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On linear groups over a field of fractions of a polycyclic group ring

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Abstract

LetG be a torsion free polycyclic-by-finite group andD be the field of fractions of the group algebraKG. Then any periodic subgroup ofD n is locally finite. This answers a question posed by D. Farkas.

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Authors and Affiliations

  1. Department of Mathematics, Ben Gurion University of the Negev, Beer Sheva, Israel

    A. I. Lichtman

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  1. A. I. Lichtman
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Lichtman, A.I. On linear groups over a field of fractions of a polycyclic group ring. Israel J. Math. 42, 318–326 (1982). https://doi.org/10.1007/BF02761413

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  • DOI: https://doi.org/10.1007/BF02761413

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