Groups of p-rank 2 containing an isolated element of order p
نویسندگان
چکیده
Abstract Let p be an odd prime and G a finite group with $$O_{p'}(G)=1$$ O p ′ ( G ) = 1 of -rank at most 2 that contains isolated element order . If $$x\notin Z(G)$$ x ∉ Z , we show $$F^*(G)$$ F ∗ is simple describe the structure Sylow -subgroup P as well fusion system $$\mathcal F_P(F^*(G))$$ P without using classification groups.
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ژورنال
عنوان ژورنال: Archiv der Mathematik
سال: 2022
ISSN: ['0003-889X', '1420-8938']
DOI: https://doi.org/10.1007/s00013-022-01703-7