Torsion group

id: torsion-group-169-12028419
title: Torsion group
text: In group theory, a branch of mathematics, a torsion group or a periodic group is a group in which every element has finite order. The exponent of such a group, if it exists, is the least common multiple of the orders of the elements. For example, it follows from Lagrange's theorem that every finite group is periodic and it has an exponent that divides its order.
brand slug: wiki
category slug: encyclopedia
description: Group in which each element has finite order
original url: https://en.wikipedia.org/wiki/Torsion_group
date created: 2005-12-30T13:30:44Z
date modified: 2024-08-31T15:06:45Z
main entity: {"identifier":"Q1551033","url":"https://www.wikidata.org/entity/Q1551033"}
image:
fields total: 13
integrity: 15

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