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Exact Factorizations of Sporadic Simple Groups

Experimental Mathematics, 2019
A group G is said to have an exact factorization if there exist proper subgroups Ai for i=1,2,…,n such that G=A1A2…An and |G|=|A1||A2|…|An|. The number n is called length of this factorization.
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Sporadic Simple Groups and Their Modules

2002
Just as with the Lie type groups we shall need some specific information about the 26 sporadic simple groups. For information about their automorphism groups, their Schur multipliers and their local subgroups we refer to the ATLAS [37] or alternatively to [64].
Christopher Parker, Peter Rowley
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2-Coverings for exceptional and sporadic simple groups

Archiv der Mathematik, 2013
It is well known that any finite group \(G\) cannot be the union of the \(G\)-conjugates of a proper subgroup. However, such a group can be the union of the \(G\)-conjugates of two proper subgroups. If \(H\) and \(K\) are proper subgroups of \(G\) such that \(G=\bigcup_{g\in G}H^g\cup\bigcup_{g\in G}K^g\), then \(G\) is called 2-coverable and the pair \
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A quantitative property of sporadic simple groups

Journal of Group Theory, 2001
Using the classification of finite simple groups the authors prove that every sporadic simple group is determined by its order and the set of indices of its maximal subgroups.
Li, Xianhua, Wang, Dianjun
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2-Designs and Codes from Simple Groups L3(q) and Higman-Sims Sporadic Simple Group HS

International Castle Meeting on Coding Theory and Applications, 2014
J. Moori, G. F. R. Radohery
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Algebras related to some sporadic simple groups

2018
This thesis was digitised by the British Library from microfilm. You can acquire a single copy of this thesis for research purposes by clicking on the padlock icon on the thesis file. Please be aware that the text in the supplied thesis pdf file may not be as clear as text in a thesis that was born digital or digitised directly from paper due to the ...
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On the cohomology of the sporadic simple group J4

Mathematical Proceedings of the Cambridge Philosophical Society, 1993
D. Green
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