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JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive

Sibirsk. Mat. Zh., 2003 Volume 44, Number 4, Pages 772–778 (Mi smj1212)

This article is cited in 12 papers

Subquadratic growth of the averaged Dehn function for free Abelian groups

E. G. Kukina, V. A. Roman'kov

Omsk State University

Abstract: For finite rank free abelian groups with the standard presentation, the averaged Dehn function is proved to be subquadratic.

Keywords: averaged Dehn function, isoperimetric function, free abelian group, plane cristallographic group, Cayley graph.

UDC: 517.55

Received: 23.04.2002


 English version:
Siberian Mathematical Journal, 2003, 44:4, 605–610

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© Steklov Math. Inst. of RAS, 2024