Results 21 to 30 of about 8,545 (246)
Subgroups of Infinite Symmetric Groups
Journal of the London Mathematical Society, 1990 Various questions are discussed on the subgroup structure of \(S:=Sym(\Omega)\), where \(\Omega\) is an infinite set. It is shown that S is not the union of a chain of size \(| \Omega |\) of proper subgroups, and results are obtained on the size of the smallest families of proper subgroups with set-theoretic union S.
Macpherson, H, Neumann, P
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Maximal subgroups of infinite symmetric groups.
Notre Dame Journal of Formal Logic, 1992 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Baumgartner, James E. +2 more
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Subgroups of small Index in infinite Symmetric Groups
Bulletin of the London Mathematical Society, 1986 Let \(\Omega\) be an infinite set having cardinality \(n:=| \Omega |\), and let \(S:=Sym(\Omega)\) be its symmetric group having then cardinality \(2^ n\). Moreover, let G be a subgroup of S and let \(S_{\{\Delta \}}\) or \(G_{\{\Delta \}}\) be the setwise stabilizer of \(\Delta\) in S or in G, respectively, for each subset \(\Delta\subseteq \Omega ...
Dixon, J, Neumann, P, Thomas, S
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The Index Problem for Infinite Symmetric Groups [PDF]
Proceedings of the American Mathematical Society, 1964 Let M be an infinite set with cardinal X, S(X, Y) = o-: ois a permutation on M such that I spt oj I d has no subgroups of index less than or equal Z. In this paper, the following generalization of these results is proven.
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Uniformization Problems and the Cofinality of the Infinite Symmetric Group
Notre Dame Journal of Formal Logic, 1994 For a group \(G\) which is not finitely generated, the cofinality of \(G\), written \(c(G)\), is defined to be the least cardinal \(\lambda\) such that \(G\) is the union of a chain of \(\lambda\) proper subgroups. For an infinite cardinal \(\kappa\), denote \(c(\text{Sym}(\kappa))\) by \(c_ \kappa\). \textit{H. D. Macpherson} and \textit{P. M. Neumann}
James D. Sharp, Simon Thomas 0001
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Diversity and complexity in neural organoids
FEBS Letters, EarlyView.Neural organoid research aims to expand genetic diversity on one side and increase tissue complexity on the other. Chimeroids integrate multiple donor genomes within single organoids. Self‐organising multi‐identity organoids, exogenous cell seeding, or enforced assembly of region‐specific organoids contribute to tissue complexity.
Ilaria Chiaradia, Madeline A. Lancaster
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Noncommutative independence in the infinite braid and symmetric group [PDF]
Banach Center Publications, 2011 This is an introductory paper about our recent merge of a noncommutative de Finetti type result with representations of the infinite braid and symmetric group which allows to derive factorization properties from symmetries. We explain some of the main ideas of this approach and work out a constructive procedure to use in applications.
Gohm, Rolf, Köstler, Claus
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FEBS Letters, EarlyView.Mitochondrial remodeling shapes neural and glial lineage progression by matching metabolic supply with demand. Elevated OXPHOS supports differentiation and myelin formation, while myelin compaction lowers mitochondrial dependence, revealing mitochondria as key drivers of developmental energy adaptation.
Sahitya Ranjan Biswas +3 more
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FEBS Letters, EarlyView.Septin 9 polybasic domains couple phosphoinositide‐rich membrane binding to centrosome positioning, Golgi organization, and microtubule acetylation to control epithelial polarity. Their loss disrupts this axis, causing centrosome mispositioning, Golgi fragmentation, reduced microtubule acetylation, and polarity inversion via upregulation of the ...
Ting ting Cai +4 more
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Molecular Oncology, EarlyView.We have established a humanized orthotopic patient‐derived xenograft (Hu‐oPDX) mouse model of high‐grade serous ovarian cancer (HGSOC) that recapitulates human tumor–immune interactions. Using combined anti‐PD‐L1/anti‐CD73 immunotherapy, we demonstrate the model's improved biological relevance and enhanced translational value for preclinical ...
Luka Tandaric +10 more
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