Results 41 to 50 of about 192,416 (257)
Zoology of Atlas-Groups: Dessins D’enfants, Finite Geometries and Quantum Commutation
Mathematics, 2017 Every finite simple group P can be generated by two of its elements. Pairs of generators for P are available in the Atlas of finite group representations as (not necessarily minimal) permutation representations P .
Michel Planat, Hishamuddin Zainuddin
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Moonshine, superconformal symmetry, and quantum error correction
Journal of High Energy Physics, 2020 Special conformal field theories can have symmetry groups which are interesting sporadic finite simple groups. Famous examples include the Monster symmetry group of a c = 24 two-dimensional conformal field theory (CFT) constructed by Frenkel, Lepowsky ...
Jeffrey A. Harvey, Gregory W. Moore
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Ultrastructural characteristics of primary renal epithelial tumours with granular oncocytic cytoplasm [PDF]
Vojnosanitetski Pregled, 2019 Background/Aim. Ultrastructural analysis of tumours has shown many common characteristics of certain neoplasms, as well as their specificities. Primary renal epithelial tumours with granular oncocytic cytoplasm is a very heterogeneous group in their ...
Trivunić-Dajko Sandra +4 more
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A PERFECT GROUP OF ORDER 8,315,553,613,086,720,000 AND THE SPORADIC SIMPLE GROUPS [PDF]
Proceedings of the National Academy of Sciences, 1968 openaire +5 more sources
Introduction to Sporadic Groups
Symmetry, Integrability and Geometry: Methods and Applications, 2011 This is an introduction to finite simple groups, in particular sporadic groups, intended for physicists. After a short review of group theory, we enumerate the 1+1+16=18 families of finite simple groups, as an introduction to the sporadic groups.
Luis J. Boya
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The exact spread of M23 is 8064 [PDF]
International Journal of Group Theory, 2012 Let $G$ be a finite group. We say that $G$ has emph{spread} r if for any set of distinct non-trivial elements of $G$ $X:={x_1,ldots, x_r}subset G^{#}$ there exists an element $yin G$ with the property that $langle x_i,yrangle=G$ for every $1leq ileq r ...
B. Fairbairn
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Finite groups whose coprime graph is split, threshold, chordal, or a cograph [PDF]
Proceedings of the Estonian Academy of SciencesGiven a finite group G, the coprime graph of G, denoted by Î(G), is defined as an undirected graph with the vertex set G, and for distinct x, y â G, x is adjacent to y if and only if (o(x), o(y)) = 1, where o(x) and o(y) are the orders of x and y ...
Jin Chen, Shixun Lin, Xuanlong Ma
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Pairwise generating and covering sporadic simple groups
Journal of Algebra, 2010 Let \(G\) be a non-cyclic finite group that can be generated by two elements. A subset \(S\) of \(G\) is said to be a pairwise generating set for \(G\) if every distinct pair of elements in \(S\) generates \(G\). The maximal size of a pairwise generating set for \(G\) is denoted by \(\omega(G)\).
Holmes, Petra E., Maróti, Attila
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Generation by Conjugate Elements of Finite Almost Simple Groups With a Sporadic Socle
Известия Иркутского государственного университета: Серия "Математика"We study the minimum number of elements in the conjugacy class of an automorphism of a sporadic simple group that generate a subgroup containing all inner automorphisms.
D. O. Revin, A. V. Zavarnitsine
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On a group of the form $2^{11}:M_{24}$ [PDF]
AUT Journal of Mathematics and ComputingThe Conway group $Co_{1}$ is one of the $26$ sporadic simple groups. It is the largest of the three Conway groups with order $4157776806543360000=2^{21}.3^9.5^4.7^2.11.13.23$ and has $22$ conjugacy classes of maximal subgroups.
Vasco Mugala +2 more
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