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Volumn 114, Issue 7, 2007, Pages 1293-1314

Tight sets and m-ovoids of finite polar spaces

Author keywords

Egg; m Ovoid; m System; Tight set

Indexed keywords


EID: 34547145719     PISSN: 00973165     EISSN: 10960899     Source Type: Journal    
DOI: 10.1016/j.jcta.2007.01.009     Document Type: Article
Times cited : (101)

References (38)
  • 2
    • 34547234378 scopus 로고    scopus 로고
    • J. Bamberg, M. Law, T. Penttila, Tight sets and m-ovoids of generalised quadrangles, Combinatorica, in press
  • 4
    • 84966227844 scopus 로고
    • Baer subplanes and blocking sets
    • Bruen A. Baer subplanes and blocking sets. Bull. Amer. Math. Soc. 76 (1970) 342-344
    • (1970) Bull. Amer. Math. Soc. , vol.76 , pp. 342-344
    • Bruen, A.1
  • 6
    • 0008980446 scopus 로고
    • Tactical decompositions and orbits of projective groups
    • Cameron P.J., and Liebler R.A. Tactical decompositions and orbits of projective groups. Linear Algebra Appl. 46 (1982) 91-102
    • (1982) Linear Algebra Appl. , vol.46 , pp. 91-102
    • Cameron, P.J.1    Liebler, R.A.2
  • 7
    • 29144478351 scopus 로고    scopus 로고
    • Hemisystems on the Hermitian surface
    • Cossidente A., and Penttila T. Hemisystems on the Hermitian surface. J. London Math. Soc. (2) 72 3 (2005) 731-741
    • (2005) J. London Math. Soc. (2) , vol.72 , Issue.3 , pp. 731-741
    • Cossidente, A.1    Penttila, T.2
  • 9
    • 3543066341 scopus 로고    scopus 로고
    • SPG-reguli satisfying the polar property and a new semipartial geometry
    • De Winter S., and Thas J.A. SPG-reguli satisfying the polar property and a new semipartial geometry. Des. Codes Cryptogr. 32 1-3 (2004) 153-166
    • (2004) Des. Codes Cryptogr. , vol.32 , Issue.1-3 , pp. 153-166
    • De Winter, S.1    Thas, J.A.2
  • 10
    • 34547142487 scopus 로고    scopus 로고
    • A. De Wispelaere, Ovoids and spreads of finite classical generalized hexagons and applications, PhD thesis, The University of Ghent, 2005
  • 11
    • 28544431703 scopus 로고    scopus 로고
    • Ovoids and spreads of the generalized hexagon H (3)
    • De Wispelaere A., Huizinga J., and Van Maldeghem H. Ovoids and spreads of the generalized hexagon H (3). Discrete Math. 305 1-3 (2005) 299-311
    • (2005) Discrete Math. , vol.305 , Issue.1-3 , pp. 299-311
    • De Wispelaere, A.1    Huizinga, J.2    Van Maldeghem, H.3
  • 12
    • 34547226371 scopus 로고    scopus 로고
    • 2) and a distance-2-ovoid in the generalized hexagon H (4), Discrete Math., in press
  • 13
    • 27244457624 scopus 로고    scopus 로고
    • A distance-2-spread of the generalized hexagon H (3)
    • De Wispelaere A., and Van Maldeghem H. A distance-2-spread of the generalized hexagon H (3). Ann. Comb. 8 2 (2004) 133-154
    • (2004) Ann. Comb. , vol.8 , Issue.2 , pp. 133-154
    • De Wispelaere, A.1    Van Maldeghem, H.2
  • 14
    • 34547209015 scopus 로고
    • Packings of PG (3, q)
    • Centro Internaz. Mat. Estivo (CIME), II Ciclo, Bressanone, 1972, Edizioni Cremonese, Rome
    • Denniston R.H.F. Packings of PG (3, q). Finite Geometric Structures and Their Applications. Centro Internaz. Mat. Estivo (CIME), II Ciclo, Bressanone, 1972 (1973), Edizioni Cremonese, Rome 193-199
    • (1973) Finite Geometric Structures and Their Applications , pp. 193-199
    • Denniston, R.H.F.1
  • 15
    • 34547150396 scopus 로고    scopus 로고
    • K. Drudge, Extremal sets in projective and polar spaces, PhD thesis, The University of Western Ontario, 1998
  • 16
    • 0042226897 scopus 로고    scopus 로고
    • Proper 2-covers of PG (3, q), q even
    • Drudge K. Proper 2-covers of PG (3, q), q even. Geom. Dedicata 80 1-3 (2000) 59-64
    • (2000) Geom. Dedicata , vol.80 , Issue.1-3 , pp. 59-64
    • Drudge, K.1
  • 17
    • 0042228086 scopus 로고
    • The completion problem for partial packings
    • Ebert G.L. The completion problem for partial packings. Geom. Dedicata 18 3 (1985) 261-267
    • (1985) Geom. Dedicata , vol.18 , Issue.3 , pp. 261-267
    • Ebert, G.L.1
  • 19
    • 0036186645 scopus 로고    scopus 로고
    • On a particular class of minihypers and its applications. II. Improvements for q square
    • Govaerts P., and Storme L. On a particular class of minihypers and its applications. II. Improvements for q square. J. Combin. Theory Ser. A 97 2 (2002) 369-393
    • (2002) J. Combin. Theory Ser. A , vol.97 , Issue.2 , pp. 369-393
    • Govaerts, P.1    Storme, L.2
  • 20
    • 84867951778 scopus 로고    scopus 로고
    • On a particular class of minihypers and its applications. I. The result for general q
    • Govaerts P., and Storme L. On a particular class of minihypers and its applications. I. The result for general q. Des. Codes Cryptogr. 28 1 (2003) 51-63
