Super-exponential 2-dimensional Dehn functions
Groups, geometry, and dynamics, Tome 6 (2012) no. 1, pp. 1-51

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DOI

We produce examples of groups of type F3​ with 2-dimensional Dehn functions of the form expn(x) (a tower of exponentials of height n), where n is any natural number.
DOI : 10.4171/ggd/149
Classification : 20-XX, 57-XX, 00-XX
Mots-clés : 2-dimensional Dehn function, filling volume, admissible map, area distortion

Josh Barnard  1   ; Noel Brady  2   ; Pallavi Dani  3

1 University of South Alabama, Mobile, USA
2 University of Oklahoma, Norman, United States
3 Louisiana State University, Baton Rouge, USA
Josh Barnard; Noel Brady; Pallavi Dani. Super-exponential 2-dimensional Dehn functions. Groups, geometry, and dynamics, Tome 6 (2012) no. 1, pp. 1-51. doi: 10.4171/ggd/149
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     title = {Super-exponential 2-dimensional {Dehn} functions},
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     pages = {1--51},
     year = {2012},
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     number = {1},
     doi = {10.4171/ggd/149},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/149/}
}
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