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P-GROUPS: 作品数：41被引量：59H指数：6; 导出分析报告; 相关领域：理学更多>>; 相关期刊：《Journal of Mathematical Research with Applications》《Science China Mathematics》《Journal of Mathematical Study》《Chinese Annals of Mathematics,Series B》更多>>; 相关基金：国家自然科学基金山西省自然科学基金广西壮族自治区自然科学基金河南省自然科学基金更多>>

Lower Bounds on the Number of Cyclic Subgroups in Finite Non-Cyclic Nilpotent Groups: 《Journal of Mathematical Study》2023年第1期93-102,共10页Wei Meng Jiakuan Lu; supported by Guangxi Natural Science Foundation Program(Grant No.2021JJA10003);National Natural Science Foundation of China(Grant No.12161021);Guangxi Colleges and Universities Key Laboratory of Data Analysis and Computation;J.K.Lu is supported by National Natural Science Foundation of China(Grant No.11861015);Guangxi Natural Science Foundation Program(Grant No.2020GXNSFAA238045).; Let G be a finite group and c(G)denote the number of cyclic subgroups of G.It is known that the minimal value of c on the set of groups of order n,where n is a positive integer,will occur at the cyclic group Zn.In thi...; 关键词：P-GROUPS cyclic subgroups Nilpotent groups

A Classification of Finite Metahamiltonian p-Groups: 《Communications in Mathematics and Statistics》2021年第2期239-260,共22页Xingui Fang Lijian An; This work was supported by NSFC(Nos.11971280,11771258).; A finite non-abelian group G is called metahamiltonian if every subgroup of G is either abelian or normal in G.If G is non-nilpotent,then the structure of G has been determined.If G is nilpotent,then the structure of ...; 关键词：Minimal non-abelian groups Hamiltonian groups Metahamiltonian groups A_(2)-groups

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 Subgroups of Finite Metacyclic Groups: 《Chinese Annals of Mathematics,Series B》2020年第2期241-266,共26页Xu YANG; the National Natural Science Foundation of China(No.11331006)。; In this paper, the author characterizes the subgroups of a finite metacyclic group K by building a one to one correspondence between certain 3-tuples(k, l, β) ∈ N3 and all the subgroups of K. The results are applied...; 关键词：Metacyclic GROUPS SUBGROUPS Metacyclic P-GROUPS CHARACTERISTIC SUBGROUPS

Self-complementary Cayley Graphs of Extraspecial p-groups: 《Acta Mathematica Sinica,English Series》2019年第12期1963-1971,共9页Lei WANG Yin LIU; supported by NSF of Yunnan Province(Grant No.2017FD071);Educational Department Fund of Yunnan(Grant No.2019J0026); This paper constructs several families of self-complementary Cayley graphs of extraspecial p-groups,where p is a prime and congruent to 1 modulo 4.; 关键词：Self-complementary GRAPH CAYLEY GRAPH COMPLEMENTARY ISOMORPHISM

Finite p-Groups Whose Number of Subgroups of Each Order Is at most p^4: 《Algebra Colloquium》2019年第3期411-424,共14页Lifang Wang; Assume G is a group of order p^n,where p is an odd prime.Let sk(G)denote the number of subgroups of order p^k of G.We give a criterion for a p-group to be with sk(G)≤p^4 for each integer k satisfying 1≤k≤n.Moreover...; 关键词：finite P-GROUPS ENUMERATION of SUBGROUPS type of REGULAR P-GROUPS

The Automorphism Group of a Finite p-Group with a Cyclic Frattini Subgroup: 《Chinese Annals of Mathematics,Series B》2019年第4期613-642,共30页Heguo LIU Yulei WANG; supported by the National Natural Science Foundation of China(Nos.11771129,11301150,11601121);the Natural Science Foundation of Henan Province of China(No.162300410066); Let G be a finite p-group with a cyclic Frattini subgroup. In this paper, the automorphism group of G is determined.; 关键词：Finite P-GROUPS FRATTINI SUBGROUPS AUTOMORPHISMS

Finite p-groups All of Whose Minimal Nonabelian Subgroups are Nonmetacyclic of Order p^3被引量：1: 《Acta Mathematica Sinica,English Series》2019年第7期1179-1189,共11页Qin Hai ZHANG; Supported by National Natural Science Foundation of China(Grant Nos.11771258 and 11471198); Assume p is an odd prime. We investigate finite p-groups all of whose minimal nonabelian subgroups are of order p^3. Let P1-groups denote the p-groups all of whose minimal nonabelian subgroups are nonme tacyclic of or...; 关键词：Finite P-GROUPS a MINIMAL nonabelian SUBGROUP the HUGHES SUBGROUP P-GROUPS of MAXIMAL class

Finite p-Groups Whose Subgroups of Given Order are Isomorphic and Minimal Non-abelian被引量：1: 《Algebra Colloquium》2019年第1期1-8,共8页Qinhai Zhang; Finite p-groups whose subgroups of given order are isomorphic and minimal non-abelian are classified. In addition, two results on a chain condition of At-groups are improved.; 关键词：metacyclic P-GROUPS At-groups chain condition of At-groups

Finite p-groups whose non-normal subgroups have few orders被引量：3: 《Frontiers of Mathematics in China》2018年第4期763-777,共15页Lijian AN; This work was supported in part by the National Natural Science Foundation of China （Grant Nos. 11471198, 11771258）.; Suppose that G is a finite p-group. If G is not a Dedekind group, then G has a non-normal subgroup. We use p^M（G） and p^m（G） to denote the maximum and minimum of the orders of the non-normal subgroups of G, respec...; 关键词：Finite p-groups meta-hamiltonian p-groups non-normal subgroups

P-GROUPS