Results 31 to 40 of about 5,163,657 (332)
GENERATING MAXIMAL SUBGROUPS OF FINITE ALMOST SIMPLE GROUPS
Forum of Mathematics, Sigma, 2020 For a finite group $G$, let $d(G)$ denote the minimal number of elements required to generate $G$. In this paper, we prove sharp upper bounds on $d(H)$ whenever $H$ is a maximal subgroup of a finite almost simple group.
ANDREA LUCCHINI +2 more
doaj +1 more source
Journal of Algebra, 2001 A finite simple group \(G\) is called simple \(K_n\)-group if the order of \(G\) has exactly \(n\) distinct prime factors. It is well known that the number of simple \(K_3\)-groups is eight [\textit{M. Herzog}, J. Algebra 10, 383-388 (1968; Zbl 0167.29101)].
Bugeaud, Yann +2 more
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Permutation groups, simple groups, and sieve methods [PDF]
Israel Journal of Mathematics, 2005 Let \(I\) be the set of indices of non-trivial subgroups of finite non-abelian simple groups except that of the alternating group on \(n-1\) letters in the alternating group in \(n\) letters. In the paper under review for any real number \(x>1\) it is shown that the number of integers \(n\) in \(I\) not exceeding \(x\) is ~\(hx/\log(x)\) for some given
Heath-Brown, D, Praeger, C, Shalev, A
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A new characterization of Janko simple groups
AIMS MathematicsIn this paper, we studied the influence of centralizers on the structure of groups, and demonstrated that Janko simple groups can be uniquely determined by two crucial quantitative properties: its even-order components of the group and the set $ \pi_{p_m}
Zhangjia Han, Jiang Hu , Dongyang He
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On almost recognizability by spectrum of simple classical groups [PDF]
International Journal of Group Theory, 2017 The set of element orders of a finite group $G$ is called the {em spectrum}. Groups with coinciding spectra are said to be {em isospectral}. It is known that if $G$ has a nontrivial normal soluble subgroup then there exist infinitely many pairwise ...
Alexey Staroletov
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Normalizer property of finite groups with almost simple subgroups
Electronic Research Archive, 2022 In this paper, we prove that all Coleman automorphisms of extension of an almost simple group by an abelian group or a simple group are inner. Using our methods we also show that the Coleman automorphisms of 2-power order of an odd order group by an ...
Jingjing Hai , Xian Ling
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Irreducible subgroups of simple algebraic groups - a survey [PDF]
, 2018 Let $G$ be a simple linear algebraic group over an algebraically closed field $K$ of characteristic $p \geqslant 0$, let $H$ be a proper closed subgroup of $G$ and let $V$ be a nontrivial finite dimensional irreducible rational $KG$-module. We say that $(
Burness +10 more
core +3 more sources
Pediatric Blood &Cancer, EarlyView.ABSTRACT Purpose Metabolic syndrome (MetS) is a common complication in survivors of childhood acute lymphoblastic and myeloid leukemia (AL), and a major risk factor for premature cardiovascular disease, type‐2‐diabetes, and metabolic dysfunction‐associated steatotic liver disease (MASLD).
Visentin Sandrine +10 more
wiley +1 more source
Strong reality of finite simple groups
, 2010 The classification of finite simple strongly real groups is complete. It is easy to see that strong reality for every nonabelian finite simple group is equivalent to the fact that each element can be written as a product of two involutions.
Gal't, A. A., Vdovin, E. P.
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Ongoing evidence indicates increased risk of sarcopenic obesity among children and young people (CYP) with acute lymphoblastic leukemia (ALL), often beginning early in treatment, persisting into survivorship. This review evaluates current literature on body composition in CYP with ALL during and after treatment.
Lina A. Zahed +5 more
wiley +1 more source