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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. <\/jats:p>","DOI":"10.1142\/s0218196706002883","type":"journal-article","created":{"date-parts":[[2006,4,27]],"date-time":"2006-04-27T12:53:13Z","timestamp":1146142393000},"page":"221-258","source":"Crossref","is-referenced-by-count":19,"title":["SUBWORD COMPLEXITY OF PROFINITE WORDS AND SUBGROUPS OF FREE PROFINITE SEMIGROUPS"],"prefix":"10.1142","volume":"16","author":[{"given":"J.","family":"ALMEIDA","sequence":"first","affiliation":[{"name":"Departamento de Matem\u00e1tica Pura, Faculdade de Ci\u00eancias, Universidade do Porto, Rua do Campo Alegre 687, 4169-007 Porto, Portugal"}]},{"given":"M. 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