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14.80 (1999)

Solved

Is the lattice of all totally local formations of finite groups modular? The definition of a totally local formation see in (L. A. Shemetkov, A. N. Skiba, Formatsii algebraicheskikh system, Moscow, Nauka, 1989 (Russian)).

Contributor: A. N. Skiba, L. A. Shemetkov

Progress

Yes, even distributive (V. G. Safonov, Commun. Algebra, 35 (2007), 3495–3502).

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