Diameter (group theory)
id:
diameter-group-theory-167-13128750
title:
Diameter (group theory)
text:
In the area of abstract algebra known as group theory, the diameter of a finite group is a measure of its complexity. Consider a finite group, and any set of generators S. Define D S to be the graph diameter of the Cayley graph Λ =. Then the diameter of is the largest value of D S taken over all generating sets S. For instance, every finite cyclic group of order s, the Cayley graph for a generating set with one generator is an s-vertex cycle graph. The diameter of this graph, and of the group, i
brand slug:
wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Diameter_(group_theory)
date created:
2015-07-19T08:31:40Z
date modified:
2024-08-31T01:03:06Z
main entity:
{"identifier":"Q25099359","url":"https://www.wikidata.org/entity/Q25099359"}
image:
fields total:
13
integrity:
14