Suppose that G is a finite group and H is a subgroup of G. We say that H is ssemipermutable in G if HGv = GpH for any Sylow p-subgroup Gp of G with （p, ｜H｜） = 1. We investigate the influence of s-semipermutable su...Suppose that G is a finite group and H is a subgroup of G. We say that H is ssemipermutable in G if HGv = GpH for any Sylow p-subgroup Gp of G with （p, ｜H｜） = 1. We investigate the influence of s-semipermutable subgroups on the structure of finite groups. Some recent results are generalized and unified.展开更多
Let d be the smallest generator number of a finite p-group P and let Md(P) = {P1,...,Pd} be a set of maximal subgroups of P such that ∩di=1 Pi = Φ(P). In this paper, we study the structure of a finite group G under ...Let d be the smallest generator number of a finite p-group P and let Md(P) = {P1,...,Pd} be a set of maximal subgroups of P such that ∩di=1 Pi = Φ(P). In this paper, we study the structure of a finite group G under the assumption that every member in Md(Gp) is S-semipermutable in G for each prime divisor p of |G| and a Sylow p-subgroup Gp of G.展开更多
We prove that a finite group G is p-supersolvable or p-nilpotent if some sub- groups of G are weakly s-semipermutable in G. Several earlier results are generalized.
Suppose that H is a subgroup of a finite group G.We call H is semipermutable in G if HK=KH iov any subgroup K of G such that(|H|,|K|)=1;H is s-semipermutable in G if HG_(p)=G_(p)H,for any Sylow p-subgroup G_(p)of G su...Suppose that H is a subgroup of a finite group G.We call H is semipermutable in G if HK=KH iov any subgroup K of G such that(|H|,|K|)=1;H is s-semipermutable in G if HG_(p)=G_(p)H,for any Sylow p-subgroup G_(p)of G such that(|H|,p)=1.These two concepts have been received the attention of many scholars in group theory since they were introduced by Professor Zhongmu Chen in 1987.In recent decades,there are a lot of papers published via the application of these concepts.Here we summarize the results in this area and gives some thoughts in the research process.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 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
In this paper, the influence of s-semipermutable, c~#-normal, subnormally embedded and ss-quasinormal subgroups on the p-nilpotency of finite groups is investigated and some recent results are generalized.
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 National Natural Science Foundation of China (Grant No.10871210)Natural Science Foundation of Guangdong Province (Grant No.06023728)
文摘Suppose that G is a finite group and H is a subgroup of G. We say that H is ssemipermutable in G if HGv = GpH for any Sylow p-subgroup Gp of G with （p, ｜H｜） = 1. We investigate the influence of s-semipermutable subgroups on the structure of finite groups. Some recent results are generalized and unified.
基金the National Natural Science Foundation of China (No.10161001)the Natural Science Foundation of Guangxi Autonomous Region (No.0249001)a Research Grant of Shanghai University(No.SHUCX091043)
文摘Let d be the smallest generator number of a finite p-group P and let Md(P) = {P1,...,Pd} be a set of maximal subgroups of P such that ∩di=1 Pi = Φ(P). In this paper, we study the structure of a finite group G under the assumption that every member in Md(Gp) is S-semipermutable in G for each prime divisor p of |G| and a Sylow p-subgroup Gp of G.
基金Research of the authors is supported by NNSF of China （Grants 11171243 and 11001098）, Natural Science Foundation of Jiangsu （Grant BK20140451）, and University Natural Sci- ence Foundation of Jiangsu （Grant 14KJB110002）.
文摘We prove that a finite group G is p-supersolvable or p-nilpotent if some sub- groups of G are weakly s-semipermutable in G. Several earlier results are generalized.
基金supported in part by the project of NSF of China(12071092)the Science and Technology Program of Guangzhou Municipality,China(201804010088).
文摘Suppose that H is a subgroup of a finite group G.We call H is semipermutable in G if HK=KH iov any subgroup K of G such that(|H|,|K|)=1;H is s-semipermutable in G if HG_(p)=G_(p)H,for any Sylow p-subgroup G_(p)of G such that(|H|,p)=1.These two concepts have been received the attention of many scholars in group theory since they were introduced by Professor Zhongmu Chen in 1987.In recent decades,there are a lot of papers published via the application of these concepts.Here we summarize the results in this area and gives some thoughts in the research process.
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.
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.
基金Supported by SRFPYED(2017ZDX041)and SRFPYED(2016ZDX151)
文摘In this paper, the influence of s-semipermutable, c~#-normal, subnormally embedded and ss-quasinormal subgroups on the p-nilpotency of finite groups is investigated and some recent results are generalized.
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。
