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Synergistic Effects of MTHFR, MTRR, and MTR Gene Variants on Serum Folate Levels and Cognitive Function in Chinese Preschoolers: A Cross-Sectional Study. [PDF]
Ou L +8 more
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Adaptive functioning and relationship to visual behavior in children with cerebral/cortical visual impairment. [PDF]
Nguyen R +3 more
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Finite Groups with Weakly Subnormal and Partially Subnormal Subgroups
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Alexander N Skiba, Hu B, Skiba A N
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GROUPS WITH SUBNORMAL NORMALIZERS OF SUBNORMAL SUBGROUPS
Bulletin of the Australian Mathematical Society, 2012AbstractWe consider the class of solvable groups in which all subnormal subgroups have subnormal normalizers, a class containing many well-known classes of solvable groups. Groups of this class have Fitting length three at most; some other information connected with the Fitting series is given.
Beidleman, J. C., Heineken, H.
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Subnormality in the join of two subgroups
Journal of Group Theory, 2004Let \(G=\langle U,V\rangle\) be a group generated by two subgroups \(U\) and \(V\), and let \(H\) be a subgroup of \(U\cap V\) which is subnormal in both \(U\) and \(V\). It is well known that \(H\) need not be subnormal in \(G\), even in the case of finite groups.
CASOLO, CARLO, U. Dardano
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Inductive sources and subnormal subgroups
Archiv der Mathematik, 2004By a character pair in a finite group \(G\) is meant a pair \((H,\theta)\), where \(H\leq G\) and \(\theta\in\text{Irr}(H)\). The group \(G\) acts on the set of character pairs by \((H,\theta)^g=(H^g,\theta^g)\), where \(g\in G\). The character \(\theta^g\) of \(H^g\) is defined by the formula \(\theta^g(h^g)=\theta(h)\) for \(h\in H\).
Isaacs, I. M., Lewis, Mark L.
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On weakly subnormal subgroups which are not subnormal
Archiv der Mathematik, 1987A subgroup H of a group G is said to be n-step weakly subnormal in G (written \(H\leq ^ nG)\), for some integer \(n\geq 0\), if there are subsets \(S_ i\) of G such that \(H=S_ 0\subseteq S_ 1\subseteq...\subseteq S_ n=G\) with \(u^{-1}Hu\subseteq S_ i\) for all \(u\in S_{i+1}\), \(0\leq i\leq n-1\). Subnormal subgroups are clearly weakly subnormal and
Maruo, O., Stonehewer, S. E.
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On subnormal subgroups of linear groups
Siberian Mathematical Journal, 2008Summary: We describe the subnormal subgroups of 2-dimensional linear groups over local and full rings in which 2 is invertible, as well as the subnormal subgroups of symplectic groups over local rings in which 2 is invertible.
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On cofactors of subnormal subgroups
Journal of Algebra and Its Applications, 2016For a soluble finite group [Formula: see text] and a prime [Formula: see text] we let [Formula: see text], [Formula: see text]. We obtain upper bounds for the rank, the nilpotent length, the derived length, and the [Formula: see text]-length of a finite soluble group [Formula: see text] in terms of [Formula: see text] and [Formula: see text].
Monakhov, Victor, Sokhor, Irina
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