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Metric Properties and Distortion in Nilpotent Groups

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Extended Abstracts Fall 2012

Part of the book series: Trends in Mathematics ((RPCRMB,volume 1))

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References

  1. M.R. Bridson, Fractional isoperimetric inequalities and subgroup distortion. J. Am. Math. Soc. 12(4), 1103–1118 (1999)

    Article  MATH  MathSciNet  Google Scholar 

  2. M. Gromov, Asymptotic Invariants of Infinite Groups, Geometric Group Theory, Vol. 2, Sussex, 1991. London Mathematical Society Lecture Note Series, vol. 182 (Cambridge University Press, Cambridge, 1993), pp. 1–295

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  3. A.Y. Ol’shanskiĭ, On the distortion of subgroups of finitely presented groups. Math. Sb. 188(11), 51–98 (1997)

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  4. A.Y. Ol’shanskiĭ, M.V. Sapir, Length and area functions on groups and quasi-isometric Higman embeddings. Int. J. Algebra Comput. 11(2), 137–170 (2001)

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  5. D.V. Osin, Subgroup distortions in nilpotent groups. Comm. Algebra 29(12), 5439–5463 (2001)

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Correspondence to José Burillo .

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Burillo, J., Platón, E.L. (2014). Metric Properties and Distortion in Nilpotent Groups. In: González-Meneses, J., Lustig, M., Ventura, E. (eds) Extended Abstracts Fall 2012. Trends in Mathematics(), vol 1. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-05488-9_4

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