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Groups critical with respect to the spectra of alternating and sporadic groups

机译:关于交替和零星基团光谱的关键基团

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摘要

The spectrum of a finite group is the set of its element orders. A finite group G is critical with respect to a subset omega of natural numbers, if omega is equal to the spectrum of G and not equal to the spectrum of any proper section of G. We give full description of the finite groups critical with respect to the spectrum of the alternating group of degree 10 and the second Janko group.
机译:有限群的频谱是其元素阶数的集合。如果ω等于G的谱且不等于G的任何适当部分的谱,则有限群G对于自然数子集ω是至关重要的。 10度交替组和第二个Janko组的光谱。

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