Template:Varietal: Difference between revisions
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==Varietal group property=== | ===Varietal group property=== | ||
'' | {{quotation|''This group property is a [[satisfies metaproperty::varietal group property]], in the sense that the collection of groups satisfying this property forms a [[variety of algebras]]. In other words, the collection of groups satisfying this property is closed under [[satisfies metaproperty::subgroup-closed group property|taking subgroups]], [[satisfies metaproperty::quotient-closed group property|taking quotients]] and [[satisfies metaproperty::direct product-closed group property|taking arbitrary direct products]].''}}<noinclude>[[Category:Group metaproperty satisfaction templates]]</noinclude> | ||
Latest revision as of 23:06, 7 August 2009
Varietal group property
This group property is a varietal group property, in the sense that the collection of groups satisfying this property forms a variety of algebras. In other words, the collection of groups satisfying this property is closed under taking subgroups, taking quotients and taking arbitrary direct products.