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Hasan, Zahid and Lim, Bronson 2017. Symmetric generation of M22. Communications in Algebra, Vol. 45, Issue. 10, p. 4257.
Taormina, A. and Wendland, K. 2013. The overarching finite symmetry group of Kummer surfaces in the Mathieu group M 24. Journal of High Energy Physics, Vol. 2013, Issue. 8,
Kilic, Nayil and Rowley, Peter 2012. On the maximal rank of primitive residually connected geometries for <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msub><mml:mrow><mml:mi>M</mml:mi></mml:mrow><mml:mrow><mml:mn>22</mml:mn></mml:mrow></mml:msub></mml:math>. Journal of Algebra, Vol. 362, p. 84.
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In this paper, we define M24 from scratch as the subgroup of S24 preserving a Steiner system S(5, 8, 24). The Steiner system is produced and proved to be unique and the group emerges naturally with many of its properties apparent.
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