Free products in varieties of lattice-ordered groups
Jorge Martinez (1972)
Czechoslovak Mathematical Journal
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Jorge Martinez (1972)
Czechoslovak Mathematical Journal
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A. Hulanicki (1967)
Colloquium Mathematicae
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Jacek Michalski (1984)
Fundamenta Mathematicae
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László Fuchs, Gerhardus Viljoen (1999)
Czechoslovak Mathematical Journal
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Benjamin Fine, Gerhard Rosenberger, Michael Stille (1997)
Revista Matemática de la Universidad Complutense de Madrid
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Here we consider two classes of torsion-free one-relator groups which have proved quite amenable to study-the cyclically pinched one-relator groups and the conjugacy pinched one-relator groups. The former is the class of groups which are free products of free groups with cyclic amalgamations while the latter is the class of HNN extensions of free groups with cyclic associated subgroups. Both are generalizations of surface groups. We compare and contrast results in these classes relative...