The Finiteness Obstructions for Nilpotent Spaces lie in D (...).
The nilpotency of some groups with all subgroups subnormal.
Let G be a group with all subgroups subnormal. A normal subgroup N of G is said to be G-minimax if it has a finite G-invariant series whose factors are abelian and satisfy either max-G or min- G. It is proved that if the normal closure of every element of G is G-minimax then G is nilpotent and the normal closure of every element is minimax. Further results of this type are also obtained.
The number of sides of a parallelogram.
The structure of finite p-groups: effective proof of the coclass conjectures.
The structure of -free nilpotent groups of step 3.
The width of a power of a free nilpotent group of nilpotency class 2.
Torsion-free constructive nilpotent -groups.
Two decidable Markov properties over a class of solvable groups.
Two Results on Associativity of Composite Operations in Groups