3 citations · 8 across the 9 of their papers we have counts for
5 papers · 1 filter
Growth rate of endomorphisms of Houghton's groups
Jong Bum Lee, Sang Rae Lee
A Houghton's group consists of translations at infinity of a rays of discrete points on the plane. In this paper we study the growth rate of endomorphisms of Ho…
The property for Houghton's groups
Jang Hyun Jo, Jong Bum Lee, Sang Rae Lee
We study twisted conjugacy classes of a family of groups which are called Houghton's groups (), the group of translations of rays of discrete p…
Reidemeister theory of iterations of endomorphisms and poly-Bieberbach groups
Alexander Fel'shtyn, Jong Bum Lee
We develop the Reidemeister theory of iterations of a group endomorphism and study the asymptotic behavior of the sequence of the Reidemeister numbers of iterations $\{R(φ^k)\}…
Growth rate for endomorphisms of finitely generated nilpotent groups and solvable groups
Alexander Fel'shtyn, Jang Hyun Jo, Jong Bum Lee
We prove that the growth rate of an endomorphism of a finitely generated nilpotent group equals to the growth rate of induced endomorphism on its abelinization, generalizing the co…
The Nielsen and the Reidemeister numbers of maps on infra-solvmanifolds of type (R)
Alexander Fel'shtyn, Jong Bum Lee
We prove the rationality, the functional equations and calculate the radii of convergence of the Nielsen and the Reidemeister zeta functions of continuous maps on infra-solvmanifol…