Thompson grubu F
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Özet (EN)
The subject of this thesis is some algebraic and model-theoretic properties of Thompson's group F, a very popular object to work with in algebra for the last 40 years. Most of the results that are considered in the thesis are rather well-known, and our main goal is to present their rather detailed proofs and to make them available for the undergraduate students. We start with some introductory material, covering the standard realizations, generators, and relations of the elements of F. Then we study the tree and the forest diagrams of F and apply those to obtain the normal form for the elements of F. Finally, we reproduce a proof of one recent result stating that the first-order theory of F is undecidable.
Yazar
Öznur Yeldan
Bu Yayına Nasıl Atıf Yapılır
Öznur Yeldan (Master Thesis). Thompson grubu F, 2008, Yeditepe University.
Anahtar Kelimeler
Lisans
Tüm Hakları Saklıdır
Bu eser belirtilen lisans koşulları altında paylaşılmaktadır.
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