Arithmetic function on groups: Difference between revisions
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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 of its value is [[symmetric group:S3]] gets mapped to 6. | 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 of its value is [[symmetric group:S3]] gets mapped to 6. | ||
Another example of an arithmetic function on groups is the [[number of subgroups]] of a group. | Another example of an arithmetic function on groups is the [[number of subgroups]] of a group. An example of its value is [[symmetric group:S3]] gets mapped to 6. | ||
==Category page== | ==Category page== | ||
See [[:Category:Arithmetic functions on groups]]. | See [[:Category:Arithmetic functions on groups]]. | ||
Revision as of 03:44, 16 December 2023
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 of its value is symmetric group:S3 gets mapped to 6.
Another example of an arithmetic function on groups is the number of subgroups of a group. An example of its value is symmetric group:S3 gets mapped to 6.