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The class character rings of sporadic groups

机译:零星群体的阶级角色环

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摘要

The class character rings of sporadic groups have beenfound. For that we analysed character tables of sporadic groups fromGAP. Also we determined those class character rings, which is trivialwith respect to multiplication (class character ring is called trivial withrespect to multiplication if it is ring of integers or subring of imaginaryquadratic field). These results are initial steps towards description ofcentral unit group of integral group rings of sporadic groups.
机译:已经发现零星群体的阶级角色环。为此,我们分析了来自GAP的零星群体的字符表。我们还确定了那些相对于乘积而言微不足道的类字符环(如果类整数环是整数环或虚二次域的子环,那么就乘法而言,其称为微不足道)。这些结果是迈向描述零星基团的整体基环的中心单元群的初步步骤。

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