本文主要研究内容
作者（2019）在《Finite p-groups All of Whose Minimal Nonabelian Subgroups are Nonmetacyclic of Order p~3》一文中研究指出：Assume p is an odd prime. We investigate finite p-groups all of whose minimal nonabelian subgroups are of order p3. Let P1-groups denote the p-groups all of whose minimal nonabelian subgroups are nonmetacyclic of order p3. In this paper, the P1-groups are classified, and as a by-product,we prove the Hughes’ conjecture is true for the P1-groups.
Abstract
Assume p is an odd prime. We investigate finite p-groups all of whose minimal nonabelian subgroups are of order p3. Let P1-groups denote the p-groups all of whose minimal nonabelian subgroups are nonmetacyclic of order p3. In this paper, the P1-groups are classified, and as a by-product,we prove the Hughes’ conjecture is true for the P1-groups.
论文参考文献
[1].Finite p-groups whose nonnormal subgroups are metacyclic[J]. Qiangwei Song,Haipeng Qu. Science China Mathematics.[2].The Iwasava decomposition and intermediate subgroups of the Steinberg groups over the field of fractions of a principal ideal ring[J]. MOISEENKOVA T. V.,NUZHIN Ya. N.. Science in China(Series A:Mathematics).2009(02)[3].On the k(B)-problem with Cyclic Sylow 2-subgroups[J]. 吕克伟. 数学进展.1999(05)[4].2-Sylow Subgroups of K2OF for Real Quadratic Field and Class Group for Imaginary Quadratic Field[J]. 岳勤,冯克勤. Northeastern Mathematical Journal.1999(03)[5].Equicentralizer Subgroups of Sporadic Simple Groups[J]. 王萼芳. 数学进展.1988(01)[6].Amalgams of Rank 2 in Characteristic 3 Involving L2（5）[J]. 黄建华,马纪新,Bernd Stellmacher. Acta Mathematica Sinica.1989(03)[7].关于“A family of maxlmal subgroups containing the Sylow subgroups and some solvability conditions”一文的注记[J]. 张宝林,郭秀云. 数学研究与评论.1989(02)[8].THE STRUCTURE OF ORTHOGONAL GROUPS OVER ARBITRARY COMMUTATIVE RINGS[J]. 李福安. Chinese Annals of Mathematics.1989(03)[9].The p-local ranks of finite simple groups with abelian Sylow p-subgroups[J]. WANG BaoShan 1, & ZHANG ZhiKai 2 1 LMIB, School of Mathematics and System Sciences, Beihang University, Beijing 100191, China; 2 LMAM, School of Mathematical Sciences, Peking University, Beijing 100871, China. Science China(Mathematics).2011(02)[10].A Sufficient Condition for Mi-groups[J]. 何立国,朱刚. Northeastern Mathematical Journal.2003(04)
论文详细介绍
论文作者分别是来自Acta Mathematica Sinica的，发表于刊物Acta Mathematica Sinica2019年07期论文，是一篇关于,Acta Mathematica Sinica2019年07期论文的文章。本文可供学术参考使用，各位学者可以免费参考阅读下载，文章观点不代表本站观点，资料来自Acta Mathematica Sinica2019年07期论文网站，若本站收录的文献无意侵犯了您的著作版权，请联系我们删除。
标签：Acta Mathematica Sinica2019年07期论文;
：Finite p-groups All of Whose Minimal Nonabelian Subgroups are Nonmetacyclic of Order p~3论文
下载Doc文档