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On uniqueness of JSJ decompositions of finitely generated groups

✍ Scribed by Max Forester


Publisher
European Mathematical Society
Year
2003
Tongue
English
Weight
175 KB
Volume
78
Category
Article
ISSN
0010-2571

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On the girth of finitely generated group
✍ Azer Akhmedov πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 199 KB

We study the notion of girth for finitely generated groups. It is proved that if the girth is 'small' then the group necessarily satisfies a law. A general construction is presented which provides examples of groups with infinite girth not containing nonabelian free group. We also prove that SL(n, Z