Results 51 to 60 of about 25,178,865 (330)
Vertex operator algebras, extended $E_8$ diagram, and McKay's observation on the Monster simple group [PDF]
, 2004 We study McKay's observation on the Monster simple group, which relates the 2A-involutions of the Monster simple group to the extended E 8 diagram, using the theory of vertex operator algebras (VOAs).
C. Lam, H. Yamada, H. Yamauchi
semanticscholar +1 more source
Characterization of A5 and PSL(2,7) by sum of elements orders [PDF]
International Journal of Group Theory, 2013 Let $G$ be a finite group. We denote $psi(G)=sum_{gin G}o(g)$ where $o(g)$ denotes the order of $g in G$. Here we show that $psi(A_5)< psi(G)$ for every nonsimple group $G$ of order 60. Also we prove that $psi(PSL(2,7))groups $G$ of order 168.
Seyyed Majid Jafarian Amiri
doaj
Subgroups of prime power index in a simple group
, 1983 THEOREM 1. Let G be a nonabelian simple group with H < G and [G : H] = pa, p prime. One of the following holds. (a) G=A, and HrA,-, with n= p’, (b) G = PSL,(q) and H is the stabilizer of a line or hyperplane. Then [G: H] = (q” l)/(q 1) = p”. (Note n must
R. Guralnick
semanticscholar +1 more source
Finite simple groups as expanders [PDF]
Proceedings of the National Academy of Sciences, 2006 We prove that there exist k ∈ ℕ and 0 < ε ∈ ℝ such that every non-abelian finite simple group G , which is not a Suzuki group, has a set of k generators for which the Cayley graph Cay( G ; S ) is an ε-expander.
Kassabov, M, Lubotzky, A, Nikolov, N
openaire +3 more sources
Classifying cubic symmetric graphs of order 88p and 88p 2
Open MathematicsFor a simple graph Γ\Gamma , Γ\Gamma is said to be ss-regular, provided that the automorphism group of Γ\Gamma regularly acts on the set consisting of ss-arcs of Γ\Gamma .
Zhai Liangliang
doaj +1 more source
Renormalization group and effective potential: a simple non-perturbative approach
SciPost Physics Core, 2022 We develop a simple non-perturbative approach to the calculation of a field theory effective potential that is based on the Wilson or exact renormalization group. Our approach follows Shepard et al's idea [Phys. Rev.
Jose Gaite
doaj +1 more source
FEBS Letters, EarlyView.Fluorescent probes allow dynamic visualization of phosphoinositides in living cells (left), whereas mass spectrometry provides high‐sensitivity, isomer‐resolved quantitation (right). Their synergistic use captures complementary aspects of lipid signaling. This review illustrates how these approaches reveal the spatiotemporal regulation and quantitative
Hiroaki Kajiho +3 more
wiley +1 more source
Group gradings on finitary simple Lie algebras
, 2012 We classify, up to isomorphism, all gradings by an arbitrary abelian group on simple finitary Lie algebras of linear transformations (special linear, orthogonal and symplectic) on infinite-dimensional vector spaces over an algebraically closed field of ...
Bahturin Y. +7 more
core +1 more source
In situ molecular organization and heterogeneity of the Legionella Dot/Icm T4SS
FEBS Letters, EarlyView.We present a nearly complete in situ model of the Legionella Dot/Icm type IV secretion system, revealing its central secretion channel and identifying new components. Using cryo‐electron tomography with AI‐based modeling, our work highlights the structure, variability, and mechanism of this complex nanomachine, advancing understanding of bacterial ...
Przemysław Dutka +11 more
wiley +1 more source
Integral group ring of the McLaughlin simple group [PDF]
, 2007 We consider the Zassenhaus conjecture for the normalized unit group of the integral group ring of the McLaughlin sporadic group McL.
Bódi, Viktor, Konovalov, A. B.
core +1 more source