Purely definably generated subgroup

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Revision as of 22:03, 22 February 2009 by Vipul (talk | contribs) (New page: {{wikilocal}} {{subgroup property}} ==Definition== A subgroup of a group is termed '''purely definably generated''' if it has a generating set that is a definable subset in t...)
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BEWARE! This term is nonstandard and is being used locally within the wiki. [SHOW MORE]
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]

Definition

A subgroup of a group is termed purely definably generated if it has a generating set that is a definable subset in terms of the first-order theory of the group.

Relation with other properties

Stronger properties

Weaker properties