2012•Mathematica SlovacaOpen access

Residual finiteness, subgroup separability and conjugacy separability of certain HNN extensions

K. Wong, Peter N.-S. Wong

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Abstract

Abstract In this note we shall give characterisations for HNN extensions of non-cyclic polycyclic-by-finite groups with normal infinite cyclic associated subgroups to be residually finite, subgroup separable and conjugacy separable.

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What this paper is about

Abstract In this note we shall give characterisations for HNN extensions of non-cyclic polycyclic-by-finite groups with normal infinite cyclic associated subgroups to be residually finite, subgroup separable and conjugacy separable.

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Available abstract

Abstract In this note we shall give characterisations for HNN extensions of non-cyclic polycyclic-by-finite groups with normal infinite cyclic associated subgroups to be residually finite, subgroup separable and conjugacy separable.

Key concepts: Mathematics, Residual, Conjugacy class, Pure mathematics, Statistics, Algorithm

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