Jorge Almeida (CMUP/Universidade do Porto, Portugal)
31/07/2012 NEW SCHEDULE: Terça-feira, 31 de Julho de 2012, 14:30, Sala B1-01
Instituto para a Investigação Interdisciplinar da Universidade de Lisboa
Irreducibility of pseudovarieties of semigroups
We show that, for every pseudovariety of groups H, the pseudovariety consisting of all finite semigroups all of whose subgroups lie in H, is irreducible for join and the Mal'cev and semidirect products. This improves results of Margolis-Sapir-Weil and Rhodes-Steinberg. We further announce some related results on join irreducibility. (Joint work with Ondrej Klíma.) |
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