FIBONACCI SEMIGROUPS

Authors
CAMPBELL CM ROBERTSON EF RUSKUC N THOMAS RM
Citation
Cm. Campbell et al., FIBONACCI SEMIGROUPS, Journal of pure and applied algebra, 94(1), 1994, pp. 49-57
Citations number
14
Categorie Soggetti
Mathematics, Pure",Mathematics,Mathematics,Mathematics
Journal title
Journal of pure and applied algebra → ACNP
ISSN journal
00224049
Volume
94
Issue
1
Year of publication
1994
Pages
49 - 57
Database
ISI
SICI code
0022-4049(1994)94:1<49:FS>2.0.ZU;2-I
Abstract
In this paper, we recall the Fibonacci groups defined by the presentat ions [a1, a2, ..., a(n): a1a2 ... a(r) = a(r+1), a2a3 ... a(r+1) = a(r +2), ..., a(n-1)a(n)a1 ... a(r-2) = a(r-1), a(n)a1a2 ... a(r-1) = a(r) ], and determine the relationship between these groups and the semigro ups defined by these presentations. We also consider the more general situation where we have the presentations [a1,a2, ..., a(n): a1a2... a (r) = a(r+k), a2a3 ... a(r+1) = a(r+k+1), ,,, a(n-1)a(n)a1 ... a(r-2) = a(r+k-2), a(n)a1a2 ... a(r-1) = a(r+k-1)].