Arithmetic function on groups
This article gives a basic definition in the following area: group theory
View other basic definitions in group theory |View terms related to group theory |View facts related to group theory
Definition
An arithmetic function on groups is a function that takes in a group and returns a number.
Examples
A simple example of an arithmetic function on groups is the order of a group, taking in a group and returning its order. An example is symmetric group:S3 gets mapped to 6.
Another example of an arithmetic function on groups is the number of subgroups of a group.