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JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive

Sibirsk. Mat. Zh., 1993 Volume 34, Number 5, Pages 181–187 (Mi smj1498)

This article is cited in 1 paper

On formations like $\mathfrak{CH}$

A. N. Skiba


Abstract: A description is given for formations of finite groups with a local screen $f$ such that for every group $A$ of automorphisms of an arbitrary group $G$ the fact that $A$ acts $f$-stably on the section $\widetilde{F}(G)/\Phi(G)$ implies that $A$ acts $f$-stably on $\Phi(G)$.

UDC: 519.44

Received: 25.11.1992


 English version:
Siberian Mathematical Journal, 1993, 34:5, 953–958

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© Steklov Math. Inst. of RAS, 2026