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306 citations

Showing 2015 · math.GRShow all

11 papers · 2 filters

math.GR2015

Complete kappa-reducibility of pseudovarieties of the form DRH

Jorge Almeida, Célia Borlido

We denote by kappa the implicit signature that contains the multiplication and the (omega-1)-power. It is proved that for any completely kappa-reducible pseudovariety of groups H,…

math.GR2015

Some reducibility properties for pseudovarieties of the form DRH

Célia Borlido

Let H be a pseudovariety of groups and DRH be the pseudovariety containing all finite semigroups whose regular R-classes belong to H. We study the relationship between reducibility…

math.GR2015★ 2 cited

The rank of variants of nilpotent pseudovarieties

J. Almeida, M. H. Shahzamanian

We investigate the rank of pseudovarieties defined by several of the variants of nilpotency conditions for semigroups in the sense of Mal'cev. For several of them, we provide finit…

math.GR2015★ 3 cited

The pro-nilpotent group topology on a free group

J. Almeida, M. H. Shahzamanian, B. Steinberg

In this paper, we work on the pro-nilpotent group topology of a free group. First we investigate the closure of the product of finitely many subgroups of a free group in the pro-ni…

math.GR2015★ 7 cited

Representations of relatively free profinite semigroups, irreducibility, and order primitivity

J. Almeida, O. Klíma

We establish that, under certain closure assumptions on a pseudovariety of semigroups, the corresponding relatively free profinite semigroups freely generated by a non-singleton fi…

math.GR2015★ 1 cited

Pointlike reducibility of pseudovarieties of the form

J. C. Costa, C. Nogueira, M. L. Teixeira

In this paper, we investigate the reducibility property of semidirect products of the form relatively to (pointlike) systems of equations of the form …

math.GR2015★ 6 cited

Random walks on semaphore codes and delay de Bruijn semigroups

John Rhodes, Anne Schilling, Pedro V. Silva

We develop a new approach to random walks on de Bruijn graphs over the alphabet through right congruences on , defined using the natural right action of . A major rol…

math.GR2015★ 13 cited

A geometric interpretation of the Schützenberger group of a minimal subshift

J. Almeida, A. Costa

The first author has associated in a natural way a profinite group to each irreducible subshift. The group in question was initially obtained as a maximal subgroup of a free profin…

math.GR2015★ 5 cited

Reducibility of pointlike problems

J. Almeida, J. C. Costa, M. Zeitoun

We show that the pointlike and the idempotent pointlike problems are reducible with respect to natural signatures in the following cases: the pseudovariety of all finite semigroups…

math.GR2015★ 1 cited

Factoriality and the Pin-Reutenauer procedure

J. Almeida, J. C. Costa, M. Zeitoun

We consider implicit signatures over finite semigroups determined by sets of pseudonatural numbers. We prove that, under relatively simple hypotheses on a pseudovariety V of semigr…

math.GR2015★ 1 cited

Hexagonal Projected Symmetries

Juliane F. Oliveira, Sofia S. B. S. D. Castro, Isabel S. Labouriau

In the study of pattern formation in symmetric physical systems a 3-dimensional structure in thin domains is often modelled as 2-dimensional one. We are concerned with functions in…