Upper bounds on the uniform spreads of the sporadic simple groups [PDF]
International Journal of Group Theory, 2019 A finite group $G$ has uniform spread $k$ if there exists a fixed conjugacy class $C$ of elements in $G$ with the property that for any $k$ nontrivial elements $s_1, s_2,ldots,s_k$ in $G$ there exists $yin C$ such that $G = langle s_i,yrangle$ for $
Ali Raza Rahimipour, Yousof Farzaneh
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Brou\'e's abelian defect group conjecture holds for the double cover of the Higman-Sims sporadic simple group [PDF]
, 2012 In the representation theory of finite groups, there is a well-known and important conjecture, due to Brou\'e saying that for any prime p, if a p-block A of a finite group G has an abelian defect group P, then A and its Brauer corresponding block B of ...
Shigeo Koshitani +2 more
semanticscholar +1 more source
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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Six-dimensional exceptional quotient singularities [PDF]
, 2011 We classify six-dimensional exceptional quotient singularities and show that seven-dimensional exceptional quotient singularities do not exist. Inter alia we prove that the irreducible six-dimensional projective representation of the sporadic simple Hall-
Cheltsov, Ivan, Shramov, Constantin
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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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The Existence of Triple Factorizations for Sporadic Groups of Rank 3
Моделирование и анализ информационных систем, 2015 A finite group G with proper subgroups A and B has triple factorization G = ABA if every element g of G can be represented as g = aba0 , where a and a 0 are from A and b is from B.
L. S. Kazarin +2 more
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Analysis of mutations in 17p 11.2 region in patients with Charcot-Marie-Tooth type 1 disease and patients with tomaculose neuropathy [PDF]
Srpski Arhiv za Celokupno Lekarstvo, 2002 Charcot-Marie-Tooth type 1Α disease (CMT1A) and hereditary neuropathy with liability to pressure palsies (HNPP) are common inherited disorders of the peripheral nervous system associated with duplication and deletion respectively, of the 17p11.2 segment ...
Zamurović Nataša +7 more
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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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The Brauer characters of the sporadic simple Harada-Norton group and its automorphism group in characteristics 2 and 3 [PDF]
, 2012 We determine the 2-modular and 3-modular character tables of the sporadic simple Harada-Norton group and its automorphism group.Comment: 29 ...
Hiss, Gerhard +3 more
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Sporadic simple groups and quotient singularities [PDF]
Izvestiya: Mathematics, 2013 We show that the only sporadic simple group such that some of its faithful representations or some faithful representations of its stem extensions give rise to exceptional (weakly-exceptional but not exceptional, respectively) quotient singularities is the Hall-Janko group (the Suzuki group, respectively).
Cheltsov, I. A., Shramov, C. A.
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