Name
Abstract | ||
|---|---|---|
We study free profinite subgroups of free profinite semigroups of the same rank using, as main tools, iterated continuous endomorphisms, subword complexity, and the associated entropy. Main results include a general scheme to produce such subgroups and a proof that the complement of the minimal ideal in a free profinite semigroup on more than one generator is closed under all implicit operations that do not lie in the minimal ideal and even under their infinite iteration. |
Year | DOI | Venue |
|---|---|---|
2006 | 10.1142/S0218196706002883 | INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION |
Keywords | Field | DocType |
free profinite semigroup, profinite word, implicit operator, free profinite group, group-generic endornorphism, iteration, subword complexity, entropy | Discrete mathematics,Algebra,Minimal ideal,Profinite group,Semigroup,Iterated function,Mathematics,Endomorphism | Journal |
Volume | Issue | ISSN |
16 | 2 | 0218-1967 |
Citations | PageRank | References |
6 | 0.71 | 5 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| J. Almeida | 1 | 61 | 15.24 |
| Mikhail V. Volkov | 2 | 121 | 18.25 |