共查询到20条相似文献,搜索用时 62 毫秒
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本文利用一种新方法,考虑交换群Cp2×Cp 的自同构群,得到了该自同构群的结构.我们的结论是:Aut(Cp2×Cp)[Cp- 1∝(Cp×Cp)]holCp. 相似文献
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4p阶群及2p2阶群的自同构群 总被引:3,自引:0,他引:3
黄平安 《纯粹数学与应用数学》2000,16(4):41-46
给出了4p阶群和2p^2阶群的自同构群的结构,这里P是奇素数。 相似文献
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在半群不含单位元的情况下,给出了两个半群的半直积和圈积是左Clifford拟正则半群的充分必要条件. 相似文献
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本文给出两个么半群S和T的半直积和圈积为弱Clifford拟正则么半群的充要条件和半直积的结构,同时还讨论了弱Clifford拟正则么半群的最小群同余与半直积的最小群同余之间的关系。 相似文献
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设G是无限Cernikov p-群,且G的每个真商群是Abel群,但G不是Abel群,本文确定了G的自同构群. 相似文献
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Foundations of Computational Mathematics - We calculate the automorphism group of certain Enriques surfaces. The Enriques surfaces that we investigate include very general n-nodal Enriques surfaces... 相似文献
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Mathematical Notes - 相似文献
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Jill Dietz 《代数通讯》2013,41(9):3308-3316
Let G = A ? B be a semi-direct product of two groups. We investigate conditions under which the subgroup of Aut(G) fixing A as a set is also a semi-direct product. If A is characteristic in G, then we have conditions under which Aut(G) itself is a semi-direct product. 相似文献
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Clyde H. Schoolfield Jr. 《Journal of Theoretical Probability》2002,15(3):667-693
We bound the rate of convergence to uniformity for a certain random walk on the complete monomial groups GS
n
for any group G. Specifically, we determine that
n log n+
n log (|G|–1|) steps are both necessary and sufficient for 2 distance to become small. We also determine that
n log n steps are both necessary and sufficient for total variation distance to become small. These results provide rates of convergence for random walks on a number of groups of interest: the hyperoctahedral group 2S
n
, the generalized symmetric group
m
S
n
, and S
m
S
n
. In the special case of the hyperoctahedral group, our random walk exhibits the cutoff phenomenon. 相似文献
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M. J. Curran 《代数通讯》2013,41(1):389-397
The article considers when the direct product of two finite groups has an Abelian automorphism group. 相似文献
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V. H. Mikaelian 《Journal of Mathematical Sciences》2013,195(4):523-528
This paper is a survey of our recent results concerning metabelian varieties, and more specifically, varieties generated by wreath products of Abelian groups. We give a full classification of cases where sets of wreath products of Abelian groups $ \mathfrak{X} $ Wr $ \mathfrak{Y} $ = { X Wr Y | X ∈ $ \mathfrak{X} $ , Y ∈ $ \mathfrak{Y} $ } and $ \mathfrak{X} $ wr $ \mathfrak{Y} $ = {X wr Y | X ∈ $ \mathfrak{X} $ , Y ∈ $ \mathfrak{Y} $ } generate the product variety $ \mathfrak{X} $ var ( $ \mathfrak{Y} $ ). 相似文献
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A. Dyubina 《Journal of Mathematical Sciences》2001,107(5):4166-4171
The paper analyzes the entropy and the normalized drift of the wreath product of finitely generated groups. Examples of groups of zero entropy are given. Bibliography: 4 titles. 相似文献
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确定图和各种组合结构的自同构群历来是组合数学中重要且困难的问题.利用图的基本理论和置换群的一些初等结果对全体凸正多胞体的自同构群给出一个新的刻画. 相似文献
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Adam Woryna 《代数通讯》2013,41(3):1354-1361
We study profinite groups which are infinitely iterated wreath products W ∞ = …?C n 2 ?C n 1 of finite cyclic groups via combinatorial language of transducers. Namely, we provide a naturally defined automaton realization of the group W ∞ by an automaton over a changing alphabet. Our construction gives a characterization of these profinite groups as automaton groups, i.e. as groups generated by a single automaton. 相似文献