On power groups and embedding theorems for relatively free profinite monoids

DOI10.1017/S0305004104008175zbMath1098.20043MaRDI QIDQ4673375

Benjamin Steinberg, Karl Auinger

Publication date: 29 April 2005

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

semidirect productsMalcev productsfree groupspseudoidentitiesprofinite topologiespower groupsrational languagespseudovarieties of groupsrelatively free profinite monoids\(\mathcal J\)-trivial monoidsHall pseudovarieties

Mathematics Subject Classification ID

Lattices of varieties (08B15) Varieties and pseudovarieties of semigroups (20M07) Free semigroups, generators and relations, word problems (20M05) Semigroups in automata theory, linguistics, etc. (20M35) Quasivarieties and varieties of groups (20E10) Quasivarieties (08C15) Limits, profinite groups (20E18)

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About the power pseudovariety \(\mathbf{PCS}\) ⋮ An upper bound for the power pseudovariety \(\mathbf{PCS}\). ⋮ Upper set monoids and length preserving morphisms ⋮ ON THE DECIDABILITY OF MEMBERSHIP IN THE GLOBAL OF A MONOID PSEUDOVARIETY ⋮ On a locality-like property of the pseudovariety J ⋮ The pro-nilpotent group topology on a free group ⋮ Varieties of finite supersolvable groups with the M.~Hall property. ⋮ Constructing divisions into power groups

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