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Hereditarily ACIC-group
From Groupprops
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This article defines a group property: a property that can be evaluated to true/false for any given group
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RANDOM GROUP PROPERTY: Locally finite group: A group in which every finitely generated subgroup is finite.
Definition
A group is termed a hereditarily ACIC-group if every subgroup of it is an ACIC-group.
Formalisms
BEWARE! This section of the article uses terminology local to the wiki, possibly without giving a full explanation of the terminology used (though efforts have been made to clarify terminology as much as possible within the particular context)
In terms of the Hamiltonian operator
This property is obtained by applying the Hamiltonian operator to the property: ACIC-group
View all properties obtained by applying the Hamiltonian operator
Relation with other properties
Stronger properties
Weaker properties
Metaproperties
Subgroups
This group property is subgroup-closed, viz any subgroup of a group satisfying the property also satisfies the property
View other subgroup-closed group properties
Facts about Hereditarily ACIC-groupRDF feed
| Defining ingredient | Hamiltonian operator +, and ACIC-group + |
