In order to answer a question motivated by constructing substitution boxes in block ciphers we will exhibit an infinite family of full-rank factorizations of elementary 2-groups into two factors having equal sizes.
The present note determines the structure of the K2-group and of its subgroup over a finite commutative ring R by considering relations between R andfinite commutative local ring Ri (1 < i < m), where R Ri and K...The present note determines the structure of the K2-group and of its subgroup over a finite commutative ring R by considering relations between R andfinite commutative local ring Ri (1 < i < m), where R Ri and K2(R) =K2(Ri). We show that if charKi= p (Ki denotes the residual field of Ri), then K2(Ri) and its subgroups must be p-groups.展开更多
Let p be a prime and F_p be a finite field of p elements.Let F_(pG)denote the group algebra of the finite p-group G over the field F_(p)and V(F_(pG))denote the group of normalized units in F_(pG).Suppose that G and H ...Let p be a prime and F_p be a finite field of p elements.Let F_(pG)denote the group algebra of the finite p-group G over the field F_(p)and V(F_(pG))denote the group of normalized units in F_(pG).Suppose that G and H are finite p-groups given by a central extension of the form 1→Z_(p)^(m)→G→Z_(p)×···×Z_(p)→1 and G'≌Z_(p),m≥1.Then V(F_(p)G)≌V(F_(p)H)if and only if G≌H.Balogh and Bovdi only solved the isomorphism problem when p is odd.In this paper,the case p=2 is determined.展开更多
文摘In order to answer a question motivated by constructing substitution boxes in block ciphers we will exhibit an infinite family of full-rank factorizations of elementary 2-groups into two factors having equal sizes.
文摘The present note determines the structure of the K2-group and of its subgroup over a finite commutative ring R by considering relations between R andfinite commutative local ring Ri (1 < i < m), where R Ri and K2(R) =K2(Ri). We show that if charKi= p (Ki denotes the residual field of Ri), then K2(Ri) and its subgroups must be p-groups.
基金National Natural Science Foundation of China(Grant No.12171142)。
文摘Let p be a prime and F_p be a finite field of p elements.Let F_(pG)denote the group algebra of the finite p-group G over the field F_(p)and V(F_(pG))denote the group of normalized units in F_(pG).Suppose that G and H are finite p-groups given by a central extension of the form 1→Z_(p)^(m)→G→Z_(p)×···×Z_(p)→1 and G'≌Z_(p),m≥1.Then V(F_(p)G)≌V(F_(p)H)if and only if G≌H.Balogh and Bovdi only solved the isomorphism problem when p is odd.In this paper,the case p=2 is determined.
文摘目的:探讨不同年龄段住院2型糖尿病(type 2 diabetes mellitus,T2DM)患者临床特征及心血管事件发生影响因素。方法:收集2019年1月至12月石家庄市第二医院108例住院T2DM患者的临床资料,根据心血管事件发生分为发生组和未发生组,比较两组临床特征及不同年龄住院T2DM患者临床特征,采用Logistic回归方程分析住院T2DM患者心血管事件发生影响因素。结果:(1)所有患者均获得2年随访结果,心血管事件发生率为37.04%;(2)发生组年龄、T2DM病程、糖化血红蛋白(glycosylated hemoglobin,HbA1c)、半乳糖凝集素-3(galectin-3,Gal-3)、高血压病史均大或长或高于未发生组,踝肱指数、C1q/肿瘤坏死因子相关蛋白9(C1q/tumor necrosis factor related protein 9,CTRP9)低于未发生组(P<0.05);(3)老年组T2DM病程、HbA1c、Gal-3、高血压病史均大或长或高于中青年组,踝肱指数、CTRP9低于中青年组(P<0.05);(4)T2DM病程、踝肱指数、年龄、CTRP9是住院T2DM患者心血管事件发生影响因素(P<0.05)。结论:T2DM病程、踝肱指数、年龄、CTRP9可能是导致住院T2DM患者心血管事件发生的影响因素,临床实际中应密切关注伴有上述情况的住院T2DM患者,积极防治,促进预后改善。
