Upper join of characteristic subgroups

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Revision as of 15:59, 25 February 2009 by Vipul (talk | contribs) (New page: {{wikilocal}} {{subgroup property}} ==Definition== A subgroup <math>H</math> of a group <math>G</math> is termed an '''upper join of characteristic subgroups''' if there exist su...)
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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]


A subgroup H of a group G is termed an upper join of characteristic subgroups if there exist subgroups K_i,i \in I of G containing H (where I is an indexing set) such that:

Note that H need not be a characteristic subgroup of G because characteristicity is not upper join-closed.


In terms of the upper join-closure operator

This property is obtained by applying the upper join-closure operator to the property: characteristic subgroup
View other properties obtained by applying the upper join-closure operator

Relation with other properties

Stronger properties

Weaker properties