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Volumn 13, Issue 5, 2011, Pages 1331-1341

Finite simple groups of Lie type as expanders

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EID: 79960499659     PISSN: 14359855     EISSN: None     Source Type: Journal    
DOI: 10.4171/JEMS/282     Document Type: Article
Times cited : (15)

References (25)
  • 1
    • 33646142291 scopus 로고    scopus 로고
    • New results on expanders
    • DOI 10.1016/j.crma.2006.02.032, PII S1631073X06000963
    • Bourgain, J., Gamburd, A.: New results on expanders. C. R. Math. Acad. Sci. Paris 342, 717-721 (2006) Zbl 1089.05031 MR 2227746 (Pubitemid 43632570)
    • (2006) Comptes Rendus Mathematique , vol.342 , Issue.10 , pp. 717-721
    • Bourgain, J.1    Gamburd, A.2
  • 2
    • 85009806236 scopus 로고
    • Small-diameter Cayley graphs for finite simple groups
    • Zbl 0702.05042 MR 1022771
    • Babai, L., Kantor, W. M., Lubotzky, A.: Small-diameter Cayley graphs for finite simple groups. Eur. J. Combin. 10, 507-522 (1989) Zbl 0702.05042 MR 1022771
    • (1989) Eur. J. Combin. , vol.10 , pp. 507-522
    • Babai, L.1    Kantor, W.M.2    Lubotzky, A.3
  • 4
    • 34249972050 scopus 로고
    • Proof of the Petersson conjecture for GL(2) over a global field of characteristic p
    • 96, (in Russian)
    • Drinfel'd, V. G.: Proof of the Petersson conjecture for GL(2) over a global field of characteristic p. Funktsional. Anal. i Prilozhen. 22, no. 1, 34-54, 96 (1988) (in Russian);
    • (1988) Funktsional. Anal. i Prilozhen. , vol.22 , Issue.1 , pp. 34-54
    • Drinfel'd, V.G.1
  • 5
    • 79960511889 scopus 로고
    • English transl., Zbl 0662.12012 MR 0936697
    • English transl.: Funct. Anal. Appl. 22, no. 1, 28-43 (1988) Zbl 0662.12012 MR 0936697
    • (1988) Funct. Anal. Appl. , vol.22 , Issue.1 , pp. 28-43
  • 6
    • 84884072095 scopus 로고
    • Caractérisation des groupes de Ree
    • Zbl 0716.20010 MR 0873958
    • Enguehard, M.: Caractérisation des groupes de Ree. Astérisque 142-143, 49-139, 296 (1986) Zbl 0716.20010 MR 0873958
    • (1986) Astérisque , vol.142-143 , Issue.49-139 , pp. 296
    • Enguehard, M.1
  • 7
    • 75249106141 scopus 로고    scopus 로고
    • Field arithmetic
    • 3rd ed., Springer, Berlin, Zbl 1145.12001 MR 2445111
    • Fried, M., Jarden, M.: Field Arithmetic. 3rd ed., Ergeb. Math. Grenzgeb. 11, Springer, Berlin (2008) Zbl 1145.12001 MR 2445111
    • (2008) Ergeb. Math. Grenzgeb. , vol.11
    • Fried, M.1    Jarden, M.2
  • 9
    • 36048978678 scopus 로고    scopus 로고
    • Uniform Kazhdan constant for some families of linear groups
    • Zbl 1148.20032 MR 2371961
    • Hadad, U.: Uniform Kazhdan constant for some families of linear groups. J. Algebra 318, 607-618 (2007) Zbl 1148.20032 MR 2371961
    • (2007) J. Algebra , vol.318 , pp. 607-618
    • Hadad, U.1
  • 10
    • 77957673092 scopus 로고    scopus 로고
    • Kazhdan constants of groups extensions
    • Zbl pre05803474 MR 2726569
    • Hadad, U.: Kazhdan constants of groups extensions. Int. J. Algebra Comput. 20, 671-688 (2010) Zbl pre05803474 MR 2726569
    • (2010) Int. J. Algebra Comput. , vol.20 , pp. 671-688
    • Hadad, U.1
  • 11
    • 84941393965 scopus 로고
    • Definable subgroups of algebraic groups over finite fields
    • Zbl 0823.12005 MR 1329903
    • Hrushovski, E., Pillay, A.: Definable subgroups of algebraic groups over finite fields. J. Reine Angew. Math. 462, 69-91 (1992) Zbl 0823.12005 MR 1329903
