Solution of the Cameron-Erdos problem for groups of prime order

被引：2

作者：

Sapozhenko, A. A. ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, Fac Computat Math & Cybernet, Moscow 119992, Russia

来源：

COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2009年 / 49卷 / 08期

基金：

俄罗斯基础研究基金会;

关键词：

sum-free set; independent set; SUM-FREE SETS; ABELIAN-GROUPS; INDEPENDENT SETS; NUMBER; CONJECTURE; GRAPHS;

D O I：

10.1134/S0965542509080132

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A subset A of a group G is sum-free if a + b does not belong to A for any a, b a A. Asymptotics of the number of sum-free sets in groups of prime order are proved.

引用

页码：1435 / 1441

页数：7

共 50 条

[31] Groups of Prime Power Order Isomorphic to Their Automorphism Groups
Alireza Abdollahi
Nafiseh Rahmani
[J]. Bulletin of the Iranian Mathematical Society, 2022, 48 : 2079 - 2087
[32] Groups of Prime Power Order Isomorphic to Their Automorphism Groups
Abdollahi, Alireza
Rahmani, Nafiseh
[J]. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2022, 48 (05) : 2079 - 2087
[33] An approximate solution to Erdos' maximum modulus points problem
Glucksam, Adi
Pardo-Simon, Leticia
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2024, 531 (01)
[34] A One-Page Solution of a Problem of Erdos and Purdy
Pinchasi, Rom
Polyanskii, Alexandr
[J]. DISCRETE & COMPUTATIONAL GEOMETRY, 2020, 64 (02) : 382 - 385
[35] Combinational properties of sets of residues modulo a prime and the Erdos-Graham problem
Glibichuk, AA
[J]. MATHEMATICAL NOTES, 2006, 79 (3-4) : 356 - 365
[36] PROBLEM OF ERDOS,P ON LARGE PRIME DIVISORS OF N AND N+1
GALAMBOS, J
[J]. JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 1976, 13 (JUN): : 360 - 362
[37] A new bound for the Erdos distinct distances problem in the plane over prime fields
Iosevich, Alex
Koh, Doowon
Thang Pham
Shen, Chun-Yen
Le Anh Vinh
[J]. ACTA ARITHMETICA, 2020, 193 (02) : 165 - 174
[38] GROUPS ADMITTING AN AUTOMORPHISM OF PRIME ORDER FIXING A CYCLIC SUBGROUP OF PRIME POWER ORDER
RICKMAN, B
[J]. QUARTERLY JOURNAL OF MATHEMATICS, 1975, 26 (101): : 47 - 59
[39] ELEMENTS OF PRIME ORDER IN PRIMITIVE PERMUTATION GROUPS
PRAEGER, CE
[J]. JOURNAL OF ALGEBRA, 1979, 60 (01) : 126 - 157
[40] Modular Lie representations of groups of prime order
R.M. Bryant
[J]. Mathematische Zeitschrift, 2004, 246 : 603 - 617

← 1 2 3 4 5 →