arXiv Open Access 2000

Countable structure does not have a free uncountable automorphism group

Saharon Shelah

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Abstrak

Solecki proved that the group of automorphisms of a countable structure cannot be an uncountable free abelian group. See more in Just, Shelah and Thomas math.LO/0003120 where as a by product we can say something on on uncountable structures. We prove here the following Theorem: If A is a countable model, then Aut(M) cannot be a free uncountable group.

Topik & Kata Kunci

math.LO

Penulis (1)

Saharon Shelah

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APA MLA BibTeX

Shelah, S. (2000). Countable structure does not have a free uncountable automorphism group. https://arxiv.org/abs/math/0010305

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Tahun Terbit: 2000
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