A subgroup H of a group G is said to be self-conjugate-permutable if HHx=H xH implies H^(x)=H for any x of G.A finite group G is called an SC-group(P SC-group,respectively)if all cyclic subgroups of G of order 2 or or...A subgroup H of a group G is said to be self-conjugate-permutable if HHx=H xH implies H^(x)=H for any x of G.A finite group G is called an SC-group(P SC-group,respectively)if all cyclic subgroups of G of order 2 or order 4(prime order or order 4,respectively)are selfconjugate-permutable in G.In this paper,we first investigate the structure of finite non-solvable groups all of whose second maximal subgroups are SC-groups;then we mainly investigate the structure of finite groups in which all of maximal subgroups of even order are P SC-groups.In fact,we describe the structure of finite groups which are not P SC-groups but all of whose maximal subgroups of even order are P SC-groups.展开更多
Let X be a nonempty subset of a group G. A subgroup H of G is said to be X-spermutable in G if, for every Sylow subgroup T of G, there exists an element x E X such that HT^x= T^xH. In this paper, we obtain some result...Let X be a nonempty subset of a group G. A subgroup H of G is said to be X-spermutable in G if, for every Sylow subgroup T of G, there exists an element x E X such that HT^x= T^xH. In this paper, we obtain some results about the X-s-permutable subgroups and use them to determine the structure of some finite groups.展开更多
Let X be a nonempty subset of a group G. A subgroup H of G is said to be X- s-permutable in G if there exists an element x E X such that HP^x = P^xH for every Sylow subgroup P of G. In this paper, some new results are...Let X be a nonempty subset of a group G. A subgroup H of G is said to be X- s-permutable in G if there exists an element x E X such that HP^x = P^xH for every Sylow subgroup P of G. In this paper, some new results are given under the assumption that some suited subgroups of G are X-s-permutable in G.展开更多
Letσ={σi|i∈I}be some partition of the set P of all primes and G afinite group.A set H of subgroups of G is said to be a complete Hallσ-set of G ifevery member≠1 of H is a Hallσi-subgroup of G for some i c l and ...Letσ={σi|i∈I}be some partition of the set P of all primes and G afinite group.A set H of subgroups of G is said to be a complete Hallσ-set of G ifevery member≠1 of H is a Hallσi-subgroup of G for some i c l and H containsexactly one Hallσi-subgroup of G for every i such thatσi∩π(G)≠Ø.A subgroupA of G is said to be H-permutable if A permutes with all members of the completeHallσ-set H of G.In this paper,we study the structure of G under the assuming thatsome subgroups of G areσ-permutable.展开更多
Let G be a finite group and H a subgroup of G.The normal index of H in G is defined as the order of K/H_(G),where K is a normal supplement of H in G such that|K|is minimal and H_(G)≤K■G.Let p be a prime which divide...Let G be a finite group and H a subgroup of G.The normal index of H in G is defined as the order of K/H_(G),where K is a normal supplement of H in G such that|K|is minimal and H_(G)≤K■G.Let p be a prime which divides the order of a group G.In this paper,some characterizations of G being p-solvable or p-supersolvable were obtained by analyzing the normal index of certain subgroups of G.These results can be viewed as local version of recent results in the literature.展开更多
Let P be a Sylow p-subgroup of a group G with the smallest generator number d, where p is a prime. Denote by Md（P） = （P1, P2,..., Pd） a set of maximal subgroups of P such that φ（P） = ∩n^d=1Pn. In this paper, w...Let P be a Sylow p-subgroup of a group G with the smallest generator number d, where p is a prime. Denote by Md（P） = （P1, P2,..., Pd） a set of maximal subgroups of P such that φ（P） = ∩n^d=1Pn. In this paper, we investigate the structure of a finite group G under the assumption that the maximal subgroups in Md（P） are weakly s-permutably embedded in G, some interesting results are obtained which generalize some recent results. Finally, we give some further results in terms of weakly s-permutably embedded subgroups.展开更多
