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991.
N. S. Romanovskii 《Algebra and Logic》2008,47(6):426-434
A soluble group G is rigid if it contains a normal series of the form G = G1 > G2 > … > Gp > Gp+1 = 1, whose quotients Gi/Gi+1 are Abelian and are torsion-free as right ℤ[G/Gi]-modules. The concept of a rigid group appeared in studying algebraic geometry over groups that are close to free soluble.
In the class of all rigid groups, we distinguish divisible groups the elements of whose quotients Gi/Gi+1 are divisible by any elements of respective groups rings Z[G/Gi]. It is reasonable to suppose that algebraic geometry over divisible rigid groups is rather well structured. Abstract properties
of such groups are investigated. It is proved that in every divisible rigid group H that contains G as a subgroup, there is
a minimal divisible subgroup including G, which we call a divisible closure of G in H. Among divisible closures of G are divisible
completions of G that are distinguished by some natural condition. It is shown that a divisible completion is defined uniquely
up to G-isomorphism.
Supported by the Council for Grants (under RF President) and State Aid of Leading Scientific Schools (grant NSh-344.2008.1).
Translated from Algebra i Logika, Vol. 47, No. 6, pp. 762–776, November–December, 2008. 相似文献
992.
We are interested in the maximum possible number of facets that Dirichlet stereohedra for three-dimensional crystallographic
groups can have. In two previous papers, D. Bochiş and the second author studied the problem for noncubic groups. This paper
deals with “full” cubic groups, while “quarter” cubic groups are left for a subsequent paper. Here, “full” and “quarter” refers
to the recent classification of three-dimensional crystallographic groups by Conway, Delgado-Friedrichs, Huson and Thurston.
This paper’s main result is that Dirichlet stereohedra for any of the 27 full groups cannot have more than 25 facets. We also
find stereohedra with 17 facets for one of these groups.
Research partially supported by the Spanish Ministry of Education and Science, grant number MTM2005-08618-C02-02. 相似文献
993.
The isovariant version of Borsuk–Ulam type theorems has been studied by Wasserman and the first author. In this paper, first we consider the relation between the existence of Cn-isovariant maps from free Cn-manifolds to representation spheres and Borsuk–Ulam type inequalities for their dimensions. Our main result classifies the Cn-isovariant maps by Cn-isovariant homotopy types when a Borsuk–Ulam type inequality holds. For proving it, we use the multidegree of a Cn-equivariant map developed by the first author. 相似文献
994.
用群的共轭类个数刻画了交换群,同时用一个很简洁的方法重新证明了Frobenius G提出的一个著名问题:对于一个固定的数自然数n,共轭类数为n的有限群,在同构的意义下是有限的. 相似文献
995.
Tutte’s 3-Flow Conjecture suggests that every bridgeless graph with no 3-edge-cut can have its edges directed and labelled
by the numbers 1 or 2 in such a way that at each vertex the sum of incoming values equals the sum of outgoing values. In this
paper we show that Tutte’s 3-Flow Conjecture is true for Cayley graphs of groups whose Sylow 2-subgroup is a direct factor
of the group; in particular, it is true for Cayley graphs of nilpotent groups. This improves a recent result of Potočnik et al.
(Discrete Math. 297:119–127, 2005) concerning nowhere-zero 3-flows in abelian Cayley graphs. 相似文献
996.
We classify the members of an infinite family of right-angled Coxeter groups up to abstract commensurability.
997.
基团电负性 总被引:5,自引:0,他引:5
聂长明 《武汉大学学报(理学版)》2000,46(2):176-180
在电负性均衡原理基础上,提出了一个新的计算基团电负性公式用上式计算了528个开链基团和环状基团的电负性,计算结果与国内外流行几套基团电负性颇为一致,且呈明显的变化规律. 相似文献
998.
The convergence of the Mayer expansion is proved by estimating directly the convergence radius. 相似文献
999.
地空导弹武器系统效能评估指标体系研究 总被引:4,自引:0,他引:4
地空导弹武器系统效能评估是地空导弹武器系统研制和使用过程中的关键环节.效能评估指标体系的建立是保证效能评估科学、合理的重要基础.针对现代地空导弹武器系统的使用特点,在W SE IAC模型的框架下,构建了地空导弹武器系统效能评估指标体系,并给出了指标的分解及确定方法.研究结果可为地空导弹武器系统效能评估提供支持. 相似文献
1000.
Thirty four distinct composition series arising out of the 32 crystallographic double point groups are employed to re-derive
in a simple and elegant fashion all the 169 distinct colour symmetry groups generated by the 32 double point groups, exploiting
the idea of colour generators. The advantage of the method employed and some possible applications of these colour groups
are discussed. The resulting colour groups are tabulated. 相似文献