List questions from solvable-groups

Published on 12 Nov 2017 - 9:28

480

Views

Why is $f(X)=X^5-X^3-5X^2+5$ is solvable by radicals?

Published on 13 Nov 2017 - 11:02

483

Views

Prove Sylow subgroups $S_5S_{11}\lhd G$ when $|G|=495$

Published on 25 Nov 2017 - 22:18

772

Views

Any solvable group of order sixty has a normal subgroup of order five

Published on 02 Dec 2017 - 2:38

2k

Views

every maximal subgroup of a finite solvable group has prime power index.

Published on 26 Mar 2026 - 18:52

1k

Views

The images of commutator subgroup under homomorphisms, and images of solvable groups

Published on 20 Dec 2017 - 22:15

65

Views

If $G'$ is a solvable derived subgroup of $G$ then is $G$ solvable?

Published on 03 Jan 2018 - 13:39

333

Views

Free groups in some classes?

Published on 16 Oct 2010 - 4:49

1.4k

Views

Group Which Isn't Solvable

Published on 20 Apr 2011 - 16:10

5.5k

Views

For $G$ a group and $H\unlhd G$, then $G$ is solvable iff $H$ and $G/H$ are solvable?

Published on 18 May 2011 - 6:04

1.1k

Views

Is $(\mathbb{Z},+)$ a solvable group?

Published on 08 Oct 2011 - 4:54

6.6k

Views

Nilpotent groups are solvable

Published on 25 Mar 2026 - 20:32

512

Views

Is infinite product of nilpotent groups nilpotent?

Published on 25 Mar 2026 - 22:11

1.9k

Views

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

Published on 08 Jan 2013 - 14:50

1.3k

Views

Is the Galois group associated to a random polynomial solvable with probability 0?

Published on 11 Jan 2013 - 18:01

List Question

Solvability of the product group

Why is $f(X)=X^5-X^3-5X^2+5$ is solvable by radicals?

Prove Sylow subgroups $S_5S_{11}\lhd G$ when $|G|=495$

Any solvable group of order sixty has a normal subgroup of order five

every maximal subgroup of a finite solvable group has prime power index.

The images of commutator subgroup under homomorphisms, and images of solvable groups

If $G'$ is a solvable derived subgroup of $G$ then is $G$ solvable?

Free groups in some classes?

Group Which Isn't Solvable

For $G$ a group and $H\unlhd G$, then $G$ is solvable iff $H$ and $G/H$ are solvable?

Is $(\mathbb{Z},+)$ a solvable group?

Nilpotent groups are solvable

Is infinite product of nilpotent groups nilpotent?

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

Is the Galois group associated to a random polynomial solvable with probability 0?

Trending Questions

Popular # Hahtags

Popular Questions