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Volumn 75, Issue 2, 1996, Pages 254-269

A finite generalized hexagon admitting a group acting transitively on ordered heptagons is classical

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EID: 0030209580     PISSN: 00973165     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcta.1996.0076     Document Type: Article
Times cited : (5)

References (22)
  • 1
    • 0001908833 scopus 로고
    • Finite distance transitive generalized polygons
    • 1. F. BUEKENHOUT AND H. VAN MALDEGHEM, Finite distance transitive generalized polygons, Geom. Dedicata 52 (1994), 41-51.
    • (1994) Geom. Dedicata , vol.52 , pp. 41-51
    • Buekenhout, F.1    Van Maldeghem, H.2
  • 2
    • 0001785649 scopus 로고
    • A characterization by orders of the generalized hexagons and a near octagon where lines have length three
    • 2. A. M. COHEN AND J. TITS, A characterization by orders of the generalized hexagons and a near octagon where lines have length three, Europ. J. Combin. 6 (1985), 13-27.
    • (1985) Europ. J. Combin. , vol.6 , pp. 13-27
    • Cohen, A.M.1    Tits, J.2
  • 3
    • 0001741691 scopus 로고
    • The non-existence of certain generalized polygons
    • 3. W. FEIT AND G. HIGMAN, The non-existence of certain generalized polygons, J. Algebra 1 (1964), 114-131.
    • (1964) J. Algebra , vol.1 , pp. 114-131
    • Feit, W.1    Higman, G.2
  • 4
    • 33745702533 scopus 로고
    • Groups with a (B, N)-pair of rank 2, I
    • 4. P. FONG AND G. M. SEITZ, Groups with a (B, N)-pair of rank 2, I, Invent. Math. 21 (1973), 1-57.
    • (1973) Invent. Math. , vol.21 , pp. 1-57
    • Fong, P.1    Seitz, G.M.2
  • 5
    • 0012281908 scopus 로고
    • Groups with a (B, N)-pair of rank 2, II
    • 5. P. FONG AND G. M. SEITZ, Groups with a (B, N)-pair of rank 2, II, Invent. Math. 24 (1974), 191-239.
    • (1974) Invent. Math. , vol.24 , pp. 191-239
    • Fong, P.1    Seitz, G.M.2
  • 6
    • 0011499101 scopus 로고
    • Invariant relations, coherent configurations and generalized polygons
    • Reidel, Dordrecht
    • 6. D. G. HIGMAN, Invariant relations, coherent configurations and generalized polygons, in "Combinatorics," pp. 247-263, Reidel, Dordrecht, 1975.
    • (1975) Combinatorics , pp. 247-263
    • Higman, D.G.1
  • 7
    • 0002713886 scopus 로고
    • Generalized polygons, SCABs, and GABs
    • "Buildings and the Geometry of Diagrams, Como, 1989" (L. A. Rosati, Ed.), New York/Berlin
    • 7. W. M. KANTOR, Generalized polygons, SCABs, and GABs, in "Buildings and the Geometry of Diagrams, Como, 1989" (L. A. Rosati, Ed.), Lecture Notes in Math., Vol. 1181, pp. 79-158, New York/Berlin, 1986.
    • (1986) Lecture Notes in Math. , vol.1181 , pp. 79-158
    • Kantor, W.M.1
  • 8
    • 0011451909 scopus 로고
    • On projective and affine planes with transitive collineation groups
    • 8. T. G. OSTROM AND A. WAGNER, On projective and affine planes with transitive collineation groups, Math. Z. 71 (1959), 186-199.
    • (1959) Math. Z. , vol.71 , pp. 186-199
    • Ostrom, T.G.1    Wagner, A.2
  • 10
    • 34250255926 scopus 로고
    • A geometric characterization of Moufang hexagons
    • 10. M. A. RONAN, A geometric characterization of Moufang hexagons, Invent. Math. 57 (1980), 227-262.
    • (1980) Invent. Math. , vol.57 , pp. 227-262
    • Ronan, M.A.1
  • 11
    • 0011514430 scopus 로고
    • A combinatorial characterization of the dual Moufang hexagons
