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Volumn 3, Issue s1, 2003, Pages 28-48

On Finite Projective Planes in Lenz-Barlotti Class at Least 1.3

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EID: 34248229160     PISSN: 1615715X     EISSN: None     Source Type: Journal    
DOI: 10.1515/advg.2003.2003.s1.28     Document Type: Article
Times cited : (8)

References (44)
  • 1
    • 0007021477 scopus 로고
    • On the flocks of 0+(3, g)
    • MR 90e:51019 Zbl 0673.51010
    • L. Bader, G. Lunardon, On the flocks of 0+(3, g). Geom. Dedicata 29 (1989), 177-183. MR 90e:51019 Zbl 0673.51010.
    • (1989) Geom. Dedicata , vol.29 , pp. 177-183
    • Bader, L.1    Lunardon, G.2
  • 12
    • 0007078650 scopus 로고
    • Flocks of the quadratic cone in PG(3, #), for q small
    • Ghent University
    • F. De Clerck, C. Herssens, Flocks of the quadratic cone in PG(3, #), for q small. The CAGe Reports, Ghent University 8 (1992), 1-74.
    • (1992) The CAGe Reports , vol.8 , pp. 1-74
    • De, F.1    Clerck, C.2
  • 13
    • 0004211449 scopus 로고
    • Finite geometries
    • Springer MR 38 #1597 Zbl 0159.50001
    • P. Dembowski, Finite geometries. Springer 1968. MR 38 #1597 Zbl 0159.50001.
    • (1968)
    • Dembowski, P.1
  • 15
    • 0002621688 scopus 로고
    • Flocks in PG(3, q)
    • MR 81a:05023 Zbl 0396.51009
    • J. C. Fisher, J. A. Thas, Flocks in PG(3, q). Math. Z. 169 (1979), 1-11. MR 81a:05023 Zbl 0396.51009.
    • (1979) Math. Z. , vol.169 , pp. 1-11
    • Fisher, J.C.1    Thas, J.A.2
  • 16
    • 0006722037 scopus 로고
    • Central weak nucleus semifields
    • MR 83c:51013 Zbl 0469.51005
    • M. J. Ganley, Central weak nucleus semifields. European J. Combin. 2 (1981), 339-347. MR 83c:51013 Zbl 0469.51005.
    • (1981) European J. Combin. , vol.2 , pp. 339-347
    • Ganley, M.J.1
  • 17
    • 0000719805 scopus 로고
    • Flocks of quadratic cones, generalized quadrangles and translation planes
    • MR 89m:51008 Zbl 0653.51012
    • H. Gevaert, N. L. Johnson, Flocks of quadratic cones, generalized quadrangles and translation planes. Geom. Dedicata 27 (1988), 301-317. MR 89m:51008 Zbl 0653.51012.
    • (1988) Geom. Dedicata , vol.27 , pp. 301-317
    • Gevaert, H.1    Johnson, N.L.2
  • 18
    • 0011518315 scopus 로고
    • Derivation of partial flocks of quadratic cones
    • MR 94g:51012 Zbl 0776.51009
    • N. L. Johnson, Derivation of partial flocks of quadratic cones. Rend. Mat. Appl. (7) 12 (1992), 817-848 (1993). MR 94g:51012 Zbl 0776.51009.
    • (1992) Rend. Mat. Appl. , vol.12 , Issue.7 , pp. 817-848
    • Johnson, N.L.1
  • 19
    • 0041371720 scopus 로고
    • Semifield skeletons of conical flocks
    • MR 92c:51021 Zbl 0728.51006
    • N. L. Johnson, G. Lunardon, F. W. Wilke, Semifield skeletons of conical flocks. J. Geom. 40 (1991), 105-112. MR 92c:51021 Zbl 0728.51006.
    • (1991) J. Geom. , vol.40 , pp. 105-112
    • Johnson, N.L.1    Lunardon, G.2    Wilke, F.W.3
  • 20
    • 0001323725 scopus 로고
    • Generalized quadrangles associated with G2{q)
    • MR 82b:51007 Zbl 0465.51007
    • W. M. Kantor, Generalized quadrangles associated with G2{q). J. Combin. Theory Ser. A 29 (1980), 212-219. MR 82b:51007 Zbl 0465.51007.
    • (1980) J. Combin. Theory Ser. A , vol.29 , pp. 212-219
    • Kantor, W.M.1
  • 21
    • 51249179809 scopus 로고
    • On point-transitive affine planes
    • MR 84f:51026 Zbl 0511.51011
    • W. M. Kantor, On point-transitive affine planes. Israel J. Math. 42 (1982), 227-234. MR 84f:51026 Zbl 0511.51011.
