限制性内切酶Bsp78I的化学修饰与动力学研究

从Ｂａｃｉｌｌｕｓｓｐｈａｅｒｉｃｕｓ７８菌中将Ｂｓｐ７８Ｉ纯化到均一程度．测得该酶对ｐＢＲ３２２ＤＮＡ的Ｋｍ值为２．６７×１０－８ｍｏｌ·Ｌ－１．用对氯汞苯甲酸、磷酸吡哆醛、２，３一丁二酮修饰该酶巯基、赖氨酸、精氨酸残基，结果表明这些基团均与该酶活性有关．     

The discriminant of an algebraic torus

For a torus T defined over a global field K, we revisit an analytic class number formula obtained by Shyr in the 1970s as a generalization of Dirichlet?s class number formula. We prove a local-global presentation of the quasi-discriminant of T, which enters into this formula, in terms of cocharacters of T. This presentation can serve as a more natural definition of this invariant.     

限购政策对杭州新建商品住宅价格的影响

断点回归（regression discontinuity,RD）是检验因果关系的有效方法,近年来,其在宏观政策评价中的应用越来越广泛。2016年G20峰会召开、货币政策调整等利好导致杭州房地产市场过快增长,杭州市政府于同年9月重启限购政策,并于2017年3月加大限购力度,限购范围扩大至杭州市户籍居民家庭。从实证角度研究了限购政策对新建住宅价格的影响。结果表明,限购政策均对新建商品住宅价格产生了具统计学意义的显著负向影响,2次降幅分别为400.26元和4 082.2元。回归模型通过了有效性检验,且在不同的阶数、核函数、带宽下具有稳健性,说明杭州市住房限购政策的实施在短期内对投资性购房需求起到了一定的抑制作用。     

特征标表各列零点个数不超过2个的有限群

继续考虑特征标的零点对有限群结构的影响, 并给出了特征标表中 每列至多有两个零点的有限群的分类,从而完成了特征标表中每列至多 $p$ ($p$是群的阶的最小素因子)个零点的有限群的完全分类.     

3g3维半单Hopf代数的结构

设g为素数,k是特征为零的代数闭域,日是k上的3q3维半单Hopf代数．本文证明了日总是半可解的,即H可由群代数或对偶群代数经过扩张得到．     

相关于Brauer图的若干例子

Brauer图对于刻画有限群的p-块是非常关键的．高零不可约（复）特征标在有限群模表示理论中的Brauer图中扮演着重要的角色．本文用若干例子阐述了关于高零不可约特征标的几个问题．     

Absolute Fourth Moments and Finiteness of Linear Groups

Let G be a finite group. Let V be a faithful irreducible complex G-module whose tensor square is nearly irreducible. We answer a question of N. M. Katz by showing that no noncentral element of G has an eigenspace of dimension greater than 7/8 the dimension of V.     

Finite Solvable Groups with an Irreducible Character Vanishing on Just One Class of Elements

The aim of this note is to classify the finite solvable groups with an irreducible character that vanishes on just one class of elements.     

Verifying Huppert's Conjecture for PSL3(q) and PSU3(q 2)

Let G be a finite group and cd(G) be the set of irreducible character degrees of G. Bertram Huppert conjectured that if H is a finite nonabelian simple group such that cd(G) = cd(H), then G ? H × A, where A is an abelian group. We examine arguments to verify this conjecture for the simple groups of Lie type of rank two. To illustrate our arguments, we extend Huppert's results and verify the conjecture for the simple linear and unitary groups of rank two.     

The Kernel of the Average Sylow Multiplicity Character and the Solvable Radical

Let G be a finite group, and let p ₁,…, p _m be the distinct prime divisors of |G|. Given a sequence 𝒫 =P ₁,…, P _m , where P _i is a Sylow p _i -subgroup of G, and g ∈ G, denote by m _𝒫(g) the number of factorizations g = g ₁…g _m such that g _i  ∈ P _i . Previously, it was shown that the properly normalized average of m _𝒫 over all 𝒫 is a complex character over G termed the Average Sylow Multiplicity Character. The present article identifies the kernel of this character as the subgroup of G consisting of all g ∈ G such that m _𝒫(gx) = m _𝒫(x) for all 𝒫 and all x ∈ G. This result implies a close connection between the kernel and the solvable radical of G.