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Dehn functions of
groups and extensions of complexes
Stephen Gary Brick |
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Vol. 161 (1993), No. 1, 115–127
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Abstract |
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We study extensions of two-complexes and the Dehn functions (i.e. the isoperimetric inequalities) of their fundamental groups. If A ⊂ B are two complexes and their quotient X is diagramatically reducible then we obtain an upper bound for the Dehn function of π1(B) in terms of the Dehn functions of π1(A) and π1(X). In particular, we show that if the Dehn functions of π1(A) and π1(X) are bounded above by polynomials of degree n and m, then the Dehn function of π1(B) is bounded above by a polynomial of degree n ⋅ m. |
Mathematical Subject Classification 2000
Primary: 57M20
Secondary: 20F34
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Milestones
Received: 15 June 1991
Revised: 17 May 1992
Published: 1 November 1993
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Authors |
| Stephen Gary Brick | |
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