无限斐波那契群与相对非球面

IF 1.1 Q1 MATHEMATICS

Transactions of the London Mathematical Society Pub Date : 2017-08-03 DOI:10.1112/tlm3.12007

M. Edjvet, A. Juhász

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引用次数: 7

摘要

我们证明广义Fibonacci群F(r,n)对于(r,n)∈{(7+5k,5)，(8+5k,5):k小于0}是无限的。这与先前已知的结果一起产生了有限F(r,n)的完全分类，这个问题起源于1965年J. H. Conway的一个问题。该方法是证明一个相关的相对表示是非球面的，由此可以推导出群是无限的。

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The infinite Fibonacci groups and relative asphericity

We prove that the generalised Fibonacci group F(r,n) is infinite for (r,n)∈{(7+5k,5),(8+5k,5):k⩾0} . This together with previously known results yields a complete classification of the finite F(r,n) , a problem that has its origins in a question by J. H. Conway in 1965. The method is to show that a related relative presentation is aspherical from which it can be deduced that the groups are infinite.

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来源期刊

Transactions of the London Mathematical Society MATHEMATICS-

CiteScore

1.40

自引率

0.00%

发文量

审稿时长

41 weeks