Let G be a finite group.A subgroup H of G is said to be σ-c-propermutable in G if G has a subgroup B such that G=N_(G)(H)B and for every Hall σ_(i)-subgroup B_(i) of B,there exists an element x∈B such that HB_(i)^(...Let G be a finite group.A subgroup H of G is said to be σ-c-propermutable in G if G has a subgroup B such that G=N_(G)(H)B and for every Hall σ_(i)-subgroup B_(i) of B,there exists an element x∈B such that HB_(i)^(x)=B_(i)^(x) H.In this paper,the influence of σ-c-propermutable subgroups on the structure of finite groups is investigated,and some criteria for a normal subgroup of G to be hypercyclically embedded in G are derived.展开更多
In this paper,we introduce the set of maximal subgroups with non-trivial core and their corresponding second maximal subgroups.A correlation characterization of the group class J_(pr)is presented by establishing the r...In this paper,we introduce the set of maximal subgroups with non-trivial core and their corresponding second maximal subgroups.A correlation characterization of the group class J_(pr)is presented by establishing the relationship between the core and the second maximal subgroups in these classifications.展开更多
In clinical research,subgroup analysis can help identify patient groups that respond better or worse to specific treatments,improve therapeutic effect and safety,and is of great significance in precision medicine.This...In clinical research,subgroup analysis can help identify patient groups that respond better or worse to specific treatments,improve therapeutic effect and safety,and is of great significance in precision medicine.This article considers subgroup analysis methods for longitudinal data containing multiple covariates and biomarkers.We divide subgroups based on whether a linear combination of these biomarkers exceeds a predetermined threshold,and assess the heterogeneity of treatment effects across subgroups using the interaction between subgroups and exposure variables.Quantile regression is used to better characterize the global distribution of the response variable and sparsity penalties are imposed to achieve variable selection of covariates and biomarkers.The effectiveness of our proposed methodology for both variable selection and parameter estimation is verified through random simulations.Finally,we demonstrate the application of this method by analyzing data from the PA.3 trial,further illustrating the practicality of the method proposed in this paper.展开更多
目的:分析肿瘤患者输血相容性检测过程中的疑难情况,综合不同实验方法准确鉴定血型抗原和抗体,保障患者输血安全。方法:对2021年01月至2024年01月医院送检我中心的肿瘤患者血型及合血疑难样本进一步检测。血清中检出意外抗体的标本进行...目的:分析肿瘤患者输血相容性检测过程中的疑难情况,综合不同实验方法准确鉴定血型抗原和抗体,保障患者输血安全。方法:对2021年01月至2024年01月医院送检我中心的肿瘤患者血型及合血疑难样本进一步检测。血清中检出意外抗体的标本进行抗体筛查、鉴定和对应血型抗原确认;ABO疑难血型标本应用盐水试管法、吸收放散等血清学实验综合判断;疑似亚型标本提取DNA,应用序列特异性引物PCR(PCR-SSP)法进行基因检测,典型标本进行三代测序即单分子实时荧光测序(single molecule real time sequencing,SMRT)分析。结果:255例送检肿瘤患者疑难样本中,148例检出意外抗体,出现频率以抗-Lea最高(21.9%),其次为抗-E(20.6%)、抗-M(18.7%),26例样本(16.8%)未确定抗体特异性。107例样本血型鉴定困难:43例样本ABO血型复核无异常,35例样本ABO血型抗体减弱,29例样本表现为血清学亚型,其中PCR-SSP证实11例为亚型。3例典型样本血清学表现为A亚B,PCR-SSP基因分型结果分别为B(A)02/O01,B(A)04/O02,A1B;SMRT测序基因分型结果分别为ABO*BA.02/O.01.01,ABO*BA.04/O.01.02,ABO*A1.02/B.01,未发现新突变。结论:血型意外抗体、ABO血型抗原减弱及抗体减弱是构成肿瘤患者输血相容性检测疑难问题的主要原因。未来可考虑将RH和MNS血型抗原纳入献血者检测范围,并引入分子生物学技术,为患者制定个体化输血策略提供参考。展开更多
基金Supported by the National Natural Science Foundation of China(Grant No.12061030)the Natural Science Foundation of Hainan Province(Grant No.122RC652).