    • (1992) J. Reine Angew. Math. , vol.462 , pp. 69-91
    • Hrushovski, E.1    Pillay, A.2
  • 12
    • 34848914478 scopus 로고    scopus 로고
    • Universal lattices and unbounded rank expanders
    • Zbl 1140.20039 MR 2342638
    • Kassabov, M.: Universal lattices and unbounded rank expanders. Invent. Math. 170, 297-326 (2007) Zbl 1140.20039 MR 2342638
    • (2007) Invent. Math. , vol.170 , pp. 297-326
    • Kassabov, M.1
  • 13
    • 34848824034 scopus 로고    scopus 로고
    • Symmetric groups and expander graphs
    • Zbl 1191.20002 MR 2342639
    • Kassabov, M.: Symmetric groups and expander graphs. Invent. Math. 170, 327-354 (2007) Zbl 1191.20002 MR 2342639
    • (2007) Invent. Math. , vol.170 , pp. 327-354
    • Kassabov, M.1
  • 14
    • 33646560033 scopus 로고    scopus 로고
    • Finite simple groups as expanders
    • Zbl 1161.20010 MR 2221038
    • Kassabov, M., Lubotzky, A., Nikolov, N.: Finite simple groups as expanders. Proc. Nat. Acad. Sci. USA 103, 6116-6119 (2006) Zbl 1161.20010 MR 2221038
    • (2006) Proc. Nat. Acad. Sci. USA , vol.103 , pp. 6116-6119
    • Kassabov, M.1    Lubotzky, A.2    Nikolov, N.3
  • 15
    • 33744540790 scopus 로고    scopus 로고
    • Universal lattices and property tau
    • DOI 10.1007/s00222-005-0498-0
    • Kassabov, M., Nikolov, N.: Universal lattices and property tau. Invent. Math. 165, 209-224 (2006) Zbl 1139.19003 MR 2221141 (Pubitemid 43814425)
    • (2006) Inventiones Mathematicae , vol.165 , Issue.1 , pp. 209-224
    • Kassabov, M.1    Nikolov, N.2
  • 16
    • 0036981897 scopus 로고    scopus 로고
    • Chtoucas de Drinfeld et correspondance de Langlands
    • Zbl 1038.11075 MR 1875184
    • Lafforgue, L.: Chtoucas de Drinfeld et correspondance de Langlands. Invent. Math. 147, 1-241 (2002) Zbl 1038.11075 MR 1875184
    • (2002) Invent. Math. , vol.147 , pp. 1-241
    • Lafforgue, L.1
  • 21
    • 0002622843 scopus 로고
    • Existence and explicit constructions of q + 1 regular Ramanujan graphs for every prime power q
    • Zbl 0814.68098 MR 1290630
    • Morgenstern, M.: Existence and explicit constructions of q + 1 regular Ramanujan graphs for every prime power q. J. Combin. Theory Ser. B 62, 44-62 (1994) Zbl 0814.68098 MR 1290630
    • (1994) J. Combin. Theory Ser. B , vol.62 , pp. 44-62
    • Morgenstern, M.1
  • 22
    • 33846960778 scopus 로고    scopus 로고
    • A product decomposition for the classical quasisimple groups
    • Zbl 1119.20025 MR 2288458
    • Nikolov, N.: A product decomposition for the classical quasisimple groups. J. Group Theory 10, 43-53 (2007) Zbl 1119.20025 MR 2288458
    • (2007) J. Group Theory , vol.10 , pp. 43-53
    • Nikolov, N.1
  • 23
    • 0033442097 scopus 로고    scopus 로고
    • Ultraproducts and Chevalley groups
    • Zbl 0921.03008 MR 1711404
    • Point, F.: Ultraproducts and Chevalley groups. Arch. Math. Logic 38, 355-372 (1999) Zbl 0921.03008 MR 1711404
    • (1999) Arch. Math. Logic , vol.38 , pp. 355-372
    • Point, F.1
  • 24
    • 0002739011 scopus 로고
    • On the estimation of Fourier coefficients of modular forms
    • Amer. Math. Soc., Providence, RI, Zbl 0142.33903 MR 0182610
    • Selberg, A.: On the estimation of Fourier coefficients of modular forms. In: Proc. Sympos. Pure Math. 8, Amer. Math. Soc., Providence, RI, 1-15 (1965) Zbl 0142.33903 MR 0182610
    • (1965) Proc. Sympos. Pure Math. , vol.8 , pp. 1-15
    • Selberg, A.1


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