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Subsemigroups of finitely generated groups with divisor-theory

✍ Scribed by Günter Lettl


Publisher
Springer Vienna
Year
1988
Tongue
English
Weight
290 KB
Volume
106
Category
Article
ISSN
0026-9255

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On the girth of finitely generated group
✍ Azer Akhmedov 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 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