List questions from solvable-groups

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Abelian normal subgroups of A-groups

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On automorphisms of groups which extend as automorphisms to every larger group

Published on 25 Mar 2026 - 1:36

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Two questions regarding this proof from my notes which shows that if $H$ is normal in $G$ and $G$ is solvable then $\tfrac{G}{H}$ is solvable

Published on 11 Jan 2019 - 17:32

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Derived series of the Dihedral group

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Set of Rotations Cyclic?

Published on 13 Feb 2019 - 5:33

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Definition of solvable group in Fraleigh book

Published on 14 Feb 2019 - 14:44

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Proof of $G$ is solvable implies $G/N$ is solvable.

Published on 10 Mar 2019 - 20:07

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On the solvability group

Published on 04 Apr 2019 - 16:59

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solvable groups have at least two irreducible representations of dim 1

Published on 08 Apr 2019 - 23:07

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Why does a one-to-one homomorphism from $G$ to $G/H\times G/K$ imply $G$ is solvable?

Published on 29 Apr 2019 - 2:16

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Basic theorem for solvable groups not true for nilpotent groups - counterexample.

Published on 20 May 2019 - 15:59

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Is every compact solvmanifold the quotient of a simply connected solvable Lie group by a discrete subgroup?

Published on 20 May 2019 - 18:17

353

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Show that upper triangular matrices group is solvable

Published on 27 May 2019 - 7:45

333

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show that if $G/K, G/N$ are solvable then $G/(K \cap N)$ is also solvable

Published on 27 May 2019 - 8:49

List Question

Proof that a group of order 8888 is solvable

Abelian normal subgroups of A-groups

On automorphisms of groups which extend as automorphisms to every larger group

Two questions regarding this proof from my notes which shows that if $H$ is normal in $G$ and $G$ is solvable then $\tfrac{G}{H}$ is solvable

Derived series of the Dihedral group

Set of Rotations Cyclic?

Definition of solvable group in Fraleigh book

Proof of $G$ is solvable implies $G/N$ is solvable.

On the solvability group

solvable groups have at least two irreducible representations of dim 1

Why does a one-to-one homomorphism from $G$ to $G/H\times G/K$ imply $G$ is solvable?

Basic theorem for solvable groups not true for nilpotent groups - counterexample.

Is every compact solvmanifold the quotient of a simply connected solvable Lie group by a discrete subgroup?

Show that upper triangular matrices group is solvable

show that if $G/K, G/N$ are solvable then $G/(K \cap N)$ is also solvable

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