Free-by-cyclic group
id:
free-by-cyclic-group-265-9014098
title:
Free-by-cyclic group
text:
In group theory, especially, in geometric group theory, the class of free-by-cyclic groups have been deeply studied as important examples. A group G is said to be free-by-cyclic if it has a free normal subgroup F such that the quotient group G / F is cyclic. In other words, G is free-by-cyclic if it can be expressed as a group extension of a free group by a cyclic group. Usually, we assume F is finitely generated and the quotient is an infinite cyclic group. Equivalently, we can define a free-by
brand slug:
wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Free-by-cyclic_group
date created:
date modified:
2023-08-13T12:15:34Z
main entity:
{"identifier":"Q5499608","url":"https://www.wikidata.org/entity/Q5499608"}
image:
fields total:
13
integrity:
13