Portal de Periódicos da CAPES

The Dehn function and a regular set of normal forms for R. Thompson's group F

1997; Cambridge University Press; Volume: 62; Issue: 3 Linguagem: Inglês

10.1017/s1446788700001038

2396-8192

V. S. Guba, Mark Sapir,

Advanced Algebra and Geometry

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 conjecture by Gersten. We also prove that F has a regular terminating confluent presentation.