共查询到20条相似文献,搜索用时 15 毫秒
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Siberian Mathematical Journal - Given an arbitrary partition $ \sigma $ of the set of primes, we give some criteria for the $ \sigma $ -subnormality of a Sylow subgroup of... 相似文献
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Siberian Mathematical Journal - We prove that $ G $ is a finite $ \sigma $ -soluble group with transitive $ \sigma $ -permutability if and only if the following hold: (i) $ G $ possesses... 相似文献
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Siberian Mathematical Journal - Let $ n>0 $ and let $ \sigma=\{\sigma_{i}\mid i\in I\} $ be a partition of the set of all primes $ {��} $ . We prove that the lattice of all $ n... 相似文献
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Siberian Mathematical Journal - We complete the proof of the theorem that any nilpotent subgroups $ A $ , $ B $ , and $ C $ of a finite group $ G $ satisfy... 相似文献
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假设$\tau$是一个子群算子, $H$是有限群$G$的一个$p$-子群. 令 $\bar{G}=G/H_{G}$且$\bar{H}=H/H_{G}$, 如果$\bar{G}$有一个次正规子群$\bar{T}$ 和一个包含于$\bar{H}$ 的$\tau$-子群$\bar{S}$满足$\bar{G}=\bar{H}\bar{T}$且$\bar{H}\cap\bar{T}\leq \bar{S}\Phi(\bar{H})$, 就称$H$是$G$的一个$\Phi$-$\tau$- 可补子群. 文章通过讨论群$G$的准素数子群的$\Phi$-$\tau$-可补性给出了超循环嵌入和$p$-幂零性的一些新的特征. 相似文献
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对于两个不相同的正整数$m$和$n$, 如果满足$\sigma(m)=\sigma(n)=m+n$, 则称之为一对亲和数, 这里$\sigma(n)=\sum_{d|n}d$.本文给出了$f(x,y)=x^{2^{x}}+y^{2^{x}}(x>y\geq{1},(x,y)=1)$不与任何正整数构成亲和数对的结论, 这里$x$,$y$具有不同的奇偶性, 即, 关于$z$的方程$\sigma(f(x,y))=\sigma(z)=f(x,y)+z$不存在正整数解. 相似文献
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Summary. We present a result concerning the periodic structure of certain maps on In = [0,1]n which are called s \sigma -permutation maps. This structure resembles that given by the xarkovskii's ordering for continuous interval maps. 相似文献
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Siberian Mathematical Journal - We give an example of a series of finite $ D_{\pi} $ -groups where for each group $ G $ in the series and its $ \pi $ -Hall subgroup $ H $ , the inequality $ H\cap... 相似文献
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Let k ≥ 2 be an integer, and let σ(n) denote the sum of the positive divisors of an integer n. We call n a quasi-multiperfect number if σ(n) = kn + 1. In this paper, we give some necessary properties of them. 相似文献
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Siberian Mathematical Journal - Given $ r\in\{2,3,5\} $ , we study the structure of finite non- $ r $ -decomposable groups whose every non- $ r $ -decomposable maximal subgroup is a $... 相似文献
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Let k ≥ 2 be an integer, and let a(n) denote the sum of the positive divisors of an integer n. We call n a quasi-multiperfect number if a(n) = kn + 1. In this paper, we give some necessary properties of quasi-multiperfect numbers with four different prime divisors. 相似文献
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Siberian Mathematical Journal - We study the structure of nonsolvable finite groups whose every nonsolvable maximal subgroup is $ \Phi $ -simple. 相似文献
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用$\alpha $和 $\eta $关于第一分量是仿射的且是斜对称的条件代替条件C, 得到如下结论: (1)如果一个函数的梯度是(严格)$\alpha \eta $-伪单调的,则该函数是(严格)伪$\alpha \eta $-不变凸的; (2)如果一个函数的梯度是拟$\alpha \eta $-单调的,则该函数是拟$\alpha \eta $-不变凸的. 相似文献
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Yuemei Mao & Xiaojian Ma 《数学研究》2016,49(1):50-56
Let $\mathfrak{F}$ be a non-empty formation of groups, $\tau$ a subgroup functor and $H$ a $p$-subgroup of a finite group $G.$ Let $\overline{G}=G/H_G$ and $\overline{H} =H/H_G.$ We say that $H$ is $\mathfrak{F}_\tau$-$s$-supplemented in $G$ if for some subgroup $\overline{T}$ and some $\tau$-subgroup $\overline{S}$ of $\overline{G}$ contained
in $\overline{H},$ $\overline{H}\overline{T}$ is subnormal in $\overline{G}$ and $\overline{H} ∩ \overline{T} ≤ \overline{S}Z_{\mathfrak{F}}(\overline{G}).$ In this paper, we investigate the
influence of $\mathfrak{F}_\tau$-$s$-supplemented subgroups on the structure of finite groups. Some
new characterizations about solubility of finite groups are obtained. 相似文献
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本文给出四阶整数辛群中扭元的全部共轭等价类.总共有55个不同的扭元等价类,它们的阶数分别是2, 3, 4, 5, 6, 8, 10, 12.没有其它阶的扭元. 相似文献