Siberian Mathematical Journal

, Volume 44, Issue 4, pp 605–610 | Cite as

Subquadratic Growth of the Averaged Dehn Function for Free Abelian Groups

  • E. G. Kukina
  • V. A. Roman'kov


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

averaged Dehn function isoperimetric function free abelian group plane cristallographic group Cayley graph 


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Copyright information

© Plenum Publishing Corporation 2003

Authors and Affiliations

  • E. G. Kukina
    • 1
  • V. A. Roman'kov
    • 1
  1. 1.Omsk State UniversityRussia

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