Alexander Fel'shtyn

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

    Authors: Alexander Fel'shtyn, Daciberg L. Gonçalves
    Subjects: Group Theory
    Abstract

    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.

  2. Geometry of Reidemeister classes and twisted Burnside theorem.

    Authors: Alexander Fel'shtyn, Evgenij Troitsky
    Subjects: Group Theory
    Abstract

    This is a (mostly expository) paper on Reidemeister classes, twisted
    Burnside-Frobenius theory, congruences, R-infinity property and all that. It
    was written in 2005 and published in 2008. We post it as it was, only the
    bibliography data is updated.

  3. Geometry of Reidemeister classes and twisted Burnside theorem.

    Authors: Alexander Fel'shtyn, Evgenij Troitsky
    Subjects: Group Theory
    Abstract

    This is a (mostly expository) paper on Reidemeister classes, twisted
    Burnside-Frobenius theory, congruences, R-infinity property and all that. It
    was written in 2005 and published in 2008. We post it as it was, only the
    bibliography data is updated.

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