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Proceedings of the American Mathematical Society

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Limit sets and convex cocompact groups in higher rank symmetric spaces


Author: Sungwoon Kim
Journal: Proc. Amer. Math. Soc.
MSC (2010): Primary 53C35, 22E40
DOI: https://doi.org/10.1090/proc/14228
Published electronically: August 10, 2018
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Abstract: We show that every limit point of a Zariski dense discrete subgroup $ \Gamma $ of the isometry group of a symmetric space of noncompact type is conical if and only if $ \Gamma $ is convex cocompact.


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Additional Information

Sungwoon Kim
Affiliation: Department of Mathematics, Jeju National University, 102 Jejudaehak-ro, Jeju, 63243, Republic of Korea
Email: sungwoon@jejunu.ac.kr

DOI: https://doi.org/10.1090/proc/14228
Keywords: Conical limit point, convex cocompact group, symmetric space
Received by editor(s): January 11, 2018
Received by editor(s) in revised form: April 30, 2018
Published electronically: August 10, 2018
Additional Notes: This work was supported by a research grant of Jeju National University in 2017.
Communicated by: Kenneth Bromberg
Article copyright: © Copyright 2018 American Mathematical Society

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