On projective Anosov subgroups of symplectic groups: research article
We prove that a word hyperbolic group whose Gromovboundary properly contains a 2-sphere cannot admita projective Anosov representation into 𝖲𝗉2𝑚(ℂ),𝑚∈ℕ. We also prove that a word hyperbolic group thatadmits a projective Anosov representation into 𝖲𝗉2𝑚(ℝ) is virtually a free group or virtually a surf...
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| Hauptverfasser: | , |
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| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
04 November 2023
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| Ausgabe: | Online version of record before inclusion in an issue |
| In: |
Bulletin of the London Mathematical Society
Year: 2023, Pages: 1-8 |
| ISSN: | 1469-2120 |
| DOI: | 10.1112/blms.12951 |
| Online-Zugang: | Verlag, kostenfrei, Volltext: https://doi.org/10.1112/blms.12951 Verlag, kostenfrei, Volltext: https://onlinelibrary.wiley.com/doi/abs/10.1112/blms.12951 
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| Verfasserangaben: | Maria Beatrice Pozzetti, Konstantinos Tsouvalas |
| Zusammenfassung: | We prove that a word hyperbolic group whose Gromovboundary properly contains a 2-sphere cannot admita projective Anosov representation into 𝖲𝗉2𝑚(ℂ),𝑚∈ℕ. We also prove that a word hyperbolic group thatadmits a projective Anosov representation into 𝖲𝗉2𝑚(ℝ) is virtually a free group or virtually a surface group,a result established independently by Dey–Greenberg–Riestenberg. |
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| Beschreibung: | Gesehen am 19.01.2024 |
| Beschreibung: | Online Resource |
| ISSN: | 1469-2120 |
| DOI: | 10.1112/blms.12951 |