Characterization of the soluble one-generated totally saturated formations of finite groups

• DOI: 10.1007/s11202-007-0015-3
• Publication Date: 2007-01-27T04:02:23Z
• Authors: V. G. Safonov
• Keywords: 0101 mathematics; 01 natural sciences

We prove that the finite length condition for the lattice of τ-closed totally saturated subformations of a τ-closed totally saturated formation is equivalent to the finite length condition for this lattice, and it is also equivalent for the formation to be soluble and one-generated.