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P-GROUP: 作品数：30被引量：30H指数：4; 导出分析报告; 相关领域：理学更多>>; 相关作者：肖长城更多>>; 相关机构：广西民族学院更多>>; 相关期刊：《Journal of Mathematical Research with Applications》《Science China Mathematics》《Chinese Annals of Mathematics,Series B》《Chinese Quarterly Journal of Mathematics》更多>>; 相关基金：国家自然科学基金山西省自然科学基金河南省自然科学基金广东省自然科学基金更多>>

The unitary subgroups of group algebras for a class of finite 2-groups with the derived subgroup of order 2: 《Science China Mathematics》2024年第9期1989-2018,共30页Yulei Wang Heguo Liu; supported by National Natural Science Foundation of China(Grant No.12171142)。; Let p be a prime and F be a finite field of characteristic p.Suppose that FG is the group algebra of the finite p-group G over the field F.Let V(FG)denote the group of normalized units in FG and let V_(*)(FG)denote th...; 关键词：normalized unit unitary subgroup inner abelian p-group central extension

Finite p-groups with abelian maximal subgroups generated by two elements: 《Frontiers of Mathematics in China》2024年第1期1-12,共12页Zhixiu LI Haipeng QU; Assume that G is a finite non-abelian p-group.If G has an abelian maximal subgroup whose number of Generators is at least n,then G is called an M_(n)-group.For p=2,M_(2)-groups have been classified.For odd prime p,thi...; 关键词：Finite p-group regular p-group abelian maximal subgroupnumber of Generators

Automorphisms of a Class of Finite p-groups with a Cyclic Derived Subgroup被引量：1: 《Acta Mathematica Sinica,English Series》2021年第6期926-940,共15页Yu Lei WANG He Guo LIU; Supported by NSFC(Grant Nos.11601121,11771129);Natural Science Foundation of He’nan Province of China(Grant No.162300410066)。; Let p be an odd prime,and let k be a nonzero nature number.Suppose that nonabelian group G is a central extension as follows1→G’→G→Z_(pK)×…×Z_(pK),where G’≌Zpk,andζG/G’is a,direct factor of G/G’.Then G is ...; 关键词：AUTOMORPHISM P-GROUP cyclic derived subgroup symplectic group

Finite p-groups whose nonnormal subgroups are metacyclic被引量：2: 《Science China Mathematics》2020年第7期1271-1284,共14页Qiangwei Song Haipeng Qu; supported by National Natural Science Foundation of China(Grant Nos.11771258 and 11471198)。; For an odd prime p,we give a criterion for finite p-groups whose nonnormal subgroups are metacyclic,and based on the criterion,the p-groups whose nonnormal subgroups are metacyclic are classified up to isomorphism.Thi...; 关键词：metacyclic groups minimal nonabelian groups minimal nonmetacyclic groups p-groups of maximal class the rank of a p-group

The Transfer Ideal under the Action of a Nonmetacyclic Group in the Modular Case: 《Communications in Mathematical Research》2019年第3期273-282,共10页JIA PAN-PAN NAN JI-ZHU; The NSF (11771176) of China; Let Fq be a finite field of characteristic p (p ≠2) and V4 a four-dimensional Fq-vector space. In this paper, we mainly determine the structure of the transfer ideal for the ring of polynomials Fq[V4] under the actio...; 关键词：INVARIANT P-GROUP coinvariant TRANSFER IDEAL principal IDEAL

Factorization Numbers of a Class of Finite p-groups: 《Chinese Quarterly Journal of Mathematics》2018年第4期434-440,共7页WANG Yu-lei ZHANG Yuan-feng GUO Peng; Supported by National Natural Science Foundation of China(11601121);Henan Provincial Natural Science Foundation of China(162300410066); Let p be a prime number and f_2(G) be the number of factorizations G = AB of the group G, where A, B are subgroups of G. Let G be a class of finite p-groups as follows,G = a, b | a^(p^n)= b^(p^m)= 1, a^b= a^(p^(n-1)+1...; 关键词：finite P-GROUP FACTORIZATION number SUBGROUP COMMUTATIVITY DEGREE

The Action on p-Groups and p-Supersolvability: 《Algebra Colloquium》2017年第4期685-696,共12页Pengfei Bai Xiuyun Guo Boru Zhang; The research was partially supported by the National Natural Science Foundation of China （11371237） and a grant of the First-Class Discipline of Universities in Shanghai.; Let a finite group A act on a finite p-group P with ｜P｜〉 p^e, where e is an integer with e 〉 2. In this paper, we show that P is centralized by OP（A^Ap-1） if every non-maximal class p-group of order p^e in P is ...; 关键词：action maximal class p-group p-supersolvability 3p-permutability

On the Structure of the Augmentation Quotient Group for Some Non-abelian p-groups: 《Communications in Mathematical Research》2017年第4期289-303,共15页ZHAO HUI-FANG NAN JI-ZHU Du Xian-kun; The NSF(11371343,11461047)of China; In this paper, we study the basis of augmentation ideals and the quotient groups of finite non-abelian p-group which has a cyclic subgroup of index p, where p is an odd prime, and k is greater than or equal to 3. A co...; 关键词：integral group ring augmentation ideal quotient group P-GROUP

Finite p-Groups with Large or Small Normal Closures of Non-Normal Cyclic Subgroups: 《Journal of Mathematical Research with Applications》2017年第2期209-213,共5页Libo ZHAO Lu GONG; Supported by the National Natural Science Foundation of China(Grant Nos.11526114;11601245);the Natural Science Foundation of Guangdong Province(Grant No.2015A030313791);the Innovative Team Project of Guangdong Province(CHINA)(Grant No.2014KTSCX196);Guangdong Province Innovation Talent Project for Youths(Grant No.2015KQNCX107);the Appropriative Researching Fund for Doctors,Guangdong University of Education(Grant No.2013ARF07); A p-group G is called a JC-group if the normal closure HG of every cyclic subgroup H satisfies｜G：HG｜≤p or｜HG：H｜≤p.In this paper, we classify the non-Dedekindian JC-groups for p 〉 2.; 关键词：JC-group non-Dedekindian p-group regular p-group

Automorphism Groups of Some Finite p-Groups被引量：1: 《Algebra Colloquium》2016年第4期623-650,共28页Heguo Liu Yulei Wang; Project supported by NSFC （11371124, 11301150） and the Natural Science Foundation of Henan Province of China （142300410134, 162300410066）.; The automorphism group of G is determined, where G is a nonabelian p-group given by a central extension as 1→Zpm→G→Zp×…×Zp→1 such that its derived subgroup has order p.; 关键词：generalized extraspecial p-group symplectic space orthogonal space auto-morphism central extension

P-GROUP