    • (1982) Israel J. Math. , vol.42 , pp. 227-234
    • Kantor, W.M.1
  • 22
    • 0002545030 scopus 로고
    • Some generalized quadrangles with parameters q2, q
    • MR 87f:51016 Zbl 0592.51003
    • W. M. Kantor, Some generalized quadrangles with parameters q2, q. Math. Z. 192 (1986), 45-50. MR 87f:51016 Zbl 0592.51003.
    • (1986) Math. Z. , vol.192 , pp. 45-50
    • Kantor, W.M.1
  • 23
    • 0007150570 scopus 로고
    • A geometric construction of generalized quadrangles from polar spaces of rank three
    • MR 93b:51009 Zbl 0765.51006
    • N. Knarr, A geometric construction of generalized quadrangles from polar spaces of rank three. Results Math. 21 (1992), 332-344. MR 93b:51009 Zbl 0765.51006.
    • (1992) Results Math. , vol.21 , pp. 332-344
    • Knarr, N.1
  • 24
    • 85025278090 scopus 로고    scopus 로고
    • Construction of BLT-sets over small fields
    • Submitted
    • M. Law, T. Penttila, Construction of BLT-sets over small fields. Submitted.
    • Law, M.1    Penttila, T.2
  • 25
    • 0346159265 scopus 로고    scopus 로고
    • Some flocks in characteristic 3
    • MR 2002i:51005 Zbl 0988.51008
    • M. Law, T. Penttila, Some flocks in characteristic 3. J. Combin. Theory Ser. A94 (2001), 387-392. MR 2002i:51005 Zbl 0988.51008.
    • (2001) J. Combin. Theory Ser. , vol.A94 , pp. 387-392
    • Law, M.1    Penttila, T.2
  • 26
    • 0001540056 scopus 로고    scopus 로고
    • Isomorph-free exhaustive generation
    • MR 98k:68132 Zbl 0894.68107
    • B. D. McKay, Isomorph-free exhaustive generation. J. Algorithms 26 (1998), 306-324. MR 98k:68132 Zbl 0894.68107.
    • (1998) J. Algorithms , vol.26 , pp. 306-324
    • McKay, B.D.1
  • 27
    • 85025279990 scopus 로고
    • Flocks van Kwadrieken in PG(3, q)
    • M. S. thesis, Ghent (Belgium)
    • F. Mylie, Flocks van Kwadrieken in PG(3, q). M. S. thesis, Ghent (Belgium) 1991.
    • (1991)
    • Mylie, F.1
  • 28
    • 0003868038 scopus 로고
    • The Miquelian inversive plane IP{q) and the associated projective planes
    • Ph.D. Thesis, Univ. Wisconsin, Madison
    • W. F. Orr, The Miquelian inversive plane IP{q) and the associated projective planes. Ph.D. Thesis, Univ. Wisconsin, Madison, 1973.
    • (1973)
    • Orr, W.F.1
  • 29
    • 3042610973 scopus 로고
    • A characterization of subregular spreads in finite 3-space
    • MR 57 #10578 Zbl 0335.50012
    • W. F. Orr, A characterization of subregular spreads in finite 3-space. Geom. Dedicata 5 (1976), 43-50. MR 57 #10578 Zbl 0335.50012.
    • (1976) Geom. Dedicata , vol.5 , pp. 43-50
    • Orr, W.F.1
  • 31
    • 0039618904 scopus 로고
    • Collineations of the generalized quadrangles associated with ¿7-clans
    • Ann. Discrete Math.
    • S. E. Payne, Collineations of the generalized quadrangles associated with ¿7-clans. In: Combinatorics'90 (Gaeta, 1990), volume 52 of Ann. Discrete Math., 449-461.
    • (1990) Combinatorics'90 , vol.52 , pp. 449-461
    • Payne, S.E.1
  • 32
    • 85025256149 scopus 로고    scopus 로고
    • ¿7-clan geometries
    • Blokhuis, A., Hirschfeld, J. W. P., Jungnickel, D., Thas, J. A. [eds.), Brighton, UK, Kluwer Academic Publishers
    • S. E. Payne, The Law-Penttila ¿7-clan geometries. In: Blokhuis, A., Hirschfeld, J. W. P., Jungnickel, D., Thas, J. A. [eds.), Finite geometries. Proceedings of the fourth Isle of Thorns conference, Brighton, UK, Kluwer Academic Publishers 2000.
    • (2000) Finite geometries. Proceedings of the fourth Isle of Thorns conference
    • Payne, S.E.1
  • 33
    • 0000492340 scopus 로고
    • Conical flocks, partial flocks, derivation, and generalized quadrangles
    • MR 92f:51006 Zbl 0735.51010
    • S. E. Payne, J. A. Thas, Conical flocks, partial flocks, derivation, and generalized quadrangles. Geom. Dedicata 38 (1991), 229-243. MR 92f:51006 Zbl 0735.51010.
