Janko groups

The Janko groupsMathworldPlanetmath denoted by J1,J2,J3, and J4 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 abelianMathworldPlanetmathPlanetmath Sylow 2-subgroupsMathworldPlanetmathPlanetmath and its characterization.” (Journal of Algebra, 3, 1966, 32: 147-186).

Each of these groups have very intricate matrix representationsPlanetmathPlanetmath as maps into large general linear groupsMathworldPlanetmath. For example, the matrix K corresponding to J4 gives a representationPlanetmathPlanetmath of J4 in GL112(2).

Title Janko groups
Canonical name JankoGroups
Date of creation 2013-03-22 13:59:17
Last modified on 2013-03-22 13:59:17
Owner mathcam (2727)
Last modified by mathcam (2727)
Numerical id 12
Author mathcam (2727)
Entry type Definition
Classification msc 20D08
Related topic ExamplesOfFiniteSimpleGroups
Related topic SolvablePlanetmathPlanetmath