Irrational stable commutator length in finitely presented groups

Dongping Zhuang

doi:10.3934/jmd.2008.2.499

Article Contents

2008, Volume 2, Issue 3: 499-507. Doi: 10.3934/jmd.2008.2.499

This issue Previous Article Displacement energy of coisotropic submanifolds and Hofer's geometry Next Article Regularity of conjugacies of algebraic actions of Zariski-dense groups

Irrational stable commutator length in finitely presented groups

Dongping Zhuang^1,

1.
Department of Mathematics, Caltech, Pasadena, CA 91125

Received: December 31, 2007

Published: March 2008

Abstract Related Papers Cited by

Abstract

We give examples of ﬁnitely presented groups containing elements with irrational (in fact, transcendental) stable commutator length, thus answering in the negative a question of M. Gromov. Our examples come from 1-dimensional dynamics and are related to the generalized Thompson groups studied by M. Stein, I. Liousse and others.

Keywords:

Stable commutator length,
generalized Thompson groups.

Mathematics Subject Classification: Primary: 20F12, 37E45; Secondary: 37E10.

Citation:

Article Metrics

HTML views() PDF downloads(107) Cited by(0)

Irrational stable commutator length in finitely presented groups

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

Irrational stable commutator length in finitely presented groups

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content