A survey of difference sets
Author:
Marshall Hall
Journal:
Proc. Amer. Math. Soc. 7 (1956), 975986
MSC:
Primary 10.0X
MathSciNet review:
0082502
Fulltext PDF Free Access
References 
Similar Articles 
Additional Information
 [1]
R.
H. Bruck, Difference sets in a finite
group, Trans. Amer. Math. Soc. 78 (1955), 464–481. MR 0069791
(16,1081g), http://dx.doi.org/10.1090/S00029947195500697913
 [2]
S.
Chowla and H.
J. Ryser, Combinatorial problems, Canadian J. Math.
2 (1950), 93–99. MR 0032551
(11,306f)
 [3]
L.
E. Dickson, Cyclotomy, Higher Congruences, and Waring’s
Problem, Amer. J. Math. 57 (1935), no. 2,
391–424. MR
1507083, http://dx.doi.org/10.2307/2371217
 [4]
Marshall
Hall and H.
J. Ryser, Cyclic incidence matrices, Canadian J. Math.
3 (1951), 495–502. MR 0043759
(13,312b)
 [5]
Emma
Lehmer, On residue difference sets, Canadian J. Math.
5 (1953), 425–432. MR 0056007
(15,10d)
 [6]
Emma
Lehmer, Period equations applied to difference
sets, Proc. Amer. Math. Soc. 6 (1955), 433–442. MR 0068562
(16,904a), http://dx.doi.org/10.1090/S00029939195500685627
 [7]
Henry
B. Mann, Some theorems on difference sets, Canadian J. Math.
4 (1952), 222–226. MR 0048383
(14,5d)
 [8]
T.
A. Evans and H.
B. Mann, On simple difference sets, Sankhyā
11 (1951), 357–364. MR 0047593
(13,899e)
 [9]
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, http://dx.doi.org/10.1090/S00029947193815019514
 [1]
 R. H. Bruck, Difference sets in a finite group, Trans. Amer. Math. Soc. vol. 78 (1955) pp. 464481. MR 0069791 (16:1081g)
 [2]
 S. Chowla and H. J. Ryser, Combinatorial problems, Canadian Journal of Mathematics vol. 2 (1950) pp. 9399. MR 0032551 (11:306f)
 [3]
 L. E. Dickson, Cyclotomy, higher congruences, and Waring's problem, Amer. J. Math. vol. 57 (1935) pp. 391424. MR 1507083
 [4]
 Marshall Hall and H. J. Ryser, Cyclic incidence matrices, Canadian Journal of Mathematics vol. 3 (1951) pp. 495502. MR 0043759 (13:312b)
 [5]
 Emma Lehmer, On residue difference sets, Canadian Journal of Mathematics vol. 5 (1953) pp. 425432. MR 0056007 (15:10d)
 [6]
 , Period equations applied to difference sets, Proc. Amer. Math. Soc. vol. 6 (1955) pp. 433442. MR 0068562 (16:904a)
 [7]
 H. B. Mann, Some theorems on difference sets, Canadian Journal of Mathematics vol. 4 (1952) pp. 222226. MR 0048383 (14:5d)
 [8]
 H. B. Mann and T. A. Evans, On simple difference sets, Sankhya, vol. 11 (1951) pp. 357364. MR 0047593 (13:899e)
 [9]
 James Singer, A theorem in finite projective geometry and some applications to number theory, Trans. Amer. Math. Soc. vol. 43 (1938) pp. 377385. MR 1501951
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Additional Information
DOI:
http://dx.doi.org/10.1090/S00029939195600825027
PII:
S 00029939(1956)00825027
Article copyright:
© Copyright 1956
American Mathematical Society
