New-Type Quasirandom Groups and Applications

doi:10.1007/s00041-024-10118-7

KMS > 数学科学研究所

	New-Type Quasirandom Groups and Applications
	Pham, Thang 1; Xue, Boqing2
	2024-12-01
发表期刊	JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS (IF:1.2[JCR-2023],1.2[5-Year])
ISSN	1069-5869
EISSN	1531-5851
卷号	30 期号:6
DOI	10.1007/s00041-024-10118-7
摘要	This paper aims to introduce a more general definition of quasirandom groups and generalize several well-known results in the literature in this new setting. More precisely, let G be a semi-direct product of groups and X subset of G\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$X\subseteq G$$\end{document}, we provide conditions such that one can find tuples (x0,& mldr;,xk)is an element of Xk+1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$(x_0, \ldots , x_k)\in X<^>{k+1}$$\end{document} satisfying x1x2 & mldr;xk=x0\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$x_1x_2\ldots x_k=x_0$$\end{document} or conditions to guarantee that the product set XX grows exponentially. In a special case of the group of rigid-motions on the plane over an arbitrary finite field, our results offer a reasonably complete description of structures of this group.
关键词	Quasirandom group Semi-direct product Rigid motion Product growth
URL	查看原文
收录类别	SCI
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:001352316300001
出版者	SPRINGER BIRKHAUSER
文献类型	期刊论文
条目标识符	https://kms.shanghaitech.edu.cn/handle/2MSLDSTB/381324
专题	数学科学研究所数学科学研究所_PI研究组(P)_薛博卿组
通讯作者	Xue, Boqing
作者单位	1.Vietnam Natl Univ, Univ Sci, Hanoi, Vietnam 2.ShanghaiTech Univ, Inst Math Sci, Shanghai, Peoples R China
通讯作者单位	数学科学研究所
推荐引用方式 GB/T 7714	Pham, Thang,Xue, Boqing. New-Type Quasirandom Groups and Applications[J]. JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS,2024,30(6).
APA	Pham, Thang,&Xue, Boqing.(2024).New-Type Quasirandom Groups and Applications.JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS,30(6).
MLA	Pham, Thang,et al."New-Type Quasirandom Groups and Applications".JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS 30.6(2024).