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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Dual symmetry of projective sets in a finite modular lattice


Author: S. P. Avann
Journal: Trans. Amer. Math. Soc. 89 (1958), 541-558
MSC: Primary 06.00
MathSciNet review: 0099936
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References [Enhancements On Off] (What's this?)

  • [1] G. Birkhoff, Lattice theory, rev. ed., Amer. Math. Soc. Colloquium Publications, vol. 25, 1948. MR 0029876 (10:673a)
  • [2] R. D. Carmichael, Introduction to the theory of groups of finite order, Boston, 1937.
  • [3] R. P. Dilworth, Proof of a conjecture on finite modular lattices, Ann. of Math. vol. 60 (1954) pp. 359-364. MR 0063348 (16:106g)
  • [4] O. Veblen and W. H. Bussey, Finite projective geometries, Trans. Amer. Math. Soc. vol. 7 (1906) pp. 241-259. MR 1500747
  • [5] L. Weisner, Abstract theory of inversion of finite series, Trans. Amer. Math. Soc. vol. 38 (1935) pp. 474-484. MR 1501822

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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1958-0099936-3
PII: S 0002-9947(1958)0099936-3
Article copyright: © Copyright 1958 American Mathematical Society