| Abstract: | The structure of the totally local formation,ℓ
∞ formG, generated by a simple non-Abelian groupG is described. By applying this result we prove the existence of totally local formations that are not idempotents of the
semigroupG
∞ of all totally local formations and are not representable as the product of finitely many indecomposable elements ofG
∞. We also describe totally local formations all of whose totally local subformations are hereditary.
Translated fromMatematicheskie Zametki, Vol. 60, No. 1, pp. 24–29, July, 1996. |
