Difference sets in a finite group
HTML articles powered by AMS MathViewer
- by R. H. Bruck PDF
- Trans. Amer. Math. Soc. 78 (1955), 464-481 Request permission
References
- R. H. Bruck and H. J. Ryser, The nonexistence of certain finite projective planes, Canad. J. Math. 1 (1949), 88–93. MR 27520, DOI 10.4153/cjm-1949-009-2
- T. A. Evans and H. B. Mann, On simple difference sets, Sankhyā 11 (1951), 357–364. MR 47593
- S. Chowla, A property of biquadratic residues, Proc. Nat. Acad. Sci. India Sect. A 14 (1944), 45–46. MR 14119
- S. Chowla, On difference sets, Proc. Nat. Acad. Sci. U.S.A. 35 (1949), 92–94. MR 28349, DOI 10.1073/pnas.35.2.92
- S. Chowla and H. J. Ryser, Combinatorial problems, Canad. J. Math. 2 (1950), 93–99. MR 32551, DOI 10.4153/cjm-1950-009-8
- Marshall Hall Jr., Cyclic projective planes, Duke Math. J. 14 (1947), 1079–1090. MR 23536
- Marshall Hall and H. J. Ryser, Cyclic incidence matrices, Canad. J. Math. 3 (1951), 495–502. MR 43759, DOI 10.4153/cjm-1951-050-8
- Henry B. Mann, Some theorems on difference sets, Canad. J. Math. 4 (1952), 222–226. MR 48383, DOI 10.4153/cjm-1952-020-4
- Emma Lehmer, On residue difference sets, Canad. J. Math. 5 (1953), 425–432. MR 56007, DOI 10.4153/cjm-1953-047-3
- T. G. Ostrom, Concerning difference sets, Canad. J. Math. 5 (1953), 421–424. MR 56006, DOI 10.4153/cjm-1953-046-6
- H. J. Ryser, A note on a combinatorial problem, Proc. Amer. Math. Soc. 1 (1950), 422–424. MR 36732, DOI 10.1090/S0002-9939-1950-0036732-5
- H. J. Ryser, Matrices with integer elements in combinatorial investigations, Amer. J. Math. 74 (1952), 769–773. MR 50548, DOI 10.2307/2372224
- S. S. Shrikhande, The impossibility of certain symmetrical balanced incomplete block designs, Ann. Math. Statistics 21 (1950), 106–111. MR 32552, DOI 10.1214/aoms/1177729889
- 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, DOI 10.1090/S0002-9947-1938-1501951-4
Additional Information
- © Copyright 1955 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 78 (1955), 464-481
- MSC: Primary 09.0X
- DOI: https://doi.org/10.1090/S0002-9947-1955-0069791-3
- MathSciNet review: 0069791