Template:Varietal: Difference between revisions
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===Varietal group property=== | ===Varietal group property=== | ||
''this group property is varietal, 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 [[subgroup-closed group property|taking subgroups]], [[quotient-closed group property|taking quotients]] and [[direct product-closed group property|taking arbitrary direct products]]''<includeonly>[[Category:Varietal group properies]]</includeonly><noinclude>[[Category:Group metaproperty satisfaction templates]]</noinclude> | ''this group property is varietal, 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 [[subgroup-closed group property|taking subgroups]], [[quotient-closed group property|taking quotients]] and [[direct product-closed group property|taking arbitrary direct products]]''<includeonly>[[Category:Varietal group properies]][[Category:Subgroup-closed group properties]][[Category:Quotient-closed group properties]][[Category:Direct product-closed group properties]]</includeonly><noinclude>[[Category:Group metaproperty satisfaction templates]]</noinclude> | ||
Revision as of 08:51, 25 May 2007
Varietal group property
this group property is varietal, 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