Geodesic
The class character rings of sporadic groups
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 11 (2014), pp. 878-886

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The class character rings of sporadic groups have been found. For that we analysed character tables of sporadic groups from GAP. Also we determined those class character rings, which is trivial with respect to multiplication (class character ring is called trivial with respect to multiplication if it is ring of integers or subring of imaginary quadratic field). These results are initial steps towards description of central unit group of integral group rings of sporadic groups.
Mots-clés : sporadic group
Keywords: character, group rings. 
@article{SEMR_2014_11_a26,
     author = {M. I. Molodorich},
     title = {The class character rings of sporadic groups},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {878--886},
     publisher = {mathdoc},
     volume = {11},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2014_11_a26/}
}
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M. I. Molodorich. The class character rings of sporadic groups. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 11 (2014), pp. 878-886. http://geodesic.mathdoc.fr/item/SEMR_2014_11_a26/