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- W4296472503 abstract "Let $A$ be an elementary abelian group of order $p^{k}$ with $kgeq 3$ acting on a finite $p'$-group $G$. The following results are proved. If $gamma_{k-2}(C_{G}(a))$ is nilpotent of class at most $c$ for any $ain A^{#}$, then $gamma_{k-2}(G)$ is nilpotent and has ${c,k,p}$-bounded nilpotency class. If, for some integer $d$ such that $2^{d}+2leq k$, the $d$th derived group of $C_{G}(a)$ is nilpotent of class at most $c$ for any $ain A^{#}$, then the $d$th derived group $G^{(d)}$ is nilpotent and has ${c,k,p}$-bounded nilpotency class. Earlier this was known only in the case where $kleq 4$." @default.
- W4296472503 created "2022-09-21" @default.
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- W4296472503 date "2011-12-26" @default.
- W4296472503 modified "2023-10-14" @default.
- W4296472503 title "Centralizers of coprime automorphisms of finite groups" @default.
- W4296472503 doi "https://doi.org/10.48550/arxiv.1112.5880" @default.
- W4296472503 hasPublicationYear "2011" @default.
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