共查询到20条相似文献,搜索用时 0 毫秒
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我们讨论了p-幂零限制李超代数的一些性质,分别给出了p-幂零和幂零限制李超代数的几个充分必要条件,并讨论了幂零与p-幂零之间的关系.最后,证明了幂零限制李超代数的一些性质. 相似文献
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A. S. Kondrat’ev I. V. Khramtsov 《Proceedings of the Steklov Institute of Mathematics》2012,277(1):43-50
A three-player game is considered in which the first and second players have dynamic superiority over the third player. Two fixed time points are specified. The game ends if either the first player captures the third player at the first time point, or the second player captures the third player at the second time point. We analyze a situation when the initial positions in the game are such that neither the first nor the second player alone can capture the third player at the specified points of time. We propose sufficient conditions on the parameters of the game under which, for given initial states of the players, the first and second players by applying some controls can guarantee that one of them will meet the third player at the prescribed moment. Simulation results for a model example are also presented. 相似文献
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On automorphism groups of some finite groups 总被引:1,自引:0,他引:1
钱国华 《中国科学A辑(英文版)》2003,46(4):450-458
We show that if n > 1 is odd and has no divisor p4 for any prime p, then there is no finite group G such that│Aut(G)│ = n. 相似文献
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Mohammad Zarrin 《Archiv der Mathematik》2009,93(6):497-503
For any group G, let |Cent(G)| denote the number of centralizers of its elements. A group G is called n-centralizer if |Cent(G)| = n. In this paper, we find |Cent(G)| for all minimal simple groups. Using these results we prove that there exist finite simple groups G and H with the property that |Cent(G)| = |Cent(H)| but ${G\not\cong H}$ . This result gives a negative answer to a question raised by A. Ashrafi and B. Taeri. We also characterize all finite semi-simple groups G with |Cent(G)| ≤ 73. 相似文献
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Let G be a finite group. A normal subgroup N of G is a union of several G-conjugacy classes, and it is called n-decomposable in G if it is a union of n distinct G-conjugacy classes. In this paper, we first classify finite non-perfect groups satisfying the condition that the numbers of conjugacy classes contained in its non-trivial normal subgroups are two consecutive positive integers, and we later prove that there is no non-perfect group such that the numbers of conjugacy classes contained in its non-trivial normal subgroups are 2, 3, 4 and 5. 相似文献
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Costantino Delizia 《代数通讯》2013,41(11):3531-3535
In this paper we will give necessary and sufficient conditions under which A ⊕ B = A ⊕ C implies B and C are comparable relative to ≤ for all finitely generated projective modules A, B and C over a regular ring 相似文献
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A. Ballester-Bolinches R. Esteban-Romero Derek J. S. Robinson 《Proceedings of the American Mathematical Society》2005,133(12):3455-3462
A critical group for a class of groups is a minimal non- -group. The critical groups are determined for various classes of finite groups. As a consequence, a classification of the minimal non-nilpotent groups (also called Schmidt groups) is given, together with a complete proof of Gol'fand's theorem on maximal Schmidt groups.
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We deal with the question of existence of a universal object in the category of universal locally finite groups; the answer
is negative for many uncountable cardinalities; for example, for 2ℵ
0, and assuming G.C.H. for every cardinal whose confinality is >ℵ0. However, if λ>κ when κ is strongly compact and of λ=ℵ0, then there exists a universal locally finite group of cardinality λ. The idea is to use the failure of the amalgamation
property in a strong sense. We shall also prove the failure of the amalgamation property for universal locally finite groups
by transferring the kind of failure of the amalgamation property from LF into ULF.
We would like to thank Simon Thomas for reading carefully a preliminary version of this paper, proving Lemma 20 and making
valuable remarks. Also we thank the United States—Israel Binational Science Foundation for partially supporting this work. 相似文献
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An element of a group G is called semi-rational if all generators of \(\langle x\rangle \) lie in the union of two conjugacy classes of G. If all elements of G are semi-rational, then G is called a semi-rational group. In this paper, we determine all semi-rational simple groups. Our study in this article generalises Feit and Seitz’s result (Ill J Math 33(1):103–131, 1989) to semi-rational groups. 相似文献
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