Results 71 to 80 of about 1,511,588 (309)
Abelian supplements in almost simple groups
Forum of Mathematics, SigmaLet G be an almost simple group with socle $G_0$ . In this paper we prove that whenever $G/G_0$ is abelian, then there exists an abelian subgroup A of G such that $G=AG_0$ .
Mauro Costantini +2 more
doaj +1 more source
On the number of connected components of divisibility graph for certain simple groups [PDF]
Transactions on Combinatorics, 2016 The divisibility graph D(G) D(G) for a finite group G G is a graph with vertex set cs(G)∖{1} cs(G)∖{1} where cs(G) cs(G) is the set of conjugacy class sizes of G G. Two vertices a a and b b are adjacent whenever a a divides b b or b b divides a a.
Adeleh Abdolghafourian +1 more
doaj
Quantitative characterization of finite simple groups: a complement [PDF]
International Journal of Group TheoryIn this paper, we summarize the research on the characterization of finite simple groups and the study of finite groups based on their ``set of element orders" and ``two orders" (the order of the group and the set of element orders). We also discuss some
Wujie Shi
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
On base sizes for symmetric groups [PDF]
, 2011 A base of a permutation group G on a set is a subset B of such that the pointwise stabilizer of B in G is trivial. The base size of G, denoted by b(G), is the minimal cardinality of a base.
Guralnick, Robert M. +7 more
core +1 more source
On derangements in simple permutation groups
Forum of Mathematics, SigmaLet $G \leqslant \mathrm {Sym}(\Omega )$ be a finite transitive permutation group and recall that an element in G is a derangement if it has no fixed points on $\Omega $ . Let $\Delta (G)$ be the set of derangements in G and define
Timothy Burness, Marco Fusari
doaj +1 more source
FEBS Letters, EarlyView.Embryo‐like structures (stembryos) are an innovative tool, but they are hindered by experimental variability and limited developmental potential. DNA methylation is crucial for mammalian development, but its status in stembryo models is poorly characterized.
Sara Canil +4 more
wiley +1 more source
Coprime invariable generation and minimal-exponent groups [PDF]
, 2015 Colva Roney-Dougal acknowledges the support of EPSRC grant EP/I03582X/1.A finite group G is coprimely invariably generated if there exists a set of generators {g1,. .,gu} of G with the property that the orders |g1|,.
Lucchini, Andrea +4 more
core +1 more source
A REFINED WARING PROBLEM FOR FINITE SIMPLE GROUPS
Forum of Mathematics, Sigma, 2015 Let $w_{1}$ and $w_{2}$ be nontrivial words in free groups $F_{n_{1}}$ and $F_{n_{2}}$, respectively. We prove that, for all sufficiently large finite nonabelian simple groups $G$, there exist subsets $C_{1}\subseteq w_{1}(G)$ and $C_{2}\subseteq w_{2}(G)
MICHAEL LARSEN, PHAM HUU TIEP
doaj +1 more source
FEBS Letters, EarlyView.The physical dimensions and shape of bacterial cells define the surface area available to acquire nutrients and the volume available for synthesizing proteins and DNA. Here, we use computational systems biology to decode the importance of cell geometry as a major determinant of prokaryotic phenotype, including growth rate and metabolic efficiency. This
Ross P. Carlson +6 more
wiley +1 more source