共查询到20条相似文献,搜索用时 400 毫秒
1.
I. Kh. Bekker 《Mathematical Notes》1997,61(4):399-408
In the paper, sufficient conditions for the splittability of mixed Abelian groups with periodic automorphism groups are established.
Classes of mixed splittable Abelian groups with perfect holomorphs are distinguished.
Translated fromMaternaticheskie Zametki, Vol. 61, No. 4, pp. 483–493, April, 1997.
Translated by A. I. Shtern 相似文献
2.
从自同构群的角度出发,给出了一些具有有限性条件的、最大Abel商群为局部循环群的可解群的结构. 相似文献
3.
In the paper, necessary and sufficient conditions for an Abelian group A to be isomorphic to the endomorphism group End(A) are obtained. The classes of periodic Abelian groups, divisible Abelian groups, nonreduced Abelian groups, and reduced algebraically compact Abelian groups are considered. For certain classes of Abelian groups, the isomorphism problem for a group and its endomorphism group is solved under the assumption that the endomorphism group itself has the corresponding property. 相似文献
4.
Gerald Williams 《代数通讯》2013,41(1):251-258
The class of groups defined by periodic paired relations, as introduced by Vinberg, includes the generalized triangle groups, the generalized tetrahedron groups, and the generalized Coxeter groups. We observe that any group defined by periodic paired relations Γ can be realized as a so-called “Pride group”. Using results of Howie and Kopteva we give necessary and sufficient conditions for this Pride group to be non-spherical. Under such conditions, we show that Γ satisfies the Tits alternative. Communicated by A. Olshanskiy 相似文献
5.
N. G. Khisamiev 《Siberian Mathematical Journal》2009,50(1):181-187
We consider a torsion-free nilpotent R p -group, the p-rank of whose quotient by the commutant is equal to 1 and either the rank of the center by the commutant is infinite or the rank of the group by the commutant is finite. We prove that the group is constructivizable if and only if it is isomorphic to the central extension of some divisible torsion-free constructive abelian group by some torsion-free constructive abelian R p -group with a computably enumerable basis and a computable system of commutators. We obtain similar criteria for groups of that type as well as divisible groups to be positively defined. We also obtain sufficient conditions for the constructivizability of positively defined groups. 相似文献
6.
We give some conditions under which a finite group belongs to a Baer-local formation containing all finite supersoluble groups. 相似文献
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8.
A CHARACTERIZATION OF LOCALLY COMPACT INNER AMENABLE GROUPS 总被引:1,自引:0,他引:1
Ali Ghaffari 《数学物理学报(B辑英文版)》2008,28(3):588-594
For locally compact groups G, Kuan Yuan studied a notion of inner amenability groups, that is, if there exists an inner invariant mean on G. In this article, among other things, the author investigates the inner amenability on a locally compact group G. The author gives sufficient conditions and some necessary conditions about G to have an inner invariant mean. 相似文献
9.
10.
We study groups having the big powers property BP. It is proved that if a pregroup satisfies some natural axioms, then its
universal group has this property. In particular, fundamental groups of some graphs of groups have the big powers property
if BP holds for edge and vertex subgroups and a number of natural conditions are satisfied. The results obtained are applied
to Lyndon’s completions U(P)ℤ[t] of the universal group U(P) with P satisfying the conditions mentioned.
Dedicated to V. N. Remeslennikov on the occasion of his 70th birthday
Translated from Algebra i Logika, Vol. 48, No. 3, pp. 342–377, May–June, 2009. 相似文献
11.
We propound a descent principle by which previously constructed equations over GF(q
n)(X) may be deformed to have incarnations over GF(q)(X) without changing their Galois groups. Currently this is achieved by starting with a vectorial (= additive)q-polynomial ofq-degreem with Galois group GL(m, q) and then, under suitable conditions, enlarging its Galois group to GL(m, q
n) by forming its generalized iterate relative to an auxiliary irreducible polynomial of degreen. Elsewhere this was proved under certain conditions by using the classification of finite simple groups, and under some other
conditions by using Kantor’s classification of linear groups containing a Singer cycle. Now under different conditions we
prove it by using Cameron-Kantor’s classification of two-transitive linear groups. 相似文献
12.
引入弱SS-半置换子群的概念,介绍了弱SS-半置换子群的性质,结合有限群G的极小于群的弱SS-半置换性,并结合C-正规性来讨论有限群的超可解性及幂零性,得到了有限群超可解及幂零的若干充分或充要条件,同时推广了某些著名结果. 相似文献
13.
S. Maillot 《Commentarii Mathematici Helvetici》2001,76(1):29-60
We give a characterization of virtual surface groups as groups quasi-isometric to complete simply-connected Riemannian surfaces.
Results on the equivalence up to quasi-isometry of various bounded geometry conditions for Riemannian surfaces are also obtained.
Received: January 18, 2000 相似文献
14.
XU ShangJin WU ZhengFei & DENG YunPing College of Mathematics Information Science Guangxi University Nanning 《中国科学A辑(英文版)》2009,(2)
A graph is said to be s-arc-regular if its full automorphism group acts regularly on the set of its s-arcs. In this paper, we investigate connected cubic s-arc-regular Cayley graphs of finite nonabelian simple groups. Two suffcient and necessary conditions for such graphs to be 1- or 2-arc-regular are given and based on the conditions, several infinite families of 1-or 2-arc-regular cubic Cayley graphs of alternating groups are constructed. 相似文献
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16.
A. A. Yadchenko 《Mathematical Notes》2007,82(3-4):418-425
In the present paper, the properties of orders of coprime automorphisms of irreducible linear groups are established and sufficient conditions for the existence of a normal Hall π-subgroup in a given π-separable irreducible complex linear group are obtained. Библиография: 11 наэваний. 相似文献
17.
Ignacio Bajo 《Geometriae Dedicata》1997,66(3):281-291
Lie groups with bi-invariant semi-Riemannian metrics are considered. We study the decomposition of the algebra of prederivations of a direct sum of Lie algebras and derive some results on the isotropy group of a bi-invariant product Lie group. We also give necessary and sufficient conditions to ensure that all isometries of a complex Lie group, endowed with a bi-invariant Norden metric, are holomorphic. 相似文献
18.
Each of the groups in the class under consideration in the paper is presented by one defining relation depending on three integral parameters and is an HNN-extension of some Baumslag—Solitar group. Necessary and sufficient conditions for two groups of this class to be isomorphic and also for two nonisomorphic groups to be homomorphic images of each other are obtained. A consequence of this fact is the negative answer to Question 3.33 in “The Kourovka Notebook.” 相似文献
19.
A graph is said to be s-arc-regular if its full automorphism group acts regularly on the set of its s-arcs. In this paper, we investigate connected cubic s-arc-regular Cayley graphs of finite nonabelian simple groups. Two sufficient and necessary conditions for such graphs to
be 1- or 2-arcregular are given and based on the conditions, several infinite families of 1- or 2-arc-regular cubic Cayley
graphs of alternating groups are constructed.
This work was supported by Guangxi Science Foundations (Grant No. 0832054) and Guangxi Postgraduate Education Innovation Research
(Grant No. 2008105930701M102) 相似文献
20.
殷霞 《数学的实践与认识》2012,42(5):164-169
研究了有限群的结构问题,利用子群c-半置换和完全c-半置换的定义和性质,通过对有限群sylow子群的2-极大子群的研究,获得了有限群幂零、p-幂零的充分条件和另外两个决定群结构的充要条件. 相似文献