Product - Free Subsets of Groups , Then and Now
نویسنده
چکیده
Citation Kedlaya, Kiran S. "Product-free subsets of groups, then and now. Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. The MIT Faculty has made this article openly available. Please share how this access benefits you. Your story matters. Dedicated to Joe Gallian on his 65th birthday and the 30th anniversary of the Duluth REU
منابع مشابه
ar X iv : 0 70 8 . 22 95 v 1 [ m at h . G R ] 1 6 A ug 2 00 7 Product - free subsets of groups , then and now
Let G be a group. A subset S of G is product-free if there do not exist a, b, c ∈ S (not necessarily distinct) such that ab = c. One can ask about the existence of large product-free subsets for various groups, such as the groups of integers (see next section), or compact topological groups (as suggested in [11]). For the rest of this paper, however, I will require G to be a finite group of ord...
متن کاملar X iv : 0 80 4 . 06 87 v 1 [ m at h . G R ] 4 A pr 2 00 8 Generalizations of product - free subsets Kiran
In this paper, we present some generalizations of Gowers’s result about product-free subsets of groups. For any group G of order n, a subset A of G is said to be product-free if there is no solution of the equation ab = c with a, b, c ∈ A. Previous results showed that the size of any product-free subset of G is at most n/δ1/3, where δ is the smallest dimension of a nontrivial representation of ...
متن کاملGeneralizations of Product-Free Subsets
In this paper, we present some generalizations of Gowers’s result about product-free subsets of groups. For any group G of order n, a subset A of G is said to be product-free if there is no solution of the equation ab = c with a, b, c ∈ A. Previous results showed that the size of any product-free subset of G is at most n/δ1/3, where δ is the smallest dimension of a nontrivial representation of ...
متن کاملOptimizing the warranty period by cuckoo meta-heuristic algorithm in heterogeneous customers’ population
Warranty is now an integral part of each product. Since its length is directly related to the cost of production, it should be set in such a way that it would maximize revenue generation and customers’ satisfaction. Furthermore, based on the behavior of customers, it is assumed that increasing the warranty period to earn the trust of more customers leads to more sales until the market is sat...
متن کاملEffects of propolis, a honeybee product, on growth performance and immune responses of Barbus barbulus
Background: Propolis, a honeybee product, has been used empirically for centuries and was always mentioned as an immunomodulatory. OBJECTIVES: In this study, the effects of propolis on growth indices, innate immune responses and haematological parameters of Barbus barbulus were investigated. METHODS: Three hundred and sixty juvenile Barbus barbulus, weighing 102±8.2g were randomly divided int...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2008