Results 21 to 30 of about 674,764 (293)
Elliptic curves and Thompson's sporadic simple group [PDF]
Journal of Number Theory, 2020 We characterize all infinite-dimensional graded virtual modules for Thompson's sporadic simple group, whose graded traces are weight 3/2 weakly holomorphic modular forms satisfying certain special properties.
Maryam Khaqan
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On some projective triply-even binary codes invariant under the Conway group ${\rm Co}_1$ [PDF]
International Journal of Group Theory, 2022 A binary triply-even $[98280, 25, 47104]_2$ code invariant under the sporadic simple group ${\rm Co}_1$ is constructed by adjoining the all-ones vector to the faithful and absolutely irreducible 24-dimensional code of length 98280. Using the action of ${\
Bernardo Rodrigues
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ON SOME VERTEX-TRANSITIVE DISTANCE-REGULAR ANTIPODAL COVERS OF COMPLETE GRAPHS
Ural Mathematical Journal, 2022 In the present paper, we classify abelian antipodal distance-regular graphs \(\Gamma\) of diameter 3 with the following property: \((*)\) \(\Gamma\) has a transitive group of automorphisms \(\widetilde{G}\) that induces a primitive almost simple ...
Ludmila Yu. Tsiovkina
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On Efficient Presentations of the Groups PSL $(2, m)$ [PDF]
International Journal of Group Theory, 2022 We exhibit presentations of the Von Dyck groups $D(2, 3, m), \ m\ge 3$, in terms of two generators of order $m$ satisfying three relations, one of which is Artin's braid relation. By dropping the relation which fixes the order of the generators we obtain
Orlin Stoytchev
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The conjugacy class ranks of $M_{24}$ [PDF]
International Journal of Group Theory, 2017 $M_{24}$ is the largest Mathieu sporadic simple group of order $244 823 040 = 2^{10} {cdot} 3^3 {cdot} 5 {cdot} 7 {cdot} 11 {cdot} 23$ and contains all the other Mathieu sporadic simple groups as subgroups.
Zwelethemba Mpono
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On homogeneous spaces with finite anti-solvable stabilizers
Comptes Rendus. Mathématique, 2022 We say that a group is anti-solvable if all of its composition factors are non-abelian. We consider a particular family of anti-solvable finite groups containing the simple alternating groups for $n\ne 6$ and all 26 sporadic simple groups. We prove that,
Lucchini Arteche, Giancarlo
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Base sizes for sporadic simple groups [PDF]
Israel Journal of Mathematics, 2010 Let \(G\) be a permutation group acting on a set \(\Omega\). A subset of \(\Omega\) is a base for \(G\) if its pointwise stabilizer in \(G\) is trivial. The minimal size of a base for \(G\) is denoted by \(b(G)\). In the present paper, the authors determine the precise value of \(b(G)\) for every primitive almost simple sporadic group \(G\), with the ...
Burness, Timothy C. +2 more
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Cherlin’s conjecture for sporadic simple groups [PDF]
Pacific Journal of Mathematics, 2018 11 pages; to appear in Pacific Journal of ...
Dalla Volta, Francesca +2 more
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Local Fusion Graphs and Sporadic Simple Groups [PDF]
The Electronic Journal of Combinatorics, 2015 For a group $G$ with $G$-conjugacy class of involutions $X$, the local fusion graph $\mathcal{F}(G,X)$ has $X$ as its vertex set, with distinct vertices $x$ and $y$ joined by an edge if, and only if, the product $xy$ has odd order. Here we show that, with only three possible exceptions, for all pairs $(G,X)$ with $G$ a sporadic simple group or the ...
Ballantyne, John, Rowley, Peter
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On conjugacy classes of the F4 group over a field q with characteristic 2
St. Petersburg Polytechnical University Journal: Physics and Mathematics, 2022 This article continues a series of papers devoted to solving the problem by which a non-identity conjugacy class in a finite simple non-abelian group contains commuting elements. Previously, this statement was tested for sporadic, projective, alternating
Yurova Nadezhda
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