共查询到19条相似文献,搜索用时 78 毫秒
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在《数学学报》2013年第56卷第4期中,"Suzuki-Ree群的自同构群的一个新刻画"一文证明了Aut(~2F_4(q)),q=2~f和Aut(~2G_2(q)),q=3~f,可由其阶分量刻画,其中f=3~s,s为正整数.本文证明了Aut(~2B_2(q)),q=2~f和Aut(2G2(q)),q=3~f,也可由其阶分量刻画,其中f为奇素数.结合二者得到结论:Suzuki-Ree单群的所有的素图不连通的自同构群皆可由其阶分量刻画. 相似文献
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设H是复Hilbert空间,M是H上维数大于1的因子von Neumann代数,M+是M的正锥.设λ∈[0,1],定义Ao_λ=λA1/2BA1/2+(1-λ)B1/2AB1/2,?A,B∈M+,称o_λ为M+上的凸序列积.本文证明了M+上的凸序列积自同构是由M的一个*-同构或*-反同构实现. 相似文献
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通过计数给定基础图的标根地图数,本文得到了树的自同构群的如下恒等式∑T∈T(n)Πd∈D(T)^(d-1)!/|AutT|=(2n-1)!/n!(n 1)!,这里T(n),D(T)分别表示n阶不同构树集,树T的次序列。 相似文献
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令G是一个奇阶群。本文证明了:当G具有小阶时,G不能作为一个有限群的全自同构群。 相似文献
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证明了: 若n是大于1的奇数, 使得对任意素数p都有p4æn, 则不存在有限群G, 使得|Aut(G)| = n. 相似文献
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Coxeter’s regular skew polyhedra in euclidean 4-space IE4 are intimately related to the self-dual regular 4-polytopes. The same holds for two of the three Petrie-Coxeter-polyhedra and the (self-dual) cubical tessellation in IE3. In this paper we discuss the combinatorial Petrie-Coxeter-polyhedra associated with the self-dual regular 4-incidence-polytopes. 相似文献
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《数学的实践与认识》2013,(14)
使用Bidwell和Curran在2006年引入的描述半直积的自同构的矩阵方法,结合作者等人在2010年证明的关于稳定自同构群的矩阵公式,得到了一类正则圈积的自同构群的矩阵描述,并求出了自同构群的阶. 相似文献
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Stanislav Jendrol 《Geometriae Dedicata》1997,68(1):91-99
In this paper we prove that each convex 3-polytope contains a path on three vertices with restricted degrees which is one of the ten types. This result strengthens a theorem by Kotzig that each convex 3-polytope has an edge with the degree sum of its end vertices at most 13. 相似文献
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Dengpin LIU 《数学年刊B辑(英文版)》2013,34(5):697-714
In this paper the author gives a method of constructing characteristic matrices,and uses it to determine the Buchstaber invariants of all simple convex 3-polytopes,which imply that each simple convex 3-polytope admits a characteristic function.As a further application of the method,the author also gives a simple new proof of five-color theorem. 相似文献
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设p为奇素数,本文给出了中心循环中心商的阶小于p^5的有限p-群的完全分类并且给出它们中无对合自同构的群的自同构群的阶。由此,我们找到了能作为有限群自同构群的p^mq^n阶群和p^n阶群,统一和推广了Curran在1988年和Caranti与Scoppola在1990年的文章的所有结果。 相似文献
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It is a well-known fact that characters of a finite group can give
important information about the structure of the group. It was also
proved by the third author that a finite simple group can be
uniquely determined by its character table. Here the authors attempt
to investigate how to characterize a finite almost-simple group by
using less information of its character table, and successfully
characterize the automorphism groups of Mathieu groups by their
orders and at most two irreducible character degrees of their
character tables. 相似文献
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E. I. Khukhro 《Siberian Mathematical Journal》2002,43(5):955-962
We prove that if a finite group G of rank r admits an automorphism of prime order having exactly m fixed points, then G has a -invariant subgroup of (r,m)-bounded index which is nilpotent of r-bounded class (Theorem 1). Thus, for automorphisms of prime order the previous results of Shalev, Khukhro, and Jaikin-Zapirain are strengthened. The proof rests, in particular, on a result about regular automorphisms of Lie rings (Theorem 3). The general case reduces modulo available results to the case of finite p-groups. For reduction to Lie rings powerful p-groups are also used. For them a useful fact is proved which allows us to glue together nilpotency classes of factors of certain normal series (Theorem 2). 相似文献
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A. Below U. Brehm J. A. De Loera and J. Richter-Gebert 《Discrete and Computational Geometry》2000,24(1):35-48
This paper addresses three questions related to minimal triangulations of a three-dimensional convex polytope P .
• Can the minimal number of tetrahedra in a triangulation be decreased if one allows the use of interior points of P as vertices?
• Can a dissection of P use fewer tetrahedra than a triangulation?
• Does the size of a minimal triangulation depend on the geometric realization of P ?
The main result of this paper is that all these questions have an affirmative answer. Even stronger, the gaps of size produced
by allowing interior vertices or by using dissections may be linear in the number of points.
Received August 16, 1999, and in revised form February 29, 2000. Online publication May 19, 2000. 相似文献
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