EUDML | Nilpotent, weakly abelian and Hamiltonian lattice ordered groups

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Displaying similar documents to “Nilpotent, weakly abelian and Hamiltonian lattice ordered groups”

About varieties of weakly abelian $ℓ$ -groups

Sergei A. Gurchenkov (1992)

Mathematica Slovaca

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Every $l$ -variety satisfying the amalgamation property is representable

Sergei A. Gurchenkov (1997)

Mathematica Slovaca

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Mutually permutable products of two nilpotent groups

Adolfo Ballester-Bolinches, James C. Beidleman, John Cossey, Hermann Heineken, María Carmen Pedraza-Aguilera (2006)

Rendiconti del Seminario Matematico della Università di Padova

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Supplemented nilpotent groups

Jutta Hausen (1981)

Rendiconti del Seminario Matematico della Università di Padova

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Relative commutator associated with varieties of $n$ -nilpotent and of $n$ -solvable groups

Tomas Everaert, Marino Gran (2006)

Archivum Mathematicum

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In this note we determine explicit formulas for the relative commutator of groups with respect to the subvarieties of $n$ -nilpotent groups and of $n$ -solvable groups. In particular these formulas give a characterization of the extensions of groups that are central relatively to these subvarieties.