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Original Articles

Lattices Generated by Two Orbits of Subspaces Under Finite Singular Classical Groups

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Pages 2026-2036 | Received 06 Jan 2009, Published online: 14 Jun 2010

REFERENCES

  • Aigner , M. ( 1979 ). Combinatorial Theory . Berlin : Springer-Verlag .
  • Birgkhoff , G. ( 1967 ). Lattice Theory. , 3rd ed. Providence , RI : American Mathematical Society .
  • Gao , Y. ( 2003 ). Lattices generated by orbits of subspaces under finite singular unitary group and its characteristic polynomials . Linear Algebra and its Applications 368 : 243 – 268 .
  • Gao , Y. , You , H. ( 2003 ). Lattices generated by orbits of subspaces under finite singular classical groups and its characteristic polynomials . Comm. Algebra 31 : 2927 – 2950 .
  • Huo , Y. , Liu , Y. , Wan , Z. ( 1992 ). Lattices generated by transitive sets of subspaces under finite classical groups I . Comm. Algebra 20 : 1123 – 1144 .
  • Huo , Y. , Liu , Y. , Wan , Z. ( 1993 ). Lattices generated by transitive sets of subspaces under finite classical groups II, the orthogonal case of odd characteristic . Comm. Algebra 20 : 2685 – 2727 .
  • Huo , Y. , Liu , Y. , Wan , Z. ( 1993 ). Lattices generated by transitive sets of subspaces under finite classical groups, the orthogonal case of even characteristic III . Comm. Algebra 21 : 2351 – 2393 .
  • Huo , Y. , Wan , Z. ( 2001 ). On the geometricity of lattices generated by orbits of subspaces under finite classical groups . J. Algebra 243 : 339 – 359 .
  • Wan , Z. ( 1993 ). Geometry of Classical Groups over Finite Field . Studentlitteratur , Lund , Sweden .
  • Orlik , P. , Solomon , L. ( 1985 ). Arrangements in unitary and orthogonal geometry over finite fields . J. Comb. Theory Ser. A 38 : 217 – 229 .
  • Wang , K. , Feng , Y. ( 2006 ). Lattices generated by orbits of flats under finite affine groups . Comm. Algebra 34 : 1691 – 1697 .
  • Wang , K. , Guo , J. (2008). Lattices generated by totally isotropic flats under finite affine-classical groups. Finite Fields and Their Applications 14:571–578.
  • Wang , K. , Guo , J. ( 2009 ). Lattices generated by two orbits of subspaces under finite classical groups . Finite Fields and Their Applications 15 : 236 – 245 .
  • Wang , K. , Li , Z. ( 2008 ). Lattices associated with vector space over a finite field . Linear Algebra and its Applications 429 : 439 – 446 .
  • Communicated by L. Small.

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