Graphs of subgroups of free groups

被引：11

作者：

Louder, Larsen ^{[1
]}

McReynolds, D. B. ^{[2
]}

机构：

[1] Univ Michigan, Dept Math, Ann Arbor, MI 48109 USA

[2] Univ Chicago, Dept Math, Chicago, IL 60637 USA

来源：

ALGEBRAIC AND GEOMETRIC TOPOLOGY | 2009年 / 9卷 / 01期

关键词：

Folding; Free groups; Hanna Neumann conjecture;

D O I：

10.2140/agt.2009.9.327

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct an efficient model for graphs of finitely generated subgroups of free groups. Using this we give a very short proof of Dicks's reformulation of the strengthened Hanna Neumann Conjecture as the Amalgamated Graph Conjecture. In addition, we answer a question of Culler and Shalen on ranks of intersections in free groups. The latter has also been done independently by R P Kent IV.

引用

收藏

页码：327 / 335

页数：9

相关论文

共 50 条

[31] The subgroups of direct products of surface groups [J].

Bridson, MR ;

Howie, J ;

Miller, CF ;

Short, H .

GEOMETRIAE DEDICATA, 2002, 92 (01) :95-103

[32] The Subgroups of Direct Products of Surface Groups [J].

Martin R. Bridson ;

James Howie ;

Charles F. Miller ;

Hamish Short .

Geometriae Dedicata, 2002, 92 :95-103

[33] ON FREE SUBGROUPS IN DIVISION RINGS [J].

Bell, Jason P. ;

Goncalves, Jairo .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2020, 148 (05) :1953-1962

[34] AUTOMORPHISM GROUPS OF FREE GROUPS [J].

Newman, M. F. .

JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2008, 85 (03) :341-345

[35] GROUPS, GRAPHS, AND THE HANNA NEUMANN CONJECTURE [J].

Mineyev, Igor .

JOURNAL OF TOPOLOGY AND ANALYSIS, 2012, 4 (01) :1-12

[36] A property of subgroups of infinite index in a free group [J].

Arzhantseva, GN .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2000, 128 (11) :3205-3210

[37] An algorithm to recognize echelon subgroups of a free group [J].

Ascari, Dario .

INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, 2024, 34 (04) :491-513

[38] On the outer automorphism groups of free groups [J].

Tolstykh, Vladimir .

JOURNAL OF ALGEBRA, 2014, 420 :120-140

[39] Big free groups are almost free [J].

Tlas, Tamer .

INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, 2015, 25 (05) :855-864

[40] Fixed subgroups in direct products of surface groups of Euclidean type [J].

Wu, Jianchun ;

Ventura, Enric ;

Zhang, Qiang .

COMMUNICATIONS IN ALGEBRA, 2020, 48 (07) :3003-3010

← 1 2 3 4 5 →