Maximal subgroups of free profinite semigroups
 
 
Description:  Free profinite semigroups proved to be a fundamental tool for the development of Finite Semigroup Theory since the mid 1980's. However, little is known about their structure. The first important advances were made in the last decade, based in a beautiful connection with symbolic dynamics introduced by Almeida or in wreath product techniques applied by Rhodes and Steinberg. The most appealing results are about maximal subgroups. This talk will be focused in two recent works in which the speaker participated. The first one, co-authored with Almeida, concerns the maximal subgroups defined by minimal symbolic dynamical systems, where concrete presentations for some of them are obtained. The second one, co-authored with Steinberg, is about the proof that the maximal subgroup associated to a non-periodic irreducible sofic system is a free profinite group with countable rank.
Date:  2010-04-13
Start Time:   14:30
Speaker:  Alfredo Costa (Mat.FCTUC/CMUC)
Institution:  Mat.FCTUC/CMUC
Place:  Sala 5.5
Research Groups: -Algebra, Logic and Topology
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