Ballester Bolinches, Adolfo, Pin, Jean-Éric, Soler-Escrivà, Xaro
Languages associated with saturated formations of groups
Forum Mathematicum. 2013, 0(0): 35 p. doi:10.1515/forum-2012-0161
URI: http://hdl.handle.net/10045/41401
DOI: 10.1515/forum-2012-0161
ISSN: 0933-7741 (Print)
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
De Gruyter
info:eu-repo/semantics/article