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On finitely generated soluble linear groups

โœ Scribed by Bertram A. F. Wehrfritz

Publisher
Springer-Verlag
Year
1980
Tongue
French
Weight
681 KB
Volume
170
Category
Article
ISSN
0025-5874

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On the girth of finitely generated group
On the girth of finitely generated groups
โœ Azer Akhmedov ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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