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Semigroup actions, covering spaces and Schützenberger groups

✍ Scribed by Benjamin Steinberg


Publisher
Springer
Year
2010
Tongue
English
Weight
317 KB
Volume
81
Category
Article
ISSN
0037-1912

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Discrete actions on nilpotent Lie groups
✍ Boris Apanasov; Xiangdong Xie 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 266 KB

The aim of this paper is to study dynamics of a discrete isometry group action in a pinched Hadamard manifold nearby its parabolic fixed points. Due to Margulis Lemma, such an action on corresponding horospheres is virtually nilpotent, so we solve the problem by establishing a structural theorem for