Subquadratic Growth of the Averaged Dehn Function for Free Abelian Groups

E. G. Kukina, В. А. Романьков · Siberian Mathematical Journal · 2003

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Type: article
Published: 2003-07-01
Cited by: 13
References: 7
DOI: https://doi.org/10.1023/a:1024776205243
OpenAlex: https://openalex.org/W32166507
Semantic Scholar: https://api.semanticscholar.org/CorpusID:116128859

Keywords

Mathematics, Abelian group, Pure mathematics, Rank (graph theory), Combinatorics

References

Asymptotic invariants of infinite groupsMikhael Gromov, Graham A. Niblo, Martin A. Roller — 1993
Word processing in groupsD. B. A. Epstein — 1992
ON SOME ALGORITHMIC PROPERTIES OF HYPERBOLIC GROUPSIgor Lysenok — 1990
Generators and relations for discrete groupsH. S. M. Coxeter, W. O. J. Moser — 1957
A short proof that a subquadratic isoperimetric inequality implies a linear one.Β. H. Bowditch — 1995
Hyperbolicity of Groups with Subquadratic isoperimetric inequalityA. Yu. Olshanskii — 1991
An Introduction to Probability Theory and Its ApplicationsL. H., William Feller — 1959
An introduction to probability theory and its applications1958
Generators and Relations for Discrete GroupsH. S. M. Coxeter, W. O. J. Moser — 1980
An Introduction to Probability Theory and Its Applications, Vol. 1William Feller — 1968

Cited by

On systems of equations in free abelian groupsAnton Menshov — 2014
Random equations in nilpotent groupsRobert H. Gilman, Alexei Myasnikov, В. А. Романьков — 2011
Random equations in free groupsRobert H. Gilman, Alexei Myasnikov, Roman'kov Vitali — 2011
Averaged Dehn functions for nilpotent groupsRobert M. Young — 2005
The mean Dehn functions of abelian groupsOleg Bogopolski, Enric Ventura — 2006
Random systems of equations in free abelian groupsAnton Menshov — 2014
Asymptotic growth of averaged Dehn functions for nilpotent groupsВ. А. Романьков — 2007
Exponentially generic subsets of groupsRobert H. Gilman, Alexei Miasnikov, Denis Osin — 2010
Subcubic Growth of the Averaged Dehn Function for a Class 2 Nilpotent GroupВ. А. Романьков — 2005
The averaged Dehn function relative to a given probability measureE. G. Kukina — 2006
Regular Sets and Counting in Free GroupsElizaveta Frenkel, Alexei Myasnikov, В. Н. Ремесленников — 2009

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