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pro vyhledávání: '"Helfgott, A."'
Autor:
Button, Jack, Roney-Dougal, Colva
Helfgott proved that there exists a $\delta>0$ such that if $S$ is a symmetric generating subset of $SL(2,p)$ containing 1 then either $S^3=SL(2,p)$ or $|S^3|\geq |S|^{1+\delta}$. It is known that $\delta\geq 1/3024$. Here we show that $\delta\leq(\l
Externí odkaz:
http://arxiv.org/abs/1401.2863
Autor:
Prakash, Gyan
Let $F(X)= \prod_{i=1}^k(a_iX+b_i)$ be a polynomial with $a_i, b_i$ being integers. Suppose the discriminant of $F$ is non-zero and $F$ is admissible. Given any natural number $N$, let $S(F,N)$ denotes those integers less than or equal to $N$ such th
Externí odkaz:
http://arxiv.org/abs/1403.7609
Autor:
Chang, Yahlin, Gates, David
Publikováno v:
Newsweek. 3/10/1997, Vol. 129 Issue 10, p62. 4p. 4 Color Photographs, 1 Black and White Photograph.
Autor:
Button, J. O.
We adapt Safin's result on powers of sets in free groups to obtain Helfgott type growth in free products: if A is any finite subset of a free product of two arbitrary groups then either A is conjugate into one of the factors, or the size of the tripl
Externí odkaz:
http://arxiv.org/abs/1109.0244
Autor:
Green, Ben
This is a survey of several exciting recent results in which techniques originating in the area known as additive combinatorics have been applied to give results in other areas, such as group theory, number theory and theoretical computer science. We
Externí odkaz:
http://arxiv.org/abs/0911.3354
Autor:
Button, Jack, Roney-Dougal, Colva M.
Publikováno v:
In Journal of Algebra 1 January 2015 421:493-511
Akademický článek
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Autor:
Carr, Tracy
Publikováno v:
Reference & User Services Quarterly, 2019 Jul 01. 58(4), 266-266.
Externí odkaz:
https://www.jstor.org/stable/26843539