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| 1 | Finite p-Groups all of Whose Subgroups of Index p^(3) are Abelian显示文摘Suppose that G is a finite p-group.If all subgroups of index p^(t)of G are abelian and at least one subgroup of index p^(t−1)of G is not abelian,then G is called an A_(t)-group.We useA0-group to denote an abelian group.From the definition,we know every finite non-abelian p-group can be regarded as an A_(t)-group for some positive integer t.A_(1)-groups and A_(2)-groups have been classified.Classifying A_(3)-groups is an old problem.In this paper,some general properties about A_(t)-groups are given.A_(3)-groups are completely classified up to isomorphism.Moreover,we determine the Frattini subgroup,the derived subgroup and the center of every A_(3)-group,and give the number of A_(1)-subgroups and the triple(μ_(0),μ_(1),μ_(2))of every A_(3)-group,whereμi denotes the number of A_(i)-subgroups of index p of A_(3)-groups. | Qinhai Zhang Libo Zhao Miaomiao Li Yiqun Shen | 2015 | Communications in Mathematics and Statistics2015，3，1： | 9 |
| 2 | A classification of some regular p-groups and its applications显示文摘In this paper we classify regular p-groups with type invariants (e, 1, 1, 1) for e ≥ 2 and (1, 1, 1, 1, 1). As a by-product, we give a new approach to the classification of groups of order p5, p ≥ 5 a prime. | ZHANG Qinhai SONG Qiangwei XU Mingyao | 2006 | Science China Mathematics2006，49，3： | 9 |
| 3 | Finite p-groups with a minimal non-abelian subgroup of index p(Ⅱ)显示文摘We classify completely three-generator finite p-groups G such that Ф(G)≤Z(G)and|G′|≤p2.This paper is a part of the classification of finite p-groups with a minimal non-abelian subgroup of index p,and solve partly a problem proposed by Berkovich. | AN LiJian LI LiLi QU HaiPeng ZHANG QinHai | 2014 | Science China Mathematics2014，57，4： | 9 |
| 4 | Finite p-Groups in Which the Number of Subgroups of Possible Order Is Less Than or Equal to p^3显示文摘In this paper, groups of order pn in which the number of subgroups of possible order is less than or equal to p3 are classified. It turns out that if p > 2, n ≥ 5, then the classification of groups of order pn in which the number of subgroups of possible order is less than or equal to p3 and the classification of groups of order pn with a cyclic subgroup of index p2 are the same. | Haipeng QU Ying SUN Qinhai ZHANG | 2010 | Chinese Annals of Mathematics,Series B2010，31，4： | 7 |
| 5 | Finite 2-groups whose nonnormal subgroups have orders at most 2^3显示文摘在这份报纸,我们分类有限 2 组所有谁的 nonnormal 亚群至多有订单 23。和已知的结果,我们完全解决了 2279 由 Y 建议了的问题。Berkovich 和 Z。在一些主要力量顺序的 Janko,卷 3。 | Qinhai ZHANG Meijuan SU | 2012 | Frontiers of Mathematics in China2012，7，5： | 5 |
| 6 | On Hua-Tuan's conjecture显示文摘Let G be a finite group and |G| = pn, p be a prime. For 0 m n, sm(G) denotes the number of subgroups of of order pm of G. Loo-Keng Hua and Hsio-Fu Tuan have ever conjectured: for an arbitrary finite p-group G, if p > 2, then sm(G) ≡ 1, 1 + p, 1 + p + p2 or 1 + p + 2p2 (mod p3). In this paper, we investigate the conjecture, and give some p-groups in which the conjecture holds and some examples in which the conjecture does not hold. | ZHANG QinHai & QU HaiPeng School of Mathematics and Computer Sciences, Shanxi Normal University, Linfen 041004, China | 2009 | Science China Mathematics2009，52，2： | 5 |
