Ascending HNN extensions of polycyclic groups are residually finite. (Q1812031)

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scientific article; zbMATH DE number 1930191
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Ascending HNN extensions of polycyclic groups are residually finite.
scientific article; zbMATH DE number 1930191

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    Ascending HNN extensions of polycyclic groups are residually finite. (English)
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    18 June 2003
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    The main result of the article is Theorem 1.1, proving that every HNN extension of a polycyclic-by-finite group is residually finite. The authors also prove that every ascending HNN extension of a group is residually finite iff this group is ascending residually finite.
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    ascending HNN extensions
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    polycyclic groups
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    residually finite groups
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