Results 51 to 60 of about 73,450 (306)
ON A GRAPH RELATED TO THE MAXIMAL SUBGROUPS OF A GROUP [PDF]
AbstractLet G be a finitely generated group. We investigate the graph ΓM(G), whose vertices are the maximal subgroups of G and where two vertices M1 and M2 are joined by an edge whenever M1∩M2≠1. We show that if G is a finite simple group then the graph ΓM(G) is connected and its diameter is 62 at most. We also show that if G is a finite group, then ΓM(
M. HERZOG +2 more
openaire +3 more sources
A note on finite groups with the indice of some maximal subgroups being primes [PDF]
The Theorem 12 in [A note on $p$-nilpotence and solvability of finite groups, J. Algebra 321 (2009) 1555--1560.] investigated the non-abelian simple groups in which some maximal subgroups have primes indices. In this note we show that this
Cui Zhang
doaj +1 more source
ABSTRACT Background Neuromyelitis optica spectrum disorder (NMOSD) is a relapsing autoimmune disease of the central nervous system. High‐dose intravenous methylprednisolone (IVMP) is the standard first‐line therapy for acute attacks, although some patients remain refractory.
Wataru Horiguchi +5 more
wiley +1 more source
Tumors contain diverse cellular states whose behavior is shaped by context‐dependent gene coordination. By comparing gene–gene relationships across biological contexts, we identify adaptive transcriptional modules that reorganize into distinct vulnerability axes.
Brian Nelson +9 more
wiley +1 more source
Pre‐analytical handling critically determines liquid biopsy performance. This study defines practical best‐practice conditions for cell‐free DNA (cfDNA) and extracellular vesicle–derived DNA (evDNA), showing how processing time, storage conditions, tube type, and plasma input volume affect DNA integrity and mutation detection.
Jonas Dohmen +11 more
wiley +1 more source
Relative scale separation in orbifolds of S 2 and S 5
In orbifold vacua containing an S q /Γ factor, we compute the relative order of scale separation, r, defined as the ratio of the eigenvalue of the lowest-lying Γ-invariant state of the scalar Laplacian on S q , to the eigenvalue of the lowest-lying state.
Dimitrios Tsimpis
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Targeted therapy was evaluated in SHH medulloblastoma using neuroepithelial stem cell (NES) and tumor‐derived NES‐like (tNES) models in 2D monolayers and 3D spheroids. PI3K, AKT, and CDK4/6 inhibitors had minimal effects in NES but markedly reduced viability and growth and induced apoptosis in tNES cells, revealing distinct therapeutic vulnerabilities.
Monika Lukoseviciute +4 more
wiley +1 more source
Theoretical Researches about u-Maximal Subgroups and Its Applications in Charactering IntuG
Let G be a finite group and u be the class of all finite supersoluble groups. A supersoluble subgroup U of G is called u-maximal in G if for any supersoluble subgroup V of G containing U, V=U.
Li Zhang, Zheng-Qun Cai
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Green’s relations for 2 × 2 matrices over linearly ordered abelian groups [PDF]
We consider semigroups of 2 Ã 2 matrices over linearly ordered abelian groups with respect to multiplication, which is defined similarly to tropical algebra. We study Greenâs relations on such semigroups.
Marilyn Kutti, Valdis Laan
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Connected algebraic subgroups of groups of birational transformations not contained in a maximal one
We prove that for each $n\ge 2$, there exist a ruled variety $X$ of dimension $n$ and a connected algebraic subgroup of $\mathrm{Bir}(X)$ which is not contained in a maximal one.
Fong, Pascal, Zikas, Sokratis
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