The paper
Adolfo Ballester-Bolinches, Jean-Éric Pin, Xaro Soler-Escrivà
Languages associated with saturated formations of groups
will be published in Forum Mathematicum. It is available through
http://dx.doi.org/10.1515/forum-2012-0161
We will inform about the publication details. See abstract below.
El artículo
Adolfo Ballester-Bolinches, Jean-Éric Pin, Xaro Soler-Escrivà
Languages associated with saturated formations of groups
será publicado en Forum Mathematicum. Está disponible en
http://dx.doi.org/10.1515/forum-2012-0161
Informaremos sobre los detalles de publicación. Véase el resumen más abajo.
L’article
Adolfo Ballester-Bolinches, Jean-Éric Pin, Xaro Soler-Escrivà
Languages associated with saturated formations of groups
serà publicat en Forum Mathematicum. Està disponible a
http://dx.doi.org/10.1515/forum-2012-0161
Informarem sobre els detalls de publicació. Vegeu el resum més avall.
Abstract
In a previous paper, the authors have shown that Eilenberg’s variety theorem can be extended to more general structures, called formations. In this paper, we give a general method to describe the languages corresponding to saturated formations of groups, which are widely studied in group theory. We recover in this way a number of known results about the languages corresponding to the classes of nilpotent groups, soluble groups and supersoluble groups. Our method also applies to new examples, like the class of groups having a Sylow tower.
Keywords: Group formation; regular language;finite automata; finite monoid