Description

• Title:
  Reidemeister numbers
• Creator:
  Fel'shtyn, Alexander
• Description:
  In [A. L. Fel’shtyn and R. Hill, < i> The Reidemeister zeta function with applications to Nielsen theory and connection with Reidemeister torsion< /i> , K-Theory < b> 8< /b> (1994), 367–393] we have conjectured that the Reidemeister number is infinite as long as an endomorphism of a discrete group is injective and the group has exponential growth. In the paper we prove this conjecture for any automorphism of a non-elementary, Gromov hyperbolic group. We also prove some generalisations of this result. The main results of the paper have topological counterparts.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2003.03.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 21, No 1 (March 2003); 147 - 154;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2003.009/9620
• Subject:
  Reidemeister number;
  twisted conjugacy classes;
  Gromov hyperbolic group;
  fundamental group;
  20F34;
  55M20
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2003.009
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other