List questions from solvable-groups

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Is there a proof that this polynomial solvable by radicals?

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List Question

$G$ is solvable if and only if it has a normal series with each factor of order a power of a prime

Is there a proof that this polynomial solvable by radicals?

Solvability and representation of finite groups

Which unitary groups are solvable?

Why is the derived series special for the idea of solvability of a Lie algebra?

When is a 5th degree polynomial with at least 1 non-real root solvable by radicals?

Doubly transitive and solvable

A Group $G$ is soluble $\iff G^{(k)}=\{e\}$ for some $k$

Group of order $8p$ is solvable, for any prime $p$

Projective linear group - solvable

sylow basis of finite solvable groups

Number of Sylow bases of a certain group of order 60

Existence a certain subgroup of a group

If all Sylow subgroups are normal then the group is solvable

Cover and avoidance properties of chief factors: can we avoid exactly the ones we want?

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