New posts in solvable-groups

No group has commutator isomorphic to S_4

When does a formula for the roots of a polynomial exist?

Show that a group of order $p^2q^2$ is solvable

Free groups in some classes?

$G$ solvable $\implies$ composition factors of $G$ are of prime order.

Group G Preserving a Flag is Solvable

Why are solvable groups important?

If $|G| = n < 60$, and $n$ is composite, then $G$ is not a simple group. Why? [duplicate]

A group of order less than $60$

Solvable and nilpotent groups, normal series and intuition

What can be said about two groups with isomorphic derived factors?

Why is the group of unit upper triangular matrices solvable?

Problem about solvable groups

Reconciling Different Definitions of Solvable Group

If a finite group $G$ is solvable, is $[G,G]$ nilpotent?

How can I tell if $x^5 - (x^4 + x^3 + x^2 + x^1 + 1)$ is/is not part of the solvable group of polynomials?

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

There exist infinite solvable $p$-groups with trivial centre. (Use a hint.)

Solvable equivalent to nilpotency of first derived Lie algebra?

Understanding non-solvable algebraic numbers