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On the equationf(x)=ymover finitely generated domains

✍ Scribed by B. Brindza


Publisher
Akadmiai Kiad
Year
1989
Tongue
English
Weight
359 KB
Volume
53
Category
Article
ISSN
1588-2632

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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