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

DOI:
https://doi.org/10.1090/S0002-9947-1958-0099936-3

MathSciNet review:
0099936

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References | Similar Articles | Additional Information

**[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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DOI:
https://doi.org/10.1090/S0002-9947-1958-0099936-3

Article copyright:
© Copyright 1958
American Mathematical Society