    • 11. M. A. RONAN, A combinatorial characterization of the dual Moufang hexagons, Geom. Dedicata 11 (1981), 61-67.
    • (1981) Geom. Dedicata , vol.11 , pp. 61-67
    • Ronan, M.A.1
  • 12
    • 0001918175 scopus 로고
    • Flag-transitive subgroups of Chevalley groups
    • 12. G. M. SEITZ, Flag-transitive subgroups of Chevalley groups, Ann. Math. 97 (1973), 27-56.
    • (1973) Ann. Math. , vol.97 , pp. 27-56
    • Seitz, G.M.1
  • 13
    • 0011513883 scopus 로고
    • A restriction on the parameters of a subhexagon
    • 13. J. A. THAS, A restriction on the parameters of a subhexagon, J. Combin. Theory Ser. A 21 (1976), 115-117.
    • (1976) J. Combin. Theory Ser. A , vol.21 , pp. 115-117
    • Thas, J.A.1
  • 14
    • 0011417592 scopus 로고
    • A restriction on the parameters of a suboctagon
    • 14. J. A. THAS, A restriction on the parameters of a suboctagon, J. Combin. Theory A 27 (1979), 385-387.
    • (1979) J. Combin. Theory A , vol.27 , pp. 385-387
    • Thas, J.A.1
  • 15
    • 85029962247 scopus 로고    scopus 로고
    • The classification of finite generalized quadrangles admitting a group acting transitively on ordered pentagons
    • to appear
    • 15. J. A. THAS AND H. VAN MALDEGHEM, The classification of finite generalized quadrangles admitting a group acting transitively on ordered pentagons, Bull. London Math. Soc., to appear.
    • Bull. London Math. Soc.
    • Thas, J.A.1    Van Maldeghem, H.2
  • 16
    • 51649137594 scopus 로고
    • Sur la trialité et certain groupes qui s'en déduisent
    • 16. J. TITS, Sur la trialité et certain groupes qui s'en déduisent, Inst. Hautes Études Sci. Publ. Math. 2 (1959), 14-60.
    • (1959) Inst. Hautes Études Sci. Publ. Math. , vol.2 , pp. 14-60
    • Tits, J.1
  • 17
    • 0001283574 scopus 로고
    • Classification of buildings of spherical type and Moufang polygons: A survey
    • "Coll. Intern. Teorie Combin. Acc. Naz. Lincei, Rome 1973,"
    • 17. J. TITS, Classification of buildings of spherical type and Moufang polygons: A survey, in "Coll. Intern. Teorie Combin. Acc. Naz. Lincei, Rome 1973," Atti dei convegni Lincei, Vol. 17, pp. 229-246, 1976.
    • (1976) Atti dei Convegni Lincei , vol.17 , pp. 229-246
    • Tits, J.1
  • 18
    • 0000786119 scopus 로고
    • Spiegelungsgruppen, die als weylgruppen auftreten
    • 18. J. TITS, Spiegelungsgruppen, die als Weylgruppen auftreten, Invent. Math. 43 (1977), 283-295.
    • (1977) Invent. Math. , vol.43 , pp. 283-295
    • Tits, J.1
  • 20
    • 84974004710 scopus 로고
    • A characterization of the finite Moufang hexagons by generalized homologies
    • 20. H. VAN MALDEGHEM, A characterization of the finite Moufang hexagons by generalized homologies, Pacific J. Math. 151 (1991), 357-367.
    • (1991) Pacific J. Math. , vol.151 , pp. 357-367
    • Van Maldeghem, H.1
  • 21
    • 0002428746 scopus 로고
    • The non-existence of certain regular generalized polygons
    • 21. H. VAN MALDEGHEM, The non-existence of certain regular generalized polygons, Arch. Math. 64 (1995), 86-96.
    • (1995) Arch. Math. , vol.64 , pp. 86-96
    • Van Maldeghem, H.1
  • 22
    • 38249001243 scopus 로고
    • Generalized hexagons as amalgamations of generalized quadrangles
    • 22. H. VAN MALDEGHEM AND I. BLOEMEN, Generalized hexagons as amalgamations of generalized quadrangles, European J. Combin. 14 (1993), 593-604.
    • (1993) European J. Combin. , vol.14 , pp. 593-604
    • Van Maldeghem, H.1    Bloemen, I.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.