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On Isoperimetric Profiles of Finitely Generated Groups

โœ Scribed by Anna Erschler


Book ID
111554221
Publisher
Springer
Year
2003
Tongue
English
Weight
137 KB
Volume
100
Category
Article
ISSN
0046-5755

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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