NDLI: Un lemme de Kazhdan-Margulis-Zassenhaus pour les g\'eom\'etries de Hilbert

Content Provider	Semantic Scholar
Author	Crampon, Mickael Marquis, Ludovic
Copyright Year	2011
Abstract	We prove a Kazhdan-Margulis-Zassenhaus lemma for Hilbert geometries. More precisely, in every dimension $n$ there exists a constant $\varepsilon_n > 0$ such that, for any properly open convex set $\O$ and any point $x \in \O$, any discrete group generated by a finite number of automorphisms of $\O$, which displace $x$ at a distance less than $\varepsilon_n$, is virtually nilpotent.
Starting Page	363
Ending Page	376
Page Count	14
File Format	PDF HTM / HTML
DOI	10.5802/ambp.330
Alternate Webpage(s)	https://ambp.centre-mersenne.org/article/AMBP_2013__20_2_363_0.pdf
Alternate Webpage(s)	https://hal.archives-ouvertes.fr/hal-00600671/document
Alternate Webpage(s)	https://arxiv.org/pdf/1106.3156v3.pdf
Alternate Webpage(s)	https://doi.org/10.5802/ambp.330
Language	English
Access Restriction	Open
Content Type	Text
Resource Type	Article

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