Jong Bum Lee

activity

20112022

most citedThe Nielsen and the Reidemeister numbers of maps on infra-solvmanifolds of type (R)

3 citations · 8 across the 9 of their papers we have counts for

collaborators

Showing 2014 · math.GRShow all

3 papers · 2 filters

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

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 $φ$ and study the asymptotic behavior of the sequence of the Reidemeister numbers of iterations $\{R(φ^k)\}…

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…

The R∞​ property for Houghton's groups

Reidemeister theory of iterations of endomorphisms and poly-Bieberbach groups

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

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