11.91 (1990)
SolvedProve that a hereditary formation $\mathfrak{F}$ of finite soluble groups is local if every finite soluble non-simple minimal non-$\mathfrak{F}$-group is a Shmidt group (that is, a non-nilpotent finite group all of whose proper subgroups are nilpotent).
Progress
This is proved (A. N. Skiba, Dokl. Akad. Nauk Belorus. SSR, 34, no. 11 (1990), 982–985 (Russian)).
Proof claims
Proof claims are the responsibility of the submitter. Appearance here does not mean the claim has been checked for mathematical correctness.
Moderators only screen for spam, abuse, and obviously low-effort submissions.
No proof claims yet.
Log in to claim a proof.
Comments
No comments yet. Be the first to comment.
Log in to post a comment.