Finite projective plane geometries and difference sets

Author:
Gerald Berman

Journal:
Trans. Amer. Math. Soc. **74** (1953), 492-499

MSC:
Primary 48.0X

DOI:
https://doi.org/10.1090/S0002-9947-1953-0054978-4

MathSciNet review:
0054978

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References | Similar Articles | Additional Information

**[1]**R. H. Bruck and H. J. Ryser,*The nonexistence of certain finite projective planes*, Canadian J. Math.**1**(1949), 88–93. MR**0027520****[2]**W. H. Bussey,*Galois field tables for 𝑝ⁿ≦169*, Bull. Amer. Math. Soc.**12**(1905), no. 1, 22–38. MR**1558269**, https://doi.org/10.1090/S0002-9904-1905-01284-2**[3]**-,*Tables of Galois fields*, Bull. Amer. Math. Soc. vol. 16 (1909-10) pp. 188-206.**[4]**R. D. Carmichael,*Introduction to the theory of groups of finite order*, Boston, 1937.**[5]**Marshall Hall Jr.,*Cyclic projective planes*, Duke Math. J.**14**(1947), 1079–1090. MR**0023536****[6]**Atle Selberg,*An elementary proof of Dirichlet’s theorem about primes in an arithmetic progression*, Ann. of Math. (2)**50**(1949), 297–304. MR**0029409**, https://doi.org/10.2307/1969454**[7]**James Singer,*A theorem in finite projective geometry and some applications to number theory*, Trans. Amer. Math. Soc.**43**(1938), no. 3, 377–385. MR**1501951**, https://doi.org/10.1090/S0002-9947-1938-1501951-4**[8]**Ernst Snapper,*Periodic linear transformations of affine and projective geometries*, Canadian J. Math.**2**(1950), 149–151. MR**0035033****[9]**B. L. van der Waerden,*Moderne algebra*, Berlin, 1937.

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DOI:
https://doi.org/10.1090/S0002-9947-1953-0054978-4

Article copyright:
© Copyright 1953
American Mathematical Society