    • (1991) Geom. Dedicata , vol.38 , pp. 229-243
    • Payne, S.E.1    Thas, J.A.2
  • 34
    • 0037861628 scopus 로고    scopus 로고
    • Regular cyclic BLT-sets
    • MR 99i:51008 Zbl 0911.51005
    • T. Penttila, Regular cyclic BLT-sets. Rend. Circ. Mat. Palermo (2) Suppl. no. 53 (1998), 167-172. MR 99i:51008 Zbl 0911.51005.
    • (1998) Rend. Circ. Mat. Palermo , Issue.53 , pp. 167-172
    • Penttila, T.1
  • 35
    • 0007031136 scopus 로고    scopus 로고
    • BLT-sets over small fields
    • MR 99g:05043 Zbl 0911.51004
    • T. Penttila, G. F. Royle, BLT-sets over small fields. Australas. J. Combin. 17 (1998), 295-307. MR 99g:05043 Zbl 0911.51004.
    • (1998) Australas. J. Combin. , vol.17 , pp. 295-307
    • Penttila, T.1    Royle, G.F.2
  • 36
    • 0042226848 scopus 로고    scopus 로고
    • Ovoids of parabolic spaces
    • MR 200li:51005 Zbl 0969.51008
    • T. Penttila, B. Williams, Ovoids of parabolic spaces. Geom. Dedicata 82 (2000), 1-19. MR 200li:51005 Zbl 0969.51008.
    • (2000) Geom. Dedicata , vol.82 , pp. 1-19
    • Penttila, T.1    Williams, B.2
  • 37
    • 0001453807 scopus 로고
    • Every one a winner or how to avoid isomorphism search when cataloguing combinatorial configurations
    • MR 58 #10537 Zbl 0392.05001
    • R. C. Read, Every one a winner or how to avoid isomorphism search when cataloguing combinatorial configurations. Ann. Discrete Math. 2 (1978), 107-120. MR 58 #10537 Zbl 0392.05001.
    • (1978) Ann. Discrete Math. , vol.2 , pp. 107-120
    • Read, R.C.1
  • 38
    • 0001651296 scopus 로고    scopus 로고
    • An orderly algorithm and some applications in finite geometry
    • MR 99c:51013 Zbl 0956.68148
    • G. F. Royle, An orderly algorithm and some applications in finite geometry. Discrete Math. 185 (1998), 105-115. MR 99c:51013 Zbl 0956.68148.
    • (1998) Discrete Math. , vol.185 , pp. 105-115
    • Royle, G.F.1
  • 39
    • 0001784346 scopus 로고
    • Flocks of finite egglike inversive planes
    • C.I.M.E., II Ciclo, Bressanone Edizioni Cremonese, Rome
    • J. A. Thas, Flocks of finite egglike inversive planes. In: Finite geometric structures and their applications [C.I.M.E., II Ciclo, Bressanone, 1972), 189-191, Edizioni Cremonese, Rome.
    • (1972) Finite geometric structures and their applications , pp. 189-191
    • Thas, J.A.1
  • 41
    • 0042784507 scopus 로고
    • Generalized quadrangles and flocks of cones
    • MR 89d:51016 Zbl 0646.51019
    • J. A. Thas, Generalized quadrangles and flocks of cones. European J. Combin. 8 (1987), 441-452. MR 89d:51016 Zbl 0646.51019.
    • (1987) European J. Combin. , vol.8 , pp. 441-452
    • Thas, J.A.1
  • 42
    • 0007118790 scopus 로고
    • Lincoln, NE, Contemp. Math.
    • J. A. Thas, Flocks, maximal exterior sets, and inversive planes. In: Finite geometries and combinatorial designs [Lincoln, NE, 1987), volume 111 of Contemp. Math., 187-218.
    • (1987) Finite geometries and combinatorial designs , vol.111 , pp. 187-218
    • Thas, J.A.1
  • 43
    • 0003744099 scopus 로고
    • MR 91h:51008 Zbl 0728.51010
    • Amer. Math. Soc. 1990. MR 91h:51008 Zbl 0728.51010.
    • (1990) Amer. Math. Soc.
  • 44
    • 0001443569 scopus 로고
    • A class of translation planes
    • MR 54 #8442 Zbl 0356.50022
    • M. Walker, A class of translation planes. Geom. Dedicata 5 (1976), 135-146. MR 54 #8442 Zbl 0356.50022.
    • (1976) Geom. Dedicata , vol.5 , pp. 135-146
    • Walker, M.1


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