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A characterization theorem for sporadic simple groups

โœ Scribed by Zhangjia Han; Guiyun Chen; Xiuyun Guo

Publisher
SP MAIK Nauka/Interperiodica
Year
2008
Tongue
English
Weight
170 KB
Volume
49
Category
Article
ISSN
0037-4466

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In recent years an increasing amount of our knowledge about finite groups, and especially the sporadic simple groups, has been obtained by computer calculations. This has many advantages over more traditional methods, especially speed and accuracy, and problems can be solved that are out of reach of

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The McKay conjecture states that the number of irreducible complex characters of a group G that have degree prime to p is equal to the same number for the Sylow p-normalizer in G. We verify this conjecture for the 26 sporadic simple groups.