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
Let F be a saturated formation containing the class of supersolvable groups and let G be a finite group. The following theorems are shown： （1） G ∈ F if and only if there is a normal subgroup H such that G/H ∈ F a...Let F be a saturated formation containing the class of supersolvable groups and let G be a finite group. The following theorems are shown： （1） G ∈ F if and only if there is a normal subgroup H such that G/H ∈ F and every maximal subgroup of all Sylow subgroups of H is either c-normal or s-quasinormally embedded in G; （2） G ∈F if and only if there is a soluble normal subgroup H such that G/H∈F and every maximal subgroup of all Sylow subgroups of F（H）, the Fitting subgroup of H, is either e-normally or s-quasinormally embedded in G.展开更多
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
目的观察咳喘镇定汤在小儿咳嗽变异性哮喘治疗中的作用及对患儿嗜酸性粒细胞计数(eosinophil count,EOS)、白介素-23(interleukin-23,IL-23)/辅助性T细胞17(helper T cells17,Th17)轴的影响。方法选取2020年8月—2023年2月收治的小儿咳...目的观察咳喘镇定汤在小儿咳嗽变异性哮喘治疗中的作用及对患儿嗜酸性粒细胞计数(eosinophil count,EOS)、白介素-23(interleukin-23,IL-23)/辅助性T细胞17(helper T cells17,Th17)轴的影响。方法选取2020年8月—2023年2月收治的小儿咳嗽变异性哮喘患儿104例,将患儿采用简单随机法分为两组。常规组给予止咳化痰、抗炎、平喘等常规治疗,咳喘镇定汤组在常规组基础上采用咳喘镇定汤辅助治疗。检测组间及组内T淋巴亚群、EOS、巨噬细胞炎症蛋白-1α(macrophage inflammatory protein-1α,MIP-1α)、Clara细胞分泌蛋白16(clara cell secreted protein 16,CC-16)、嗜酸细胞活化趋化因子(Eotaxin)、IL-23/Th17轴、小气道功能水平。评估组间及组内咳嗽症状评分、中医证候评分差异。统计组间疗效和不良反应。结果治疗前T淋巴亚群、CC-16、Eotaxin等差异无统计学意义(P>0.05)。两组治疗后CD_(8)^(+)、EOS、MIP-1α、Eotaxin降低,CC-16、CD_(4)^(+)、CD_(4)^(+)/CD_(8)^(+)升高,咳喘镇定汤组治疗后CD_(8)^(+)、EOS、MIP-1α、Eotaxin低于常规组,CC-16、CD_(4)^(+)、CD_(4)^(+)/CD_(8)^(+)高于常规组(P<0.05)。治疗前比较IL-23/Th17轴差异无统计学意义(P>0.05)。两组治疗后IL-23、Th17、白介素-17(interleukin-17,IL-17)降低,咳喘镇定汤组治疗后IL-23/Th17轴低于常规组(P<0.05)。治疗前相关评分无差异(P>0.05)。两组治疗后咳嗽症状评分、中医证候评分降低,咳喘镇定汤组治疗后咳嗽症状评分、中医症候评分低于常规组(P<0.05)。治疗前小气道功能无差异(P>0.05)。两组治疗后小气道功能升高,咳喘镇定汤组治疗后小气道功能高于常规组(P<0.05)。咳喘镇定汤组治愈13例,显效和有效共35例,总有效率92.31%高于常规组,差异有统计学意义(P<0.05)。结论咳喘镇定汤可通过调控小儿咳嗽变异性哮喘患儿IL-23/Th17轴,改善T淋巴亚群和小气道功能,减轻咳嗽症状,提高疗效。展开更多
Let G be a finite group. A subgroup H of G is called an H-subgroup in G if NG（H）∩ H^g ≤ H for all g C G. A subgroup H of G is called a weakly H-subgroup in G if there exists a normal subgroup K of G such that G = ...Let G be a finite group. A subgroup H of G is called an H-subgroup in G if NG（H）∩ H^g ≤ H for all g C G. A subgroup H of G is called a weakly H-subgroup in G if there exists a normal subgroup K of G such that G = HK and H N K is an H-subgroup in G. In this paper, we investigate the structure of the finite group G under the assumption that every subgroup of G of prime order or of order 4 is a weakly H-subgroup in G. Our results improve and generalize several recent results in the literature.展开更多
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the Natural Science Foundation of Chinathe Natural Science Foundation of Guangxi Autonomous Region (No.0249001)
文摘Let F be a saturated formation containing the class of supersolvable groups and let G be a finite group. The following theorems are shown： （1） G ∈ F if and only if there is a normal subgroup H such that G/H ∈ F and every maximal subgroup of all Sylow subgroups of H is either c-normal or s-quasinormally embedded in G; （2） G ∈F if and only if there is a soluble normal subgroup H such that G/H∈F and every maximal subgroup of all Sylow subgroups of F（H）, the Fitting subgroup of H, is either e-normally or s-quasinormally embedded in G.
