Subgroups of cyclic groups
id:
subgroups-of-cyclic-groups-276-4000445
title:
Subgroups of cyclic groups
text:
In abstract algebra, every subgroup of a cyclic group is cyclic. Moreover, for a finite cyclic group of order n, every subgroup's order is a divisor of n, and there is exactly one subgroup for each divisor. This result has been called the fundamental theorem of cyclic groups.
brand slug:
wiki
category slug:
encyclopedia
description:
Every subgroup of a cyclic group is cyclic, and if finite, its order divides its parent's
original url:
https://en.wikipedia.org/wiki/Subgroups_of_cyclic_groups
date created:
date modified:
2023-02-06T08:35:06Z
main entity:
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image:
fields total:
13
integrity:
14