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- Matsumoto Shigenori
- Department of Mathematics College of Science and Technology Nihon University
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説明
<p>A left order of a countable group 𝐺 is called isolated if it is an isolated point in the compact space 𝐿𝑂(𝐺) of all the left orders of 𝐺. We study properties of a dynamical realization of an isolated left order. Especially we show that it acts on ℝ cocompactly. As an application, we give a dynamical proof of the Tararin theorem which characterizes those countable groups which admit only finitely many left orders. We also show that the braid group 𝐵3 admits countably many isolated left orders which are not the automorphic images of the others.</p>
収録刊行物
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- Journal of the Mathematical Society of Japan
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Journal of the Mathematical Society of Japan 72 (1), 185-211, 2020
一般社団法人 日本数学会
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詳細情報 詳細情報について
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- CRID
- 1390846609799238656
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- NII論文ID
- 130007789870
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- NII書誌ID
- AA0070177X
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- ISSN
- 18811167
- 18812333
- 00255645
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- NDL書誌ID
- 030200132
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- 本文言語コード
- en
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- 資料種別
- journal article
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- NDLサーチ
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