虚自由群和虚自由积的强化Hanna Neumann猜想的一个模拟

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

A. Klyachko, A. Zakharov

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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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