Results 251 to 260 of about 674,764 (293)

Characterization of automorphism groups of sporadic simple groups

Frontiers of Mathematics in China, 2012
It is proved that all automorphism groups of the sporadic simple groups are characterized by their elements orders and the group orders. This result is obtained as an easy corollary of much more general results of \textit{G. Chen} [Algebra Colloq. 3, No. 1, 49-58 (1996; Zbl 0845.20011)], \textit{B. Khosravi} [Arch. Math., Brno 45, No.
Shen, Hong, Cao, Hongping, Chen, Guiyun
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Designs and codes from fixed points of elements of Janko simple group J 1

, 2021
We previously have developed two methods for constructing codes and designs from finite groups (mostly simple finite groups). In a recent paper we introduced a new method (Method 3) for constructing codes and designs from fixed points of elements of ...
J. Moori
semanticscholar   +1 more source

A new characterization of the sporadic simple group B

International Journal of Algebra
This paper investigates a novel characterization method for the sporadic simple group $B$ (Baby Monster Group). Using the combination of the order component set $OC(G)$ of a finite group and the set $\pi_{p_m}(G)$ of the orders of centralizers of ...
Lin Lan, Xiaobo Wen
semanticscholar   +1 more source

Sporadic Simple Groups

2002
In this brief chapter we examine the final possibility left open. That is that \( \overline {E_\beta } /Z(\overline {E_\beta } ) \)is a sporadic simple group.
Christopher Parker, Peter Rowley
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Rigid Local Systems and Sporadic Simple Groups

Memoirs of the American Mathematical Society
We continue the program set up in [Geom. Funct. Anal. 31 (2021), no. 3, 562–662] to study the monodromy groups of hypergeometric and Kloosterman sheaves.
Nicholas M. Katz, Antonio Rojas-León, P. Tiep   +2 more
semanticscholar   +1 more source

Factorizations of the sporadic simple groups

Archiv der Mathematik, 1986
Let G be one of the 26 (presently known) sporadic finite simple groups. We assume that all simple subgroups of G are known groups, and prove the following result. Theorem. Let \(G=AB\) where A, B are proper non-Abelian simple subgroups of G. Then one of the following holds: (1) \(G=M_{12}\), \(A\cong A_ 5\), \(L_ 2(11)\), or \(M_{11}\), \(B\cong M_{11};
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Conjugacy classes in sporadic simple groups

Communications in Algebra, 2000
We obtain efficient programs for obtaining representatives of all the conjugacy classes of all the sporadic simple groups except the Monster and the Baby Monster.
Ibrahim A.I. Suleiman, Peter G. Walsh, Robert A. Wilson   +2 more
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Cohomology of Sporadic Simple Groups

1994
In this chapter we will describe progress towards understanding the cohomology of the sporadic simple groups. Briefly we recall that from the classification of finite simple groups, [Gor], it was shown that there exist 26 simple groups not belonging to infinite families (i. e.
Alejandro Adem, R. James Milgram
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ON THOMPSON'S CONJECTURE FOR ALMOST SPORADIC SIMPLE GROUPS

Journal of Algebra and Its Applications, 2013
Let G be a non-abelian group and N(G) be the set of conjugacy class sizes of G. In 1980s, Thompson posed the following conjecture: if M is a finite non-abelian simple group, G is a finite group with Z(G) = 1 and N(G) = N(M), then M ≅ G. Here, we prove Thompson's conjecture holds for all almost sporadic simple groups.
Wang, Lingli, Shi, Wujie
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Some Chamber Systems Belonging to Sporadic Simple Groups

Proceedings of the London Mathematical Society, 1992
In this interesting paper certain chamber systems are studied in detail. Most of the various types of chamber systems occurring in the theorem are realized in sporadic simple groups. The authors remark, that -- in addition -- to the classification of geometries and chamber systems, their paper would also be a contribution to the new classification of ...
Stroth, G., Wong, S. K.
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