Fibonacci group
id:
fibonacci-group-264-6093574
title:
Fibonacci group
text:
In mathematics, for a natural number n ≥ 2 , the nth Fibonacci group, denoted F or sometimes F , is defined by n generators a 1 , a 2 , … , a n and n relations: a 1 a 2 = a 3 , a 2 a 3 = a 4 , … a n − 2 a n − 1 = a n , a n − 1 a n = a 1 , a n a 1 = a 2 . These groups were introduced by John Conway in 1965. The group F is of finite order for n = 2 , 3 , 4 , 5 , 7 and infinite order for n = 6 and n ≥ 8 . The infinitude of F was proved by computer in 1990.
brand slug:
wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Fibonacci_group
date created:
date modified:
2023-02-20T13:58:14Z
main entity:
{"identifier":"Q3117679","url":"https://www.wikidata.org/entity/Q3117679"}
image:
fields total:
13
integrity:
13