Arithmetic function on groups: Difference between revisions
(Created page with "{{basicdef in|group theory}} ==Definition== An '''arithmetic function on groups''' is a function that takes in a group and returns a number. ==Category page== See :C...") |
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An '''arithmetic function on groups''' is a function that takes in a [[group]] and returns a number. | An '''arithmetic function on groups''' is a function that takes in a [[group]] and returns a number. | ||
==Examples== | |||
A simple example is the [[order of a group]], taking in a group and returning its order. An example 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 03:42, 16 December 2023
This article gives a basic definition in the following area: group theory
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Definition
An arithmetic function on groups is a function that takes in a group and returns a number.
Examples
A simple example is the order of a group, taking in a group and returning its order. An example is symmetric group:S3 gets mapped to 6.