On solvability of a group with hall supplements to normalizers of isolated subgroups

T. V. Borodich

Problemy fiziki, matematiki i tehniki, no. 3 (2016), pp. 35-39.

Résumé

Let $G$ be finite group and $p\in\pi(G)$. Suppose that for all $q\in\pi(G)\setminus\{p\}$ normalizer Sylow $q$-subgroups has nilpotent Hall supplement. Under these assumptions, prove that $G$ is solvable.

Détail

Keywords: finite group, nilpotent group, Hall subgroup, Sylow subgroup, normalizer.
Mots-clés : soluble group

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