Meet-irreducible subgroup

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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]


This article defines a term that has been used or referenced in a journal article or standard publication, but may not be generally accepted by the mathematical community as a standard term.[SHOW MORE]

Definition

Symbol-free definition

A subgroup of a group is said to be meet-irreducible if it cannot be expressed as the intersection of two distinct proper subgroups of the group.

In terms of the meet-irreducibility operator

This property is obtained by applying the meet-irreducibility operator to the property: tautology
View other properties obtained by applying the meet-irreducibility operator

Relation with other properties

Stronger properties