A characteristic property of elementary 2-groups of rank six

Author:

Szabó Sándor1

Affiliation:

1. 1 University of Pécs Institute of Mathematics and Informatics Ifjúság u. 6 7624 Pécs Hungary

Abstract

Consider a finite abelian group G which is a direct product of its subsets A and B both containing the identity element e. If the non-periodicity of A and B forces that neither A nor B can span the whole G, then G must be an elementary 2-group of rank six.

Publisher

Akademiai Kiado Zrt.

Subject

General Mathematics

Reference9 articles.

1. On the factorization of finite abelian groups;Bruijn N. G.;Indag. Math. Kon. Ned. Akad. Wetersch.,1953

2. Tiling of binary spaces;Cohen G. D.;SIAM J. Discrete Math.,1996

3. Small p-groups without full-rank factorization;Haanpää H.;International Journal of Algebra and Computation,2008

4. Sur la factorisation des groupes abéliens;Hajós G.;Časopis Pěs. Mat. Fys.,1950

5. Sur la probléme de factorisation des groupes cycliques;Hajós G.;Acta Math. Acad. Sci. Hungar.,1950

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3