Geodesic
The unit groups of class character rings of sporadic groups. Quadratic case
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 13 (2016), pp. 38-48.

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We study the unit groups of class character rings of sporadic groups. More exactly, let $K$ be a class character ring of sporadic group. Suppose that $K$ is a subring of real quadratic field. Then we descibe unit group of $K$.
Mots-clés : sporadic group
Keywords: character, group ring, unit. 
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M. I. Molodorich. The unit groups of class character rings of sporadic groups. Quadratic case. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 13 (2016), pp. 38-48. http://geodesic.mathdoc.fr/item/SEMR_2016_13_a0/

[1] R. Zh. Aleev, “Central Elements of Integral Group Rings”, Algebra and Logic, 39:5 (2000), 293–300 | DOI | MR | Zbl

[2] R. Zh. Aleev, “Higman numbers of finite groups”, Siberian Advances of Mathematics, 11:2 (2001), 1–24 | MR | Zbl

[3] Z. I. Borevich, I. R. Shafarevich, Teoriya chisel, 3-e izd., Nauka, M., 1985 | MR | Zbl

[4] M. I. Molodorich, “The class character rings of sporadic groups”, Siberian Electronic Mathematical Reports, 11 (2014), 878–886 | Zbl

[5] GAP — Groups, Algorithms and Programming. Ver. 4.5.6, , The GAP Group, 2012 http://www.gap-system.org

[6] https://github.com/Molodorich/UnitInQuadraticField