Bounded Conjugators For Real Hyperbolic and Unipotent Elements in Semisimple Lie Groups

Abstract

Let $G$ be a real semisimple Lie group with trivial centre and no compact factors. Given a conjugate pair of either real hyperbolic elements or unipotent elements $a$ and $b$ in $G$ we find a conjugating element $g\in G$ such that $d_G(1,g)\le L(d_G(1,u)+d_G(1,v))$, where $L$ is a positive constant which will depend on some property of $a$ and $b$. For the vast majority of such elements however, $L$ can be assumed to be a uniform constant.

44 pages; 11 figures; 2 tables; 1 appendix

References in corpus (4)

• Tits Geometry, Arithmetic Groups and the Proof of a Conjecture of Siegel
• Conjugacy Length in Group Extensions
• Linearly Bounded Conjugator Property for Mapping Class Groups
• Metric Behaviour of the Magnus Embedding

Cited by in corpus (1)

• Conjugacy Length in Group Extensions