Results 131 to 140 of about 6,208,817 (342)

The exact spread of M23 is 8064 [PDF]

open access: yesInternational Journal of Group Theory, 2012
Let $G$ be a finite group. We say that $G$ has emph{spread} r if for any set of distinct non-trivial elements of $G$ $X:={x_1,ldots, x_r}subset G^{#}$ there exists an element $yin G$ with the property that $langle x_i,yrangle=G$ for every $1leq ileq r ...
B. Fairbairn
doaj  

Periodic groups saturated with finite simple groups of lie type rank 1 [PDF]

open access: yesarXiv, 2017
In the Kourovka notebook the following question is posed 14.101: Is it true that a periodic group saturated with finite simple groups of Lie type whose ranks are bounded in the aggregate, is itself a simple group of Lie type? In this paper we give a partial answer to this question for periodic groups saturated by finite simple groups of Lie type ...
arxiv  

Normal $2$-coverings of the finite simple groups and their generalizations [PDF]

open access: yesarXiv, 2022
Given a finite group $G$, we say that $G$ has weak normal covering number $\gamma_w(G)$ if $\gamma_w(G)$ is the smallest integer with $G$ admitting proper subgroups $H_1,\ldots,H_{\gamma_w(G)}$ such that each element of $G$ has a conjugate in $H_i$, for some $i\in \{1,\ldots,\gamma_w(G)\}$, via an element in the automorphism group of $G$.
arxiv  

Circulating tumor cells: advancing personalized therapy in small cell lung cancer patients

open access: yesMolecular Oncology, EarlyView.
Small cell lung cancer (SCLC) is an aggressive form of lung cancer that spreads rapidly to secondary sites such as the brain and liver. Cancer cells circulating in the blood, “circulating tumor cells” (CTCs), have demonstrated prognostic value in SCLC, and evaluating biomarkers on CTCs could guide treatment decisions such as for PARP inhibitors ...
Prajwol Shrestha   +6 more
wiley   +1 more source

Combined spatially resolved metabolomics and spatial transcriptomics reveal the mechanism of RACK1‐mediated fatty acid synthesis

open access: yesMolecular Oncology, EarlyView.
The authors analyzed the spatial distributions of gene and metabolite profiles in cervical cancer through spatial transcriptomic and spatially resolved metabolomic techniques. Pivotal genes and metabolites within these cases were then identified and validated.
Lixiu Xu   +3 more
wiley   +1 more source

Permutation groups, simple groups, and sieve methods [PDF]

open access: yesIsrael Journal of Mathematics, 2005
We show that the number of integersn≤x which occur as indices of subgroups of nonabelian finite simple groups, excluding that ofAn−1 inAn, is ∼hx/logx, for some given constanth. This might be regarded as a noncommutative analogue of the Prime Number Theorem (which counts indicesn≤x of subgroups of abelian simple groups).
Heath-Brown, D. R.   +2 more
openaire   +4 more sources

Can simple voting rules approximate the group AHP?

open access: yesExamples and Counterexamples, 2022
We analyze by means of simulations whether simple voting rules can approximate a group priority obtained by a standard aggregation method used in the group Analytic Hierarchy Process (AHP).
Ryohei Matsumura, Yasuo Sasaki
doaj  

SKA1 promotes oncogenic properties in oral dysplasia and oral squamous cell carcinoma, and augments resistance to radiotherapy

open access: yesMolecular Oncology, EarlyView.
The mitosis‐related gene SKA1 was among 629 genes consistently dysregulated in OSCC across nine public gene expression datasets. In OSCC cell lines, SKA1 promoted proliferation and migration, enhanced radioresistance, and reduced radiation‐induced senescence.
Alexander Michael Grandits   +7 more
wiley   +1 more source

Recognition of the symplectic simple group $ PSp_4(p) $ by the order and degree prime-power graph

open access: yesAIMS Mathematics
Let $ G $ be a finite group, $ \operatorname{cd}(G) $ the set of all irreducible character degrees of $ G $, and $ \rho(G) $ the set of all prime divisors of integers in $ \operatorname{cd}(G) $. For a prime $ p $ and a positive integer $ n $, let $ n_p $
Chao Qin   +3 more
doaj   +1 more source

Torsion units in integral group rings of Janko simple groups

open access: yes, 2010
Using the Luthar--Passi method, we investigate the classical Zassenhaus conjecture for the normalized unit group of integral group rings of Janko sporadic simple groups. As a consequence, we obtain that the Gruenberg-Kegel graph of the Janko groups $J_1$,
Bovdi, V. A.   +2 more
core   +4 more sources

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