Left transiter-preserved subgroup metaproperty: Difference between revisions
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==Definition== | ==Definition== | ||
A [[subgroup metaproperty]] <math>\alpha</math> is termed '''left transiter-closed''' if whenever a [[subgroup property]] <math>p</math> satisfies <math>\alpha</math>, then the [[left transiter]] of <math>p</math> also satisfies <math>\alpha</math>. | A [[subgroup metaproperty]] <math>\alpha</math> is termed '''left transiter-preserved''' or '''left transiter-closed''' if whenever a [[subgroup property]] <math>p</math> satisfies <math>\alpha</math>, then the [[left transiter]] of <math>p</math> also satisfies <math>\alpha</math>. | ||
==Relation with other metaproperties== | |||
===Stronger metaproperties=== | |||
* [[Weaker than::Left residual-preserved subgroup metaproperty]] | |||
Latest revision as of 19:18, 17 September 2008
This article defines a subgroup metametaproperty
View a complete list of subgroup metametaproperties
Definition
A subgroup metaproperty is termed left transiter-preserved or left transiter-closed if whenever a subgroup property satisfies , then the left transiter of also satisfies .