文摘A subgroup H of a group G is said to be self-conjugate-permutable if HHx=H xH implies H^(x)=H for any x of G.A finite group G is called an SC-group(P SC-group,respectively)if all cyclic subgroups of G of order 2 or order 4(prime order or order 4,respectively)are selfconjugate-permutable in G.In this paper,we first investigate the structure of finite non-solvable groups all of whose second maximal subgroups are SC-groups;then we mainly investigate the structure of finite groups in which all of maximal subgroups of even order are P SC-groups.In fact,we describe the structure of finite groups which are not P SC-groups but all of whose maximal subgroups of even order are P SC-groups.
基金Foundation item： the National Natural Science Foundation of China （No. 10771180） the Postgraduate Innovation Grant of Jiangsu Province and the International Joint Research Fund between NSFC and RFBR.
文摘Let X be a nonempty subset of a group G. A subgroup H of G is said to be X-spermutable in G if, for every Sylow subgroup T of G, there exists an element x E X such that HT^x= T^xH. In this paper, we obtain some results about the X-s-permutable subgroups and use them to determine the structure of some finite groups.
基金Supported by the National Natural Science Foundation of China (Grant No10871210)the Natural Science Foundation of Guangdong Province (Grant No06023728)
文摘Let X be a nonempty subset of a group G. A subgroup H of G is said to be X- s-permutable in G if there exists an element x E X such that HP^x = P^xH for every Sylow subgroup P of G. In this paper, some new results are given under the assumption that some suited subgroups of G are X-s-permutable in G.
基金a NNSF grant of China(Grant#11371335)Wu Wen-TsunKey Laboratory of Mathematics of Chinese Academy of Sciences.Research of the third author is supported by Chinese Academy of Sciences Visiting Professorship for Senior International Scientists(Grant No.2010T2J12).
文摘Letσ={σi|i∈I}be some partition of the set P of all primes and G afinite group.A set H of subgroups of G is said to be a complete Hallσ-set of G ifevery member≠1 of H is a Hallσi-subgroup of G for some i c l and H containsexactly one Hallσi-subgroup of G for every i such thatσi∩π(G)≠Ø.A subgroupA of G is said to be H-permutable if A permutes with all members of the completeHallσ-set H of G.In this paper,we study the structure of G under the assuming thatsome subgroups of G areσ-permutable.
基金Supported by the National Natural Science Foundation of China(Grant No.12071092)Guangdong Basic and Applied Basic Research Foundation(Grant No.2025A1515012072)+1 种基金the Natural Science Research Project of Anhui Educational Committee(Grant No.2024AH051298)the Scientific Research Foundation of Bozhou University(Grant No.BYKQ202419).
文摘Let G be a finite group and H a subgroup of G.The normal index of H in G is defined as the order of K/H_(G),where K is a normal supplement of H in G such that|K|is minimal and H_(G)≤K■G.Let p be a prime which divides the order of a group G.In this paper,some characterizations of G being p-solvable or p-supersolvable were obtained by analyzing the normal index of certain subgroups of G.These results can be viewed as local version of recent results in the literature.
基金the National Natural Science Foundation of China(Grant Nos.1120108211171353)+2 种基金China Postdoctoral Science Foundation(Grant No.2013T60866)the Natural Science Foundation of Guangdong Province(Grant No.S201204007267)Outstanding Young Teachers Training Project of Guangdong Province(GrantNo.Yq2013061)
文摘Let P be a Sylow p-subgroup of a group G with the smallest generator number d, where p is a prime. Denote by Md（P） = （P1, P2,..., Pd） a set of maximal subgroups of P such that φ（P） = ∩n^d=1Pn. In this paper, we investigate the structure of a finite group G under the assumption that the maximal subgroups in Md（P） are weakly s-permutably embedded in G, some interesting results are obtained which generalize some recent results. Finally, we give some further results in terms of weakly s-permutably embedded subgroups.
