Identification of miR-20a-5p as Robust Normalizer for Urine microRNA Studies in Renal Cell Carcinoma and a Profile of Dysregulated microRNAs. [PDF]
Int J Mol Sci, 2021 Oto J +10 more
europepmc +2 more sources
Self-normalizing Sylow subgroups [PDF]
Proceedings of the American Mathematical Society, 2003 Using the classification of finite simple groups we prove the following statement: Let p > 3 p>3 be a prime, Q Q a group of automorphisms of p p -power order of a finite group G G , and P P a Q Q -invariant Sylow
Guralnick, Robert M. +2 more
openaire +2 more sources
Some Neutrosophic Triplet Subgroup Properties and Homomorphism Theorems in Singular Weak Commutative Neutrosophic Extended Triplet Group [PDF]
Neutrosophic Sets and Systems, 2021 In 2018, the study of neutrosophic triplet cosets and neutrosophic triplet quotient group of a neutrosophic extended triplet group was initiated with a follow up of the establishment of fundamental homomorphism theorems for neutrosophic extended triplet ...
Temitope Gbolahan Jaiyeola +2 more
doaj +1 more source
Cherednik algebra for the normalizer
Comptes Rendus. Mathématique, 2022 Ginzburg, Guay, Opdam and Rouquier established an equivalence of categories between a quotient category of the category $\mathcal{O}$ for the rational Cherednik algebra and the category of finite dimension modules of the Hecke algebra of a complex ...
Fallet, Henry
doaj +1 more source
Low-complexity computations for nilpotent subgroup problems [PDF]
International journal of algebra and computation, 2017 We solve the following algorithmic problems using [Formula: see text] circuits, or in logspace and quasilinear time, uniformly in the class of nilpotent groups with bounded nilpotency class and rank: subgroup conjugacy, computing the normalizer and ...
J. MacDonald +2 more
semanticscholar +1 more source
Blocks with the hyperfocal subgroup Z2n×Z2n [PDF]
Journal of Algebra, 2017 In this paper, we calculate the numbers of irreducible ordinary characters and irreducible Brauer characters in a block of a finite group $G$, whose associated fusion system over a 2-subgroup $P$ of $G$ (which is a defect group of the block) has the ...
Xueqin Hu, Yuanyang Zhou
semanticscholar +1 more source
On Minimal Non-Soluble Groups, the Normalizer Condition and McLain Groups [PDF]
Advances in Group Theory and Applications, 2017 We prove that a minimal non-soluble ($MN\mathfrak{S}$ in short) Fitting $p$-group $G$ has a proper subgroup $K$ such that for every proper subgroup $R$ of $G$ containing $K$, we have $N_G(R) > R$.
Ahmet Arikan
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Normalizer, divergence type, and Patterson measure for discrete groups of the Gromov hyperbolic space [PDF]
Groups, Geometry, and Dynamics, 2015 For a non-elementary discrete isometry group $G$ of divergence type acting on a proper geodesic $\delta$-hyperbolic space, we prove that its Patterson measure is quasi-invariant under the normalizer of $G$.
Katsuhiko Matsuzaki +2 more
semanticscholar +1 more source
A modular idealizer chain and unrefinability of partitions with repeated parts [PDF]
Israel Journal of Mathematics, 2023 Recently Aragona et al. have introduced a chain of normalizers in a Sylow 2-subgroup of Sym(2^ n ), starting from an elementary abelian regular subgroup.
R. Aragona, Roberto Civino, N. Gavioli
semanticscholar +1 more source