ESTIMATIONS OF THE GENERALIZED REIDEMEISTER NUMBERS II

  • Ahn, Soo Youp (Department of Mathematics Education Kon-Kuk University) ;
  • Lee, Eung Bok (Department of Liberal Arts DaeYoo Technical College) ;
  • Park, Ki Sung (Department of Mathematics Kangnam University)
  • Received : 1997.12.29
  • Published : 1998.02.28

Abstract

This paper is a continuation of [1]. Let ${\sigma}(X,x_0,G)$ be the fundamental group of a transformation group (X,G). Let $R({\varphi},{\psi})$ be the generalized Reidemeister number for an endomorphism $({\varphi},{\psi}:(X,G){\rightarrow}(X,G)$. The main results in this paper concern the conditions for $R({\varphi},{\psi})={\mid}Coker(1-({\varphi},{\psi})_{\bar{\sigma}}){\mid}$.

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