| 7 | Finite p-groups whose nonnormal subgroups have orders at most p^3显示文摘 | Qinhai ZHANG Xiaoxiao LI Meijuan SU | 2014 | Frontiers of Mathematics in China2014，9，5： | 4 |
| 8 | Finite p-Groups with a Cyclic Subgroup of Index p^3显示文摘We classify up to isomorphism those finite p-groups,for odd primes p,which contain a cyclic subgroup of index p3. | Qinhai ZHANG Pujin LI | 2012 | Journal of Mathematical Research with Applications2012，32，5： | 4 |
| 9 | On Hua-Tuan's conjecture Ⅱ显示文摘Let G be a group of order pn, p a prime. For 0 m n, sm(G) denotes the number of subgroups of order pm of G. Loo-Keng Hua and Hsio-Fu Tuan had ever conjectured: for an arbitrary finite p-group G, if p > 2, then sm(G) ≡ 1, 1+p, 1+p+p2 or 1+p+2p2(mod p3). The conjecture has a negative answer. In this paper, we further investigate the conjecture and propose two new conjectures. | ZHANG QinHai QU HaiPeng | 2011 | Science China Mathematics2011，54，1： | 2 |
| 10 | Finite 2-groups whose length of chain of aonnormal subgroups is at most 2显示文摘 | Qiangwei SONG Qinhai ZHANG | 2018 | Frontiers of Mathematics in China2018，13，5： | 1 |
| 11 | s-semipermutability and abnormality in finite groups显示文摘 | Qinhai Zhang | 1999 | Communications in Algebra1999，，9： | 1 |
| 12 | On self-normality and abnormality in the alternating group Ap显示文摘 | Qinhai Zhang | 1999 | Archiv der Mathematik1999，，1： | 1 |
| 13 | A classification of metacyclic 2-groups显示文摘 | Xu Mingyao Zhang Qinhai | | 0，，： | 1 |
| 14 | Finite groups whose subgroups are subnormal or selfnormal显示文摘 | | 1991 | Journal of ShanxiNormal University (Natural Science)1991，，4： | 1 |
| 15 | Finite groups with only quasinormal and selfnormal subgroups显示文摘 | Wang Junxin | 1995 | Acta Math Sincia1995，38，3： | 1 |
| 16 | Towards High Value-ad-ded Products and Services显示文摘 | Jianxin Jiao Qinhai Ma Mitchell M Tseng | 2001 | Technovation2001，，： | 1 |
| 17 | BPR- Based Information Systems Planning for E- Logistics: A Case Study显示文摘 | Jiao Jianxin Lee Alan Chee Guan Chin Kee Min Chang Chia Shian Ma Qinhai | 2003 | International Journal of Services Technology and Management2003，4，46： | 1 |
| 18 | Towards High Value--added Products and Services:Mass Customization and Beyond显示文摘 | Jiao Jianxin Ma Qinhai Tseng M M | 2003 | Technovation2003，23，10： | 1 |
| 19 | Repurposing of a clinically used anti-HPV agent to prevent and treat SARS-CoV-2 infection as an intranasal formulation显示文摘Dear Editor,Fan et al.have shown that whey protein,such as that found in human,bovine,and goat milk,could effectively inhibit SARS-CoV-2 infection,but they did not identify the components in whey protein having this activity.1 Since p-lactoglobulin(P-LG)is the main component of whey protein,we herein tested the anti-SARS-CoV-2 activity of p-LG and 3-hydroxyphthalic anhydride(3HP)-modified P-LG(3HP-P-LG),an active component in anti-human papillomavirus(HPV)biological dressing(JB01-BD)that has been used in clinics since 2013 to block cervical infection of HPV. | Chen Hua Qinhai Ma Yun Zhu Shuai Xia Zezhong Liu Lin Li Lu Lu Nanshan Zhong Shuwen Liu Zifeng Yang Shibo Jiang | 2021 | Signal Transduction and Targeted Therapy2021，6，9： | 1 |
| 20 | Synthesis and properties of carbon dioxide-epoxides copolymers from rare earth metal catalyst显示文摘 | QUAN Zhilong MIN Jiadong ZHOU Qinhai | 2003 | Macromol Syrup2003，195，： | 1 |
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