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Volumn 7, Issue 1, 2008, Pages 1-25

Product theorems in SL2 and SL3

Author keywords

Nilpotent group; Product theorem; Subspace theorem; Trace amplification

Indexed keywords


EID: 36448965682     PISSN: 14747480     EISSN: 14753030     Source Type: Journal    
DOI: 10.1017/S1474748007000126     Document Type: Article
Times cited : (19)

References (12)
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    • B. BARAK, R. IMPAGLIAZZO AND A. WIGDERSON, Extracting randomness using few independent sources, in Proc. 45th Annual IEEE Symposium on Foundations of Computer Science, 2004, pp. 384-393 (IEEE, Piscataway, NJ, 2004) (see also SIAM J. Comput. 36(3) (2006)).
  • 2
    • 34848820045 scopus 로고    scopus 로고
    • Simulating independence: New constructions of condensers, Ramsey graphs, dispersers, and extractors
    • Association for Computing Machinery, New York
    • B. BARAK, G. KINDLER, R. SHALTIEL, B. SUDAKOV AND A. WIGDERSON, Simulating independence: New constructions of condensers, Ramsey graphs, dispersers, and extractors, in Proc. 37th Ann. ACM Symp. Theory of Computing, pp. 1-10 (Association for Computing Machinery, New York, 2005).
    • (2005) Proc. 37th Ann. ACM Symp. Theory of Computing , pp. 1-10
    • BARAK, B.1    KINDLER, G.2    SHALTIEL, R.3    SUDAKOV, B.4    WIGDERSON, A.5
  • 3
    • 1842813331 scopus 로고    scopus 로고
    • On the size of k-fold sum and product sets of integers
    • J. BOURGAIN AND M.-C. CHANG, On the size of k-fold sum and product sets of integers, J. Am. Math. Soc. 17(2) (2003), 473-497.
    • (2003) J. Am. Math. Soc , vol.17 , Issue.2 , pp. 473-497
    • BOURGAIN, J.1    CHANG, M.-C.2
  • 4
    • 33646375214 scopus 로고    scopus 로고
    • Estimates for the number of sums and products and for exponential sums in fields of prime order
    • J. BOURGAIN, A. GLIBICHUK AND S. KONYAGIN, Estimates for the number of sums and products and for exponential sums in fields of prime order, J. Lond. Math. Soc. 73(2) (2006), 380-298.
    • (2006) J. Lond. Math. Soc , vol.73 , Issue.2 , pp. 380-298
    • BOURGAIN, J.1    GLIBICHUK, A.2    KONYAGIN, S.3
  • 5
    • 36448957143 scopus 로고    scopus 로고
    • On uniform exponential growth for solvable groups
    • preprint
    • E. BREUILLARD, On uniform exponential growth for solvable groups, preprint.
    • BREUILLARD, E.1
  • 6
    • 36448986697 scopus 로고    scopus 로고
    • Sum and product of different sets
    • M.-C. CHANG, Sum and product of different sets, Contrib. Discr. Math. 1(1) (2006), 57-67.
    • (2006) Contrib. Discr. Math , vol.1 , Issue.1 , pp. 57-67
    • CHANG, M.-C.1
  • 7
    • 15444362862 scopus 로고    scopus 로고
    • On uniform exponential growth for linear groups
    • A. ESKIN, S. MOZES AND H. OH, On uniform exponential growth for linear groups, Invent. Math. 160 (2005), 1-30.
    • (2005) Invent. Math , vol.160 , pp. 1-30
    • ESKIN, A.1    MOZES, S.2    OH, H.3
  • 8
    • 0036587620 scopus 로고    scopus 로고
    • Linear equations in variables which lie in a multiplicative group
    • J.-H. EVERTSE, H. SCHLICKEWEI AND W. SCHMIDT, Linear equations in variables which lie in a multiplicative group, Ann. Math. 155 (2002), 807-836.
    • (2002) Ann. Math , vol.155 , pp. 807-836
    • EVERTSE, J.-H.1    SCHLICKEWEI, H.2    SCHMIDT, W.3
  • 9
    • 51649160427 scopus 로고
    • Groups of polynomial growth and expanding maps
    • M. GROMOV, Groups of polynomial growth and expanding maps, Publ. Math. IHES 53 (1981), 53-73.
    • (1981) Publ. Math. IHES , vol.53 , pp. 53-73
    • GROMOV, M.1
  • 12
    • 0000644892 scopus 로고
    • Free subgroups in linear groups
    • J. TITS, Free subgroups in linear groups, J. Alg. 20 (1972), 250-270.
    • (1972) J. Alg , vol.20 , pp. 250-270
    • TITS, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.