Results 41 to 50 of about 58,853 (262)
On the σ-Length of Maximal Subgroups of Finite σ-Soluble Groups
Mathematics, 2020 Let σ={σi:i∈I} be a partition of the set P of all prime numbers and let G be a finite group. We say that G is σ-primary if all the prime factors of |G| belong to the same member of σ. G is said to be σ-soluble if every chief factor of G is σ-primary, and
Abd El-Rahman Heliel +2 more
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A New Maximal Subgroup of the Monster
Journal of Algebra, 2002 The article answers a longstanding open question about the existence of maximal subgroups of shape \(L_2(29):2\) in the Monster sporadic simple group \(M\). Using their computer construction of \(M\), the authors can prove that \(M\) contains exactly one conjugacy class of subgroups isomorphic to \(L_2(29)\) and that each of those groups is contained ...
Holmes, P.E., Wilson, R.A.
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Generating Finite Groups with Maximal Subgroups of Maximal Subgroups
Journal of Algebra, 1995 The author develops a theory of \(\gamma\)-triples \((G,M, H)\) where \(G\) is a finite group with proper subgroups \(H< M< G\) such that \(\langle H,g \rangle \cap M= H\) for all \(g\in G\setminus M\). He proves that in this situation the \(M\)-core \(H_M\) of \(H\) is subnormal in \(G\) and \(H/H_M\) is cyclic. If in addition \(H_G= 1\) and \(H_M< H\)
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Maximal finite subgroups and minimal classes [PDF]
L’Enseignement Mathématique, 2015 We apply Voronoi’s algorithm to compute representatives of the conjugacy classes of maximal finite subgroups of the unit group of a maximal order in some simple \mathbf Q -algebra.
Renaud Coulangeon, Gabriele Nebe
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Maximal 3-local subgroups of symmetric groups [PDF]
Songklanakarin Journal of Science and Technology (SJST), 2013 The subgroups in the set max G B, consisting of all maximal 3-local subgroups of G Sym n ( ) with respect to B,the normalizer of a Sylow 3-subgroup of G in G, is investigated.
Punnzeyar Patthanangkoor +1 more
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The maximal subgroups of the Monster
Advances in MathematicsThe classification of the maximal subgroups of the Monster $\mathbf{M}$ is a long-standing problem in finite group theory. According to the literature, the classification is complete apart from the question of whether $\mathbf{M}$ contains maximal subgroups that are almost simple with socle $\mathrm{PSL}_2(13)$.
Dietrich, Heiko +2 more
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Generators for maximal subgroups of Conway group Co1
Open Mathematics, 2019 The Conway groups are the three sporadic simple groups Co1, Co2 and Co3. There are total of 22 maximal subgroups of Co1 and generators of 6 maximal subgroups are provided in web Atlas of finite simple groups.
Yasin Faisal +3 more
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ON A GRAPH RELATED TO THE MAXIMAL SUBGROUPS OF A GROUP [PDF]
Bulletin of the Australian Mathematical Society, 2010 AbstractLet G be a finitely generated group. We investigate the graph ΓM(G), whose vertices are the maximal subgroups of G and where two vertices M1 and M2 are joined by an edge whenever M1∩M2≠1. We show that if G is a finite simple group then the graph ΓM(G) is connected and its diameter is 62 at most. We also show that if G is a finite group, then ΓM(
M. HERZOG +2 more
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Maximal subgroups of the group PSL(12, 2) [PDF]
Surveys in Mathematics and its Applications, 2011 In this paper, We will find the maximal subgroups of the group PSL(12, 2) by Aschbacher's Theorem [M. Aschbacher, Invent. Math. 1984]
Rauhi Ibrahim Elkhatib
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Immunoglobulin Depletion and Recovery Following Blinatumomab in Infants With KMT2A‐Rearranged ALL
Pediatric Blood &Cancer, EarlyView.ABSTRACT Adding blinatumomab to standard chemotherapy for infants with KMT2A‐rearranged acute B‐cell lymphoblastic leukemia (KMT2A‐r B‐ALL) improves outcomes. Although blinatumomab impairs immunoglobulin G (lgG) production, increasing infection susceptibility, IgG recovery remains poorly understood.
Miguel Vieira Martins +14 more
wiley +1 more source