Geodesic
On certain properties of totally local formations
Matematičeskie zametki, Tome 60 (1996) no. 1, pp. 24-29 
S. F. Kamornikov. On certain properties of totally local formations. Matematičeskie zametki, Tome 60 (1996) no. 1, pp. 24-29. http://geodesic.mathdoc.fr/item/MZM_1996_60_1_a2/
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     author = {S. F. Kamornikov},
     title = {On certain properties of totally local formations},
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     url = {http://geodesic.mathdoc.fr/item/MZM_1996_60_1_a2/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

$l_\infty\operatorname{form}G$ The structure of the totally local formation $l_\infty\operatorname{form}G$, generated by a simple non-Abelian group $G$ is described. By applying this result we prove the existence of totally local formations that are not idempotents of the semigroup $G_\infty$ of all totally local formations and are not representable as the product of finitely many indecomposable elements of $G_\infty$. We also describe totally local formations all of whose totally local subformations are hereditary.

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