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.
文摘目的观察咳喘镇定汤在小儿咳嗽变异性哮喘治疗中的作用及对患儿嗜酸性粒细胞计数(eosinophil count,EOS)、白介素-23(interleukin-23,IL-23)/辅助性T细胞17(helper T cells17,Th17)轴的影响。方法选取2020年8月—2023年2月收治的小儿咳嗽变异性哮喘患儿104例,将患儿采用简单随机法分为两组。常规组给予止咳化痰、抗炎、平喘等常规治疗,咳喘镇定汤组在常规组基础上采用咳喘镇定汤辅助治疗。检测组间及组内T淋巴亚群、EOS、巨噬细胞炎症蛋白-1α(macrophage inflammatory protein-1α,MIP-1α)、Clara细胞分泌蛋白16(clara cell secreted protein 16,CC-16)、嗜酸细胞活化趋化因子(Eotaxin)、IL-23/Th17轴、小气道功能水平。评估组间及组内咳嗽症状评分、中医证候评分差异。统计组间疗效和不良反应。结果治疗前T淋巴亚群、CC-16、Eotaxin等差异无统计学意义(P>0.05)。两组治疗后CD_(8)^(+)、EOS、MIP-1α、Eotaxin降低,CC-16、CD_(4)^(+)、CD_(4)^(+)/CD_(8)^(+)升高,咳喘镇定汤组治疗后CD_(8)^(+)、EOS、MIP-1α、Eotaxin低于常规组,CC-16、CD_(4)^(+)、CD_(4)^(+)/CD_(8)^(+)高于常规组(P<0.05)。治疗前比较IL-23/Th17轴差异无统计学意义(P>0.05)。两组治疗后IL-23、Th17、白介素-17(interleukin-17,IL-17)降低,咳喘镇定汤组治疗后IL-23/Th17轴低于常规组(P<0.05)。治疗前相关评分无差异(P>0.05)。两组治疗后咳嗽症状评分、中医证候评分降低,咳喘镇定汤组治疗后咳嗽症状评分、中医症候评分低于常规组(P<0.05)。治疗前小气道功能无差异(P>0.05)。两组治疗后小气道功能升高,咳喘镇定汤组治疗后小气道功能高于常规组(P<0.05)。咳喘镇定汤组治愈13例,显效和有效共35例,总有效率92.31%高于常规组,差异有统计学意义(P<0.05)。结论咳喘镇定汤可通过调控小儿咳嗽变异性哮喘患儿IL-23/Th17轴,改善T淋巴亚群和小气道功能,减轻咳嗽症状,提高疗效。
基金supported by the Deanship of Scientific Research(DSR) at King Abdulaziz University(KAU) represented by the Unit of Research Groups through the grant number(MG/31/01) for the group entitled "Abstract Algebra and its Applications"
文摘Let G be a finite group. A subgroup H of G is called an H-subgroup in G if NG（H）∩ H^g ≤ H for all g C G. A subgroup H of G is called a weakly H-subgroup in G if there exists a normal subgroup K of G such that G = HK and H N K is an H-subgroup in G. In this paper, we investigate the structure of the finite group G under the assumption that every subgroup of G of prime order or of order 4 is a weakly H-subgroup in G. Our results improve and generalize several recent results in the literature.
