From polynomial growth to metric balls in monomial groups

[1]  Mei-Chu Chang.  A polynomial bound in Freiman's theorem , 2002 .

[2]  H. Bray,et al.  Between Nilpotent and Solvable , 1982 .

[3]  W. T. Gowers,et al.  Quasirandom Groups , 2007, Combinatorics, Probability and Computing.

[4]  I. Isaacs.  Character Theory of Finite Groups , 1976 .

[5]  M. Gromov.  Groups of polynomial growth and expanding maps , 1981 .

[6]  Mei-Chu Chang,et al.  Additive and Multiplicative Structure in Matrix Spaces , 2007, Combinatorics, Probability and Computing.

[7]  T. Tao,et al.  On the singularity probability of random Bernoulli matrices , 2005, math/0501313.

[8]  Jean Bourgain,et al.  On Triples in Arithmetic Progression , 1999 .

[9]  E. Szemerédi,et al.  Long Arithmetic Progressions in Sum‐Sets and the Number x‐Sum‐Free Sets , 2005 .

[10]  W. T. Gowers,et al.  A New Proof of Szemerédi's Theorem for Arithmetic Progressions of Length Four , 1998 .

[11]  J. Wolf.  Growth of finitely generated solvable groups and curvature of Riemannian manifolds , 1968 .

[12]  B. Green.  A Szemerédi-type regularity lemma in abelian groups, with applications , 2003, math/0310476.

[13]  E. Lindenstrauss.  Pointwise theorems for amenable groups , 1999 .

[14]  Zoltán Király,et al.  On the Combinatorics of Projective Mappings , 2001 .

[15]  Ben Green,et al.  AN INVERSE THEOREM FOR THE GOWERS $U^3(G)$ NORM , 2008, Proceedings of the Edinburgh Mathematical Society.

[16]  Hyman Bass,et al.  The Degree of Polynomial Growth of Finitely Generated Nilpotent Groups , 1972 .

[17]  Imre Z. Ruzsa,et al.  Generalized arithmetical progressions and sumsets , 1994 .

[18]  Yury Makarychev,et al.  Eigenvalue multiplicity and volume growth , 2008 .

[19]  B. Green,et al.  Freiman's theorem in an arbitrary abelian group , 2005, math/0505198.

[20]  Terence Tao,et al.  A sum-product estimate in finite fields, and applications , 2003, math/0301343.