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Janko Group J4


The Janko group J_4 is the largest of the four Janko groups. It is a sporadic group and simple group of group order 86775571046077562880=2^(21)·3^3·5·7·11^3·23·29·31·37·43 (Conway et al. 1985).

The group is implemented in the Wolfram Language as JankoGroupJ4[].


See also

Janko Groups, Simple Group, Sporadic Group

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References

Conway, J. H.; Curtis, R. T.; Norton, S. P.; Parker, R. A.; and Wilson, R. A. Atlas of Finite Groups: Maximal Subgroups and Ordinary Characters for Simple Groups. Oxford, England: Clarendon Press, 1985.Ivanov, A. A. and Meierfrankenfeld, U. "A Computer-Free Construction of J_4." J. Algebra 219, 113-172, 1999.Wilson, R. A. "ATLAS: Janko Group J_4." https://brauer.maths.qmul.ac.uk/Atlas/v3/spor/J4/.

Referenced on Wolfram|Alpha

Janko Group J4

Cite this as:

Weisstein, Eric W. "Janko Group J4." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/JankoGroupJ4.html

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