3 citations · 8 across the 9 of their papers we have counts for
6 papers · 1 filter
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 property for crystallographic group of Sol
Ku Yong Ha, Jong Bum Lee
There are 9 kinds of crystallographic groups of Sol. For any automorphism on , we study the Reidemeister number . Using the averaging formula for the Reidemeister…
Density of the homotopy minimal periods of maps on infra-solvmanifolds
Jong Bum Lee, Xuezhi Zhao
We study the homotopical minimal periods for maps on infra-solvmanifolds of type (R) using the density of the homotopical minimal period set in the natural numbers. This extends th…
The Nielsen numbers of iterations of maps on infra-solvmanifolds of type and periodic points
Alexander Fel'shtyn, Jong Bum Lee
We study the asymptotic behavior of the sequence of the Nielsen numbers , the essential periodic orbits of and the homotopy minimal periods of by using the Niel…