Английская Википедия:Gorenstein–Harada theorem

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Версия от 02:23, 16 марта 2024; EducationBot (обсуждение | вклад) (Новая страница: «{{Английская Википедия/Панель перехода}} In mathematical finite group theory, the '''Gorenstein–Harada theorem''', proved by {{harvs|txt|last=Gorenstein|author1-link=Daniel Gorenstein|last2=Harada|author2-link=Koichiro Harada|year1=1973|year2=1974}} in a 464-page paper,<ref>[https://medium.com/@camirosso/abc-conjecture-the-enormity-of-math-91c773f43ba3 "Abc conjecture — The Enormity of Math"]. ''M...»)
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In mathematical finite group theory, the Gorenstein–Harada theorem, proved by Шаблон:Harvs in a 464-page paper,[1] classifies the simple finite groups of sectional 2-rank at most 4. It is part of the classification of finite simple groups.[2]

Finite simple groups of section 2 that rank at least 5, have Sylow 2-subgroups with a self-centralizing normal subgroup of rank at least 3, which implies that they have to be of either component type or of characteristic 2 type. Therefore, the Gorenstein–Harada theorem splits the problem of classifying finite simple groups into these two sub-cases.

References

Шаблон:Reflist

Шаблон:Algebra-stub