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On the girth of finitely generated groups

โœ Scribed by Azer Akhmedov


Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
199 KB
Volume
268
Category
Article
ISSN
0021-8693

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โœฆ Synopsis


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) has infinite girth.


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