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On decidability of theories of finitely generated quasigroups in R-varieties of groups

โœ Scribed by L. V. Shabunin


Publisher
SP MAIK Nauka/Interperiodica
Year
1992
Tongue
English
Weight
787 KB
Volume
32
Category
Article
ISSN
0037-4466

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On the girth of finitely generated group
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