The braided Thompson's groups are of type F∞

被引：27

作者：

Bux, Kai-Uwe ^{[1
]}

Fluch, Martin G. ^{[1
]}

Marschler, Marco ^{[1
]}

Witzel, Stefan ^{[2
]}

Zaremsky, Matthew C. B. ^{[3
]}

机构：

[1] Univ Bielefeld, Dept Math, D-33501 Bielefeld, Germany

[2] Univ Munster, Inst Math, D-48149 Munster, Germany

[3] SUNY Binghamton, Dept Math Sci, Binghamton, NY 13902 USA

来源：

JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK | 2016年 / 718卷

关键词：

FINITENESS PROPERTIES; CHESSBOARD COMPLEXES; HIGHER GENERATION; SUBGROUPS; ALGEBRA; STRAND;

D O I：

10.1515/crelle-2014-0030

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that the braided Thompson's groups V-br and F-br are of type F-infinity, confirming a conjecture by John Meier. The proof involves showing that matching complexes of arcs on surfaces are highly connected. In an appendix, Zaremsky uses these connectivity results to exhibit families of subgroups of the pure braid group that are highly generating, in the sense of Abels and Holz.

引用

页码：59 / 101

页数：43

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