Help:Subgroup property exploration|Get exploration suggestions]]<br>'''VIEW RELATED''': {{#ask: [[Fact about::{{PAGENAME}}]][[Category:Subgroup property implications]]|limit = 0 | searchlabel = Subgroup property implications <nowiki>|</nowiki>}} {{#ask: [[Fact about::{{PAGENAME}}]][[Category:Subgroup property non-implications]]|limit = 0 | searchlabel = Subgroup property non-implications <nowiki>|</nowiki>}} {{#ask: [[Fact about::{{PAGENAME}}]][[Category:Subgroup metaproperty satisfactions]]|limit = 0| searchlabel = Subgroup metaproperty satisfactions <nowiki>|</nowiki>}} {{#ask: [[Fact about::{{PAGENAME}}]][[Category:Subgroup metaproperty dissatisfactions]]|limit = 0|searchlabel = Subgroup metaproperty dissatisfactions <nowiki>|</nowiki>}} {{#ask: [[Fact about::{{PAGENAME}}]][[Category:Subgroup property satisfactions]]|limit = 0|searchlabel = Subgroup property satisfactions <nowiki>|</nowiki>}}{{#ask: [[Fact about::{{PAGENAME}}]][[Category:Subgroup property dissatisfactions]]|limit = 0|searchlabel = Subgroup property dissatisfactions}}<br>'''VIEW FACTS THAT''':{{#ask:[[uses property satisfaction of::{{{PAGENAME}}}]]|limit = 0|searchlabel = use, or start with, a subgroup satisfying the property}}<nowiki>|</nowiki>{{#ask:[[proves property satisfaction of::{{PAGENAME}}]]|limit = 0|searchlabel = prove, or show that, a subgroup satisfies the property}}<br><random>{{random subgroup property tip}}@@@{{random subgroup property}}</random>}}<includeonly>[[Category:Subgroup properties]][[Page class::Term| ]]</includeonly><noinclude>[[Category:Property space specification templates]]</noinclude><noinclude>{{:{{FULLPAGENAME}}/doc}}</noinclude>
{{quotation|This article defines a [[subgroup property]]: a property that can be evaluated to true/false given a [[group]] and a [[subgroup]] thereof, invariant under [[equivalence of subgroups|subgroup equivalence]]. [[:Category:Subgroup properties|View a complete list of subgroup properties]]<toggledisplay><nowiki>|</nowiki>[[Help:Subgroup property lookup|Get subgroup property lookup help]] <nowiki>|</nowiki>[[Help:Subgroup property exploration|Get exploration suggestions]]<br>'''VIEW RELATED''': {{#ask: [[Fact about::{{PAGENAME}}]][[Category:Subgroup property implications]]|limit = 0 | searchlabel = Subgroup property implications <nowiki>|</nowiki>}} {{#ask: [[Fact about::{{PAGENAME}}]][[Category:Subgroup property non-implications]]|limit = 0 | searchlabel = Subgroup property non-implications <nowiki>|</nowiki>}} {{#ask: [[Fact about::{{PAGENAME}}]][[Category:Subgroup metaproperty satisfactions]]|limit = 0| searchlabel = Subgroup metaproperty satisfactions <nowiki>|</nowiki>}} {{#ask: [[Fact about::{{PAGENAME}}]][[Category:Subgroup metaproperty dissatisfactions]]|limit = 0|searchlabel = Subgroup metaproperty dissatisfactions <nowiki>|</nowiki>}} {{#ask: [[Fact about::{{PAGENAME}}]][[Category:Subgroup property satisfactions]]|limit = 0|searchlabel = Subgroup property satisfactions <nowiki>|</nowiki>}}{{#ask: [[Fact about::{{PAGENAME}}]][[Category:Subgroup property dissatisfactions]]|limit = 0|searchlabel = Subgroup property dissatisfactions}}<br>'''VIEW FACTS THAT''':{{#ask:[[uses property satisfaction of::{{PAGENAME}}]]|?uses|?fact about|limit = 0|searchlabel = use, or start with, a subgroup satisfying the property}}<nowiki>|</nowiki>{{#ask:[[proves property satisfaction of::{{PAGENAME}}]]|?uses|?fact about|limit = 0|searchlabel = prove, or show that, a subgroup satisfies the property}}</toggledisplay>}}<includeonly>[[Category:Subgroup properties]][[Page class::Term| ]]</includeonly><noinclude>[[Category:Property space specification templates]]</noinclude><noinclude>{{:{{FULLPAGENAME}}/doc}}</noinclude>

Latest revision as of 17:55, 31 December 2011

This article defines a subgroup property: a property that can be evaluated to true/false given a group and a subgroup thereof, invariant under subgroup equivalence. View a complete list of subgroup properties[SHOW MORE]

Below is the documentation for the template Template:Subgroup property

This template is an article-tagging template: it is intended to tag an entire article rather than a specific section.

Invoking the template:

  • What articles are tagged by this template: Those articles that are about a subgroup property. A subgroup property is a property such that, given any group and any subgroup of that group, the group-sugbroup pair either satisfies the property or does not satisfy the property (a complete list of tagged articles is at Category:Subgroup properties).
  • The template does not take in any parameters

Effects of the template:

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