Reidemeister spectrum for metabelian groups of the form ${Q}^n\rtimes \mathbb Z$ and ${\mathbb Z[1/p]}^n\rtimes \mathbb Z$, $p$ prime

Mathematics – Group Theory

Scientific paper

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21 pages

Scientific paper

In this note we study the Reidemeister spectrum for metabelian groups of the
form ${\mathbb Q}^n\rtimes \mathbb Z$ and ${\mathbb Z[1/p]}^n\rtimes \mathbb
Z$. Particular attention is given to the $R_{\infty}$ property of a subfamily
of these groups. We also define a Nielsen spectrum of a space and discuss some
examples.

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