Janko groups

The Janko groups denoted by $J_{1},J_{2},J_{3}$ , and $J_{4}$ 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 $2$ -subgroups 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 $K$ corresponding to $J_{4}$ gives a representation of $J_{4}$ in $GL_{112}(2)$ .

单词	JankoGroups
释义	Janko groups The Janko groups denoted by $J_{1},J_{2},J_{3}$ , and $J_{4}$ 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 $2$ -subgroups 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 $K$ corresponding to $J_{4}$ gives a representation of $J_{4}$ in $GL_{112}(2)$ .
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