THE DEHN FUNCTION AND A REGULAR SET OF NORMAL FORMS FOR THOMPSON,R. GROUP

Authors
GUBA VS SAPIR MV
Citation
Vs. Guba et Mv. Sapir, THE DEHN FUNCTION AND A REGULAR SET OF NORMAL FORMS FOR THOMPSON,R. GROUP, Journal of the Australian Mathematical Society. Series A. Pure mathematics and statistics, 62, 1997, pp. 315-328
Citations number
18
Categorie Soggetti
Mathematics, General","Statistic & Probability",Mathematics,"Statistic & Probability
Journal title
Journal of the Australian Mathematical Society. Series A. Pure mathematics and statistics → ACNP
ISSN journal
02636115
Volume
62
Year of publication
1997
Part
3
Pages
315 - 328
Database
ISI
SICI code
0263-6115(1997)62:<315:TDFAAR>2.0.ZU;2-3
Abstract
We show that the group F discovered by Richard Thompson in 1965 has a subexponential upper bound for its Dehn function. This disproves a con jecture by Gersten. We also prove that F has a regular terminating con fluent presentation.