ON KLEINIAN GROUPS WITH THE SAME SET OF AXES

J. W. Anderson (1996) asked whether two finitely generated Kleinian groups $G_{1}, G_{2}\subset \mathrm {Isom}(\mathbb {H}^{n})$ with the same set of axes are commensurable. We give some partial solutions.

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Bibliographic Details
Published inBulletin of the Australian Mathematical Society Vol. 78; no. 3; pp. 437 - 441
Main Authors XIE, BAOHUA, JIANG, YUEPING
Format Journal Article
LanguageEnglish
Published Cambridge, UK Cambridge University Press 01.12.2008
Subjects
20H10
30F40
commensurable
geometrical finiteness
Kleinian groups
30F40
commensurable
20H10
geometrical finiteness
Kleinian groups
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Summary:J. W. Anderson (1996) asked whether two finitely generated Kleinian groups $G_{1}, G_{2}\subset \mathrm {Isom}(\mathbb {H}^{n})$ with the same set of axes are commensurable. We give some partial solutions.
Bibliography:ark:/67375/6GQ-L7F4KN00-V
ArticleID:00081
PII:S0004972708000816
istex:98DA499596446BF659FD2B82802743F5A6BA1FFA
ISSN:0004-9727
1755-1633
DOI:10.1017/S0004972708000816