文摘Let G be a finite group.A subgroup H of G is said to be σ-c-propermutable in G if G has a subgroup B such that G=N_(G)(H)B and for every Hall σ_(i)-subgroup B_(i) of B,there exists an element x∈B such that HB_(i)^(x)=B_(i)^(x) H.In this paper,the influence of σ-c-propermutable subgroups on the structure of finite groups is investigated,and some criteria for a normal subgroup of G to be hypercyclically embedded in G are derived.
基金Supported by the National Natural Science Foundation of China(Grant Nos.1237101812201236)+1 种基金the Fundamental Research Funds for the Central Universities(Grant No.B240201093/2013)the Natural Science Foundation of the Anhui Higher Education Institutions(Grant No.2022AH051907)。
文摘In this paper,we introduce the set of maximal subgroups with non-trivial core and their corresponding second maximal subgroups.A correlation characterization of the group class J_(pr)is presented by establishing the relationship between the core and the second maximal subgroups in these classifications.
基金Supported by the Natural Science Foundation of Fujian Province(2022J011177,2024J01903)the Key Project of Fujian Provincial Education Department(JZ230054)。
文摘In clinical research,subgroup analysis can help identify patient groups that respond better or worse to specific treatments,improve therapeutic effect and safety,and is of great significance in precision medicine.This article considers subgroup analysis methods for longitudinal data containing multiple covariates and biomarkers.We divide subgroups based on whether a linear combination of these biomarkers exceeds a predetermined threshold,and assess the heterogeneity of treatment effects across subgroups using the interaction between subgroups and exposure variables.Quantile regression is used to better characterize the global distribution of the response variable and sparsity penalties are imposed to achieve variable selection of covariates and biomarkers.The effectiveness of our proposed methodology for both variable selection and parameter estimation is verified through random simulations.Finally,we demonstrate the application of this method by analyzing data from the PA.3 trial,further illustrating the practicality of the method proposed in this paper.
文摘目的:分析肿瘤患者输血相容性检测过程中的疑难情况,综合不同实验方法准确鉴定血型抗原和抗体,保障患者输血安全。方法:对2021年01月至2024年01月医院送检我中心的肿瘤患者血型及合血疑难样本进一步检测。血清中检出意外抗体的标本进行抗体筛查、鉴定和对应血型抗原确认;ABO疑难血型标本应用盐水试管法、吸收放散等血清学实验综合判断;疑似亚型标本提取DNA,应用序列特异性引物PCR(PCR-SSP)法进行基因检测,典型标本进行三代测序即单分子实时荧光测序(single molecule real time sequencing,SMRT)分析。结果:255例送检肿瘤患者疑难样本中,148例检出意外抗体,出现频率以抗-Lea最高(21.9%),其次为抗-E(20.6%)、抗-M(18.7%),26例样本(16.8%)未确定抗体特异性。107例样本血型鉴定困难:43例样本ABO血型复核无异常,35例样本ABO血型抗体减弱,29例样本表现为血清学亚型,其中PCR-SSP证实11例为亚型。3例典型样本血清学表现为A亚B,PCR-SSP基因分型结果分别为B(A)02/O01,B(A)04/O02,A1B;SMRT测序基因分型结果分别为ABO*BA.02/O.01.01,ABO*BA.04/O.01.02,ABO*A1.02/B.01,未发现新突变。结论:血型意外抗体、ABO血型抗原减弱及抗体减弱是构成肿瘤患者输血相容性检测疑难问题的主要原因。未来可考虑将RH和MNS血型抗原纳入献血者检测范围,并引入分子生物学技术,为患者制定个体化输血策略提供参考。
