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ABSTRACT. In the first, mostly expository, part of this paper, a graded Lie algebra is associated to every group G given with an N-series of subgroups.
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infinite metabelian, convergent presentation, finite derivation type, relator curves, geodesic bigons, uniformly exponential growth, confluent presentation, finitary automorphisms, finite vcd, dihedral representations, free group ring, linear quasiorder, coset enumeration method, monoid presentation, polycyclic presentation, left conjugacy, annular diagram, periodic cohomology, shortest counterexample, tetrahedron group, meridian discs, irreducible strings, small cancellation conditions, cancelling pairs, tree automorphisms
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London Math, New York, Cambridge University Press, Lecture Notes, Pure Appl, Theoretical Computer Science, George Havas, Fachbereich Informatik, World Scientific, Charles University, Mathematics Subject Classification, Springer Verlag, Academic Press, Eulerscher Charakteristik, Graduate Texts, Mikhael Gromov, Niveau Xmin, Princeton University Press
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