New posts in Solvable Groups

Does a nontrivial finite solvable group have a subgroup of prime power index for each prime divisor?

Let $G$ be a finite group such that if $A, B\le G$ then $AB\le G$. Prove $G$ is a solvable.

Index of subgroups in a finite solvable group, with trivial Frattini subgroup (Exercise 3B.12 from Finite Group Theory, by M. Isaacs)

Definition of polycyclic groups

How do I solve the quintic $n^5-m^4n+\frac{P}{2m}=0$ for $n$?

Is the join of two solvable subgroups solvable?

Why does "solvability" for groups suggest something about the solution of polynomials?

Expressing a root of an irreducible polynomials using the other roots

Why is the group of unit upper triangular matrices solvable?

Solvable equivalent to nilpotency of first derived Lie algebra?