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Doubles, Finiteness Properties of Groups, and Quadratic Isoperimetric Inequalities

✍ Scribed by Martin R Bridson

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
128 KB
Volume
214
Category
Article
ISSN
0021-8693

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✦ Synopsis

We describe a doubling construction that gives many new examples of groups that satisfy a quadratic isoperimetric inequality. Using this construction, we prove that the presence of a quadratic isoperimetric inequality does not constrain the Ž . higher finiteness properties of a group in contrast to the sub-quadratic case .

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