Results 21 to 30 of about 192,416 (257)
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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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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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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Endotrivial modules for the sporadic simple groups and their covers [PDF]
, 2015 In a step towards the classification of endotrivial modules for quasi-simple groups, we investigate endotrivial modules for the sporadic simple groups and their covers.
Lassueur, Caroline, Mazza, Nadia
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Management of Chemical Terrorism and Chemical Disasters
International Journal of Disaster Management, 2021 Though the possibility of terrorist groups obtaining chemical weapons and inflicting mass destruction is relatively low, the relevance of chemical agents remains high since the use of such chemical agents in causing potentially dangerous consequences ...
Kannan Gajendran Balachandar
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New upper bounds on the spreads of the sporadic simple groups [PDF]
, 2012 We give improved upper bounds on the exact spreads of many of the larger sporadic simple groups, in some cases improving on the best known upper bound by several orders of ...
Fairbairn, Ben
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Mock Modular Mathieu Moonshine Modules [PDF]
, 2015 We construct super vertex operator algebras which lead to modules for moonshine relations connecting the four smaller sporadic simple Mathieu groups with distinguished mock modular forms.
Cheng, Miranda C. N. +5 more
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Semi-Presentations for the Sporadic Simple Groups [PDF]
Experimental Mathematics, 2005 A semi-presentation for a group G is a set of relations which characterises a set of generators of G up to automorphism. We discuss some techniques for finding semi-presentations and illustrate them by exhibiting semi-presentations on standard generators for the 26 sporadic simple groups and their automorphism groups.
Nickerson, S. J., Wilson, R. A.
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Some Exceptional Beauville Structures [PDF]
, 2011 We first show that every quasisimple sporadic group possesses an unmixed strongly real Beauville structure aside from the Mathieu groups M11 and M23 (and possibly 2B and M).
Fairbairn, Ben
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Involutions in the Automorphism Groups of Small Sporadic Simple Groups [PDF]
Algebra, 2015 For each of fifteen of the sporadic finite simple groups we determine the suborbits of its automorphism group in its conjugation action upon its involutions. Representatives are obtained as words in standard generators.
Bates, Chris +2 more
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