Quadratic isoperimetric inequality for mapping tori of polynomially growing automorphisms of free groups

被引：4

作者：

Macura, N ^{[1
]}

机构：

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

来源：

GEOMETRIC AND FUNCTIONAL ANALYSIS | 2000年 / 10卷 / 04期

关键词：

Free Group; Isoperimetric Inequality; Mapping Torus; Quadratic Isoperimetric Inequality;

D O I：

10.1007/PL00001642

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that the mapping torus F-n x(phi) Z of a polynomially growing automorphism phi : F-n --> F-n of finitely generated free group F-n satisfies the quadratic isoperimetric inequality.

引用

页码：874 / 901

页数：28

共 13 条

[1] Quadratic isoperimetric inequality for mapping tori of polynomially growing automorphisms of free groups
N. Macura
[J]. Geometric & Functional Analysis GAFA, 2000, 10 : 874 - 901
[2] The Quadratic Isoperimetric Inequality for Mapping Tori of Free Group Automorphisms
Bridson, Martin R.
Groves, Daniel
[J]. MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY, 2010, 203 (955) : IX - +
[3] Splittings of mapping tori of free group automorphisms
Brinkmann, P
[J]. GEOMETRIAE DEDICATA, 2002, 93 (01) : 191 - 203
[4] Splittings of Mapping Tori of Free Group Automorphisms
Peter Brinkmann
[J]. Geometriae Dedicata, 2002, 93 : 191 - 203
[5] Mapping tori of free group automorphisms are coherent
Feighn, M
Handel, M
[J]. ANNALS OF MATHEMATICS, 1999, 149 (03) : 1061 - 1077
[6] On the asymptotic cone of groups satisfying a quadratic isoperimetric inequality
Papasoglu, P
[J]. JOURNAL OF DIFFERENTIAL GEOMETRY, 1996, 44 (04) : 789 - 806
[7] Mapping tori of free group automorphisms, and the Bieri-Neumann-Strebel invariant of graphs of groups
Cashen, Christopher H.
Levitt, Gilbert
[J]. JOURNAL OF GROUP THEORY, 2016, 19 (02) : 191 - 216
[8] Mapping tori of endomorphisms of free groups
Kapovich, I
[J]. COMMUNICATIONS IN ALGEBRA, 2000, 28 (06) : 2895 - 2917
[9] Central extensions of word hyperbolic groups satisfy a quadratic isoperimetric inequality
Conner, GR
[J]. ARCHIV DER MATHEMATIK, 1995, 65 (06) : 465 - 470
[10] TORSION HOMOLOGY GROWTH OF POLYNOMIALLY GROWING FREE-BY-CYCLIC GROUPS
Andrew, Naomi
Hughes, Sam
Kudlinska, Monika
[J]. ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2024, 54 (04) : 933 - 941

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