# Meet-irreducible subgroup

From Groupprops

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