虚自由群和虚自由积的强化Hanna Neumann猜想的一个模拟

IF 0.8 3区数学 Q2 MATHEMATICS

Michigan Mathematical Journal Pub Date : 2021-06-10 DOI:10.1307/mmj/20216105

A. Klyachko, A. Zakharov

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引用次数: 0

摘要

Friedman- Mineyev定理，早期被称为(强化的)Hanna Neumann猜想，给出了自由群中两个子群相交的秩的一个尖锐估计。对于虚自由群中的任意两个子群(或者，更一般地说，包含左序群的自由积作为有限索引子群的群)，我们得到了这个不等式的一个类比。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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An Analogue of the Strengthened Hanna Neumann Conjecture for Virtually Free Groups and Virtually Free Products

The Friedman--Mineyev theorem, earlier known as the (strengthened) Hanna Neumann conjecture, gives a sharp estimate for the rank of the intersection of two subgroups in a free group. We obtain an analogue of this inequality for any two subgroups in a virtually free group (or, more generally, in a group containing a free product of left-orderable groups as a finite-index subgroup).

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来源期刊

Michigan Mathematical Journal 数学-数学

CiteScore

1.20

自引率

11.10%

发文量

审稿时长

>12 weeks

期刊介绍： The Michigan Mathematical Journal is available electronically through the Project Euclid web site. The electronic version is available free to all paid subscribers. The Journal must receive from institutional subscribers a list of Internet Protocol Addresses in order for members of their institutions to have access to the online version of the Journal.