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Abstract
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We present a full description of the Bieri–Neumann–Strebel invariant of restricted
permutational wreath products of groups. We also give partial results about the
-dimensional
homotopical invariant of such groups. These results may be turned into a full picture
of these invariants when the abelianization of the basis group is infinite. We apply
these descriptions to the study of the Reidemeister number of automorphisms of
wreath products in some specific cases.
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Keywords
sigma theory, wreath product, twisted conjugacy
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Mathematical Subject Classification 2010
Primary: 20E22, 20F65
Secondary: 20E45
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Milestones
Received: 15 September 2017
Revised: 15 May 2018
Accepted: 25 May 2018
Published: 2 February 2019
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