Virtually abelian group

This article defines a group property: a property that can be evaluated to true/false for any given group, invariant under isomorphism
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This is a variation of Abelianness|Find other variations of Abelianness |

Definition

Symbol-free definition

A group is said to be virtually Abelian if it has an Abelian subgroup of finite index.

Formalisms

In terms of the virtually operator

This property is obtained by applying the virtually operator to the property: Abelian group
View other properties obtained by applying the virtually operator

Relation with other properties

Stronger properties

• Finite group
• Abelian group
• locally finite linear group over characteristic zero