Jong Bum Lee

most citedThe

R_{\infty}

property for Houghton's groups

1 citations · 2 across the 4 of their papers we have counts for

collaborators

4 papers

math.GR2014★ 1 cited

The $R_{\infty}$ 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 $H_{n}$ ( $n \in N$ ), the group of translations of $n$ rays of discrete p…

math.GR2014★ 1 cited

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…

math.AT2014

The $R_{\infty}$ property for crystallographic group of Sol

Ku Yong Ha, Jong Bum Lee

There are 9 kinds of crystallographic groups $Π$ of Sol. For any automorphism $φ$ on $Π$ , we study the Reidemeister number $R (φ)$ . Using the averaging formula for the Reidemeister…

math.DS2014

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 R∞​ property for Houghton's groups

Growth rate for endomorphisms of finitely generated nilpotent groups and solvable groups

The R∞​ property for crystallographic group of Sol

Density of the homotopy minimal periods of maps on infra-solvmanifolds

The $R_{\infty}$ property for Houghton's groups

The $R_{\infty}$ property for crystallographic group of Sol