Cycles and fixed points
id:
cycles-and-fixed-points-322-2952679
title:
Cycles and fixed points
text:
In mathematics, the cycles of a permutation π of a finite set S correspond bijectively to the orbits of the subgroup generated by π acting on S. These orbits are subsets of S that can be written as { c1, ..., cn }, such that The corresponding cycle of π is written as ( c1 c2 ... cn ); this expression is not unique since c1 can be chosen to be any element of the orbit. The size n of the orbit is called the length of the corresponding cycle; when n = 1, the single element in the orbit is called a
brand slug:
wiki
category slug:
encyclopedia
description:
Related mathematical concepts
original url:
https://en.wikipedia.org/wiki/Cycles_and_fixed_points
date created:
date modified:
2023-05-05T15:29:12Z
main entity:
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image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/c/cb/Gray_code_%2A_bit_reversal_16.svg","width":850,"height":673}
fields total:
13
integrity:
15