FIBONACCI SEMIGROUPS

[摘要] In this paper, we recall the Fibonacci groups defined by the presentations [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 semigroups 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)].

[发布日期] 1994-06-03