    • (2003) Des. Codes Cryptogr. , vol.28 , Issue.1 , pp. 51-63
    • Govaerts, P.1    Storme, L.2
  • 21
    • 0035584303 scopus 로고    scopus 로고
    • Existence and non-existence of m-systems of polar spaces
    • Hamilton N., and Mathon R. Existence and non-existence of m-systems of polar spaces. European J. Combin. 22 1 (2001) 51-61
    • (2001) European J. Combin. , vol.22 , Issue.1 , pp. 51-61
    • Hamilton, N.1    Mathon, R.2
  • 22
    • 0034165252 scopus 로고    scopus 로고
    • m-Systems of polar spaces and maximal arcs in projective planes
    • Hamilton N., and Quinn C.T. m-Systems of polar spaces and maximal arcs in projective planes. Bull. Belg. Math. Soc. Simon Stevin 7 2 (2000) 237-248
    • (2000) Bull. Belg. Math. Soc. Simon Stevin , vol.7 , Issue.2 , pp. 237-248
    • Hamilton, N.1    Quinn, C.T.2
  • 23
    • 0346878602 scopus 로고
    • General Galois Geometries
    • The Clarendon Press Oxford University Press, New York Oxford Science Publications
    • Hirschfeld J.W.P., and Thas J.A. General Galois Geometries. Oxford Math. Monogr. (1991), The Clarendon Press Oxford University Press, New York Oxford Science Publications
    • (1991) Oxford Math. Monogr.
    • Hirschfeld, J.W.P.1    Thas, J.A.2
  • 24
    • 34547211618 scopus 로고    scopus 로고
    • S. Kelly, Constructions of intriguing sets from field reduction and derivation, Des. Codes Cryptogr., in press
  • 25
    • 0003288316 scopus 로고
    • The subgroup structure of the finite classical groups
    • Cambridge Univ. Press, Cambridge
    • Kleidman P., and Liebeck M. The subgroup structure of the finite classical groups. London Math. Soc. Lecture Note Ser. vol. 129 (1990), Cambridge Univ. Press, Cambridge
    • (1990) London Math. Soc. Lecture Note Ser. , vol.129
    • Kleidman, P.1    Liebeck, M.2
  • 26
    • 23944456841 scopus 로고
    • Permutation modules for rank 3 unitary groups
    • Liebeck M.W. Permutation modules for rank 3 unitary groups. J. Algebra 88 2 (1984) 317-329
    • (1984) J. Algebra , vol.88 , Issue.2 , pp. 317-329
    • Liebeck, M.W.1
  • 27
    • 0012571240 scopus 로고
    • Permutation modules for rank 3 symplectic and orthogonal groups
    • Liebeck M.W. Permutation modules for rank 3 symplectic and orthogonal groups. J. Algebra 92 1 (1985) 9-15
    • (1985) J. Algebra , vol.92 , Issue.1 , pp. 9-15
    • Liebeck, M.W.1
  • 28
    • 34547213119 scopus 로고    scopus 로고
    • D. Luyckx, m-Systems of finite classical polar spaces, PhD thesis, The University of Ghent, 2002
  • 31
    • 0009036006 scopus 로고
    • Tight pointsets in finite generalized quadrangles
    • Eighteenth Southeastern International Conference on Combinatorics, Graph Theory, and Computing. Boca Raton, FL, 1987
    • Payne S.E. Tight pointsets in finite generalized quadrangles. Eighteenth Southeastern International Conference on Combinatorics, Graph Theory, and Computing. Boca Raton, FL, 1987. Congr. Numer. 60 (1987) 243-260
    • (1987) Congr. Numer. , vol.60 , pp. 243-260
    • Payne, S.E.1
  • 32
    • 0003346939 scopus 로고
    • Finite generalized quadrangles
    • Pitman (Advanced Publishing Program), Boston, MA
    • Payne S.E., and Thas J.A. Finite generalized quadrangles. Res. Notes Math. vol. 110 (1984), Pitman (Advanced Publishing Program), Boston, MA
    • (1984) Res. Notes Math. , vol.110
    • Payne, S.E.1    Thas, J.A.2
  • 33
    • 34547209523 scopus 로고    scopus 로고
    • S. Reichard, Enumerating spreads in incidence structures, in preparation
  • 34
    • 0002573110 scopus 로고
    • Forme e geometrie hermitiane, con particolare riguardo al caso finito
    • Segre B. Forme e geometrie hermitiane, con particolare riguardo al caso finito. Ann. Mat. Pura Appl. (4) 70 (1965) 1-201
    • (1965) Ann. Mat. Pura Appl. (4) , vol.70 , pp. 1-201
    • Segre, B.1
  • 36
    • 0001247817 scopus 로고
    • Ovoids and spreads of finite classical polar spaces
    • Thas J.A. Ovoids and spreads of finite classical polar spaces. Geom. Dedicata 10 1-4 (1981) 135-143
    • (1981) Geom. Dedicata , vol.10 , Issue.1-4 , pp. 135-143
    • Thas, J.A.1
  • 37
    • 29144452274 scopus 로고
    • Interesting pointsets in generalized quadrangles and partial geometries
    • Thas J.A. Interesting pointsets in generalized quadrangles and partial geometries. Linear Algebra Appl. 114/115 (1989) 103-131
    • (1989) Linear Algebra Appl. , vol.114-115 , pp. 103-131
    • Thas, J.A.1
  • 38
    • 51649137594 scopus 로고
    • Sur la trialité et certains groupes qui s'en déduisent
    • Tits J. Sur la trialité et certains 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


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