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非正规极大子群同阶类类数=2的有限群 总被引:6,自引:2,他引:4
本文利用有限单群分类定理证明了下述定理:如果有限非可解群G恰有2个非正规极大子群同阶类,那么G/S(G)?PSL(2,7),这里S(G)表示G的最大可解正规子群。 相似文献
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在这篇注记中,我们利用群的射影极限性质证明了广义四元数群的Coleman外自同构群或者是1或者是一个初等阿贝尔2-群. 相似文献
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半正规n-极大子群对有限群结构的影响 总被引:1,自引:0,他引:1
设△↓n(G)为有限群G的n次极大子群的全体。1.若△↓4(G)中的子群均在G中半正规,则下述结论之一成立:(1)G是可解群;(2)G/φ(G)=A5,(3)G/φ(G)=PSL(2,13);(4)G/φ(G)=PSL(2,p),满足p=4p1 1=6p2-1,这里p1≥43,p2≥29;(5)G/φ(G)=PSL(2,p),满足p=6p1 1=4p2-1,这里p1≥7,p2≥11.2。2.设3不属于π(G),若△↓(G)中的子群均在G中半正规,则G是可解群,或G/φ(G)=Sz(2^3). 相似文献
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设G为有限群, 如果G的每个非2-闭极大子群的指数均为素数幂, 那么
G-S(G)≌PSL2(7)或1, 其中S(G)为G的最大可解正规子群. 相似文献
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证明了非幂零极大子群共轭类类数等于2的有限群必可解,并给出了非幂零极大子群同阶类类数等于2的非可解群的等价刻画. 相似文献
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同无限二面体群关联的晶体群的分类 总被引:3,自引:1,他引:2
设V是实数域R}上的一个2-维向量空间,V带有一个仿射的或不定的对称双线性型.无限二面体群W能够被看作GL(V)的一个子群.在本文中,在仿射群A(V)中共轭的意义下将分类同W关联的所有晶体群. 相似文献
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In this paper, the Hopf Ore extension and corresponding module extension of the group algebra over dihedral group are studied. It turns out that the 1-dimensional and 2- dimensional simple representations can both be extended to the simple representations over a class of Hopf Ore extension. 相似文献
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We construct a nonlow2 r.e. degree d such that every positive extension of embeddings property that holds below every low2 degree holds below d . Indeed, we can also guarantee the converse so that there is a low r.e. degree c such that that the extension of embeddings properties true below c are exactly the ones true belowd.Moreover, we can also guarantee that no b ≤ d is the base of a nonsplitting pair. 相似文献
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Ahmad AL-SALMAN 《数学学报(英文版)》2007,23(11):2003-2016
The author studies the L^p mapping properties of a class of maximal functions that are related to oscillatory singular integral operators. Lp estimates, as well as the corresponding weighted estimates of such maximal functions, are obtained. Moreover, several applications of our results are highlighted. 相似文献
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In Gao’s previous work, the authors determined several degree conditions of a graph which admits fractional factor in particular settings. It was revealed that these degree conditions are tight if b = f(x) = g(x) = a for all vertices x in G. In this paper, we continue to discuss these degree conditions for admitting fractional factor in the setting that several vertices and edges are removed and there is a difference Δ between g(x) and f(x) for every vertex x in G. These obtained new degree conditions reformulate Gao’s previous conclusions, and show how Δ acts in the results. Furthermore,counterexamples are structured to reveal the sharpness of degree conditions in the setting f(x) =g(x) + Δ. 相似文献
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无挠左(右)Artin环是拟Frobenius环乌成伟(吉林工学院基础部,长春130012)关键词内积,左(右)内零化子,自内射环.分类号AMS(1991)16D50/CCLO153.3设R为有1的左(右)Artin环,如果对于任一整数洲与r∈R,m... 相似文献
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Ioana Boca 《代数通讯》2013,41(8):2593-2606
The construction used in Schur's central extension theorem is generalized by proving that given a cocommutative Hopf algebra H, there is a cocornmutative central extension B of H such that any projective representation of H lifts to an ordinary representation of B. The extension B is the crossed product of H with the finite dual of the group algebra kZ1, where Z1denotes the group of normal cocycles on H with values in the ground field k. 相似文献
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《代数通讯》2013,41(8):3227-3245
Abstract We determine the number of elements of order two in the group of normalized units V(𝔽2 G) of the group algebra 𝔽2 G of a 2-group of maximal class over the field 𝔽2 of two elements. As a consequence for the 2-groups G and H of maximal class we have that V(𝔽2 G) and V(𝔽2 H) are isomorphic if and only if G and H are isomorphic. 相似文献
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Spectral Integral Variations of Degree Maximal Graphs 总被引:3,自引:0,他引:3
Fan Yizheng 《Linear and Multilinear Algebra》2003,51(2):147-154
The concept of the spectral integral variation was introduced by Fan [Fan Yizheng (2002). On spectral integral variations of graphs. Linear and Multilinear Algebra , 50 , 133-142] to study the general graphs with all changed eigenvalues moving up by integers when an edge is added. Here we consider the spectral integral variations of maximal graphs G , and successfully give an equivalent condition for the spectral integral variation of G occurring in two places by adding an edge e . We also characterize whether the graph G + e is maximal so that an explicit interpretation of the above condition is obtained, where G + e denotes the graph obtained from G by adding an edge e . 相似文献