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

{"title":"虚自由群和虚自由积的强化Hanna Neumann猜想的一个模拟","authors":"A. Klyachko, A. Zakharov","doi":"10.1307/mmj/20216105","DOIUrl":null,"url":null,"abstract":"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).","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-06-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"An Analogue of the Strengthened Hanna Neumann Conjecture for Virtually Free Groups and Virtually Free Products\",\"authors\":\"A. Klyachko, A. Zakharov\",\"doi\":\"10.1307/mmj/20216105\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"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).\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2021-06-10\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1307/mmj/20216105\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1307/mmj/20216105","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

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。

查看原文

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).

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助