Janko groups
The Janko groups![]()
denoted by , and are four of the 26 sporadic groups. They were discovered by . Janko in 1966 and published in the article ”A new finite simple group with abelian
![]()
Sylow -subgroups
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and its characterization.” (Journal of Algebra, 3, 1966, 32: 147-186).
Each of these groups have very intricate matrix representations as maps into large general linear groups
![]()
. For example, the matrix corresponding to gives a representation
of in .