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- W2036321831 abstract "We define a group to be translation proper if it carries a leftinvariant metric in which the translation numbers of the non-torsion elements are nonzero and translation discrete if they are bounded away from zero. The main results of this paper are that a translation proper solvable group of finite virtual cohomological dimension is metabelian-by-finite, and that a translation discrete solvable group of finite virtual cohomological dimension, m, is a finite extension of Zm." @default.
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- W2036321831 date "2000-01-05" @default.
- W2036321831 modified "2023-09-28" @default.
- W2036321831 title "Discreteness properties of translation numbers in solvable groups" @default.
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- W2036321831 doi "https://doi.org/10.1515/jgth.2000.007" @default.
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