Question

If $H$ and $K$ are solvable subgroups of $G$ with $H\unlhd G $ then $HK$ is a solvable subgroup of $G .$

score 605 · Answer 1 · 2026-03-20 10:45:32

605

Views

If $H$ and $K$ are solvable subgroups of $G$ with $H\unlhd G $ then $HK$ is a solvable subgroup of $G .$

Published on 20 Mar 2026 - 10:45

score 315 · Answer 2 · 2026-03-20 09:39:26

315

Views

Cannot follow proof that refinement of solvable series is also solvable

Published on 20 Mar 2026 - 9:39

score 634 · Answer 3 · 2026-03-17 04:47:24

634

Views

Group of order 616 solvable?

Published on 17 Mar 2026 - 4:47

score 185 · Answer 4 · 2026-03-22 11:16:31

185

Views

The bound for $p$-length of $p$-solvable group

Published on 22 Mar 2026 - 11:16

score 288 · Answer 5 · 2026-03-20 07:39:55

288

Views

The context & motivation for the Tits alternative in combinatorial group theory

Published on 20 Mar 2026 - 7:39

score 59 · Answer 6 · 2026-03-20 06:18:04

59

Views

Is every group $G$ such that $\bigcap\limits_nG^{(n)}$ is trivial, solvable?

Published on 20 Mar 2026 - 6:18

score 889 · Answer 7 · 2026-03-20 07:30:56

889

Views

Jordan -Holder for infinite series? composition series $\rightarrow$ chief series

Published on 20 Mar 2026 - 7:30

score 208 · Answer 8 · 2026-03-19 18:34:48

208

Views

Groups of Order 360

Published on 19 Mar 2026 - 18:34

score 317 · Answer 9 · 2026-03-20 09:52:22

317

Views

Solvable group, primitive group action

Published on 20 Mar 2026 - 9:52

score 456 · Answer 10 · 2026-03-20 06:47:18

456

Views

Every group of order 300 is solvable?

Published on 20 Mar 2026 - 6:47

score 259 · Answer 11 · 2026-03-22 07:02:05

259

Views

Compositum of solvable extensions

Published on 22 Mar 2026 - 7:02

score 1k · Answer 12 · 2026-03-22 17:23:37

1k

Views

Prove that $GL_n(\mathbb{C}) $ is not solvable

Published on 22 Mar 2026 - 17:23

score 89 · Answer 13 · 2026-03-21 23:12:29

89

Views

Let $f(x)$ be irreducible in the rationals so that the order of $\operatorname{Gal}(f(x))$ is $255$. Show that $f(x)$ is solvable by radicals.

Published on 21 Mar 2026 - 23:12

score 68 · Answer 14 · 2026-03-22 08:40:07

68

Views

Suppose all the zeros of $f(x)$ are constructible. Show that $f(x)$ is solvable by radicals.

Published on 22 Mar 2026 - 8:40

score 615 · Answer 15 · 2026-03-22 11:15:02

615

Views

Group of order 24 is solvable.

Published on 22 Mar 2026 - 11:15

List Question

If $H$ and $K$ are solvable subgroups of $G$ with $H\unlhd G $ then $HK$ is a solvable subgroup of $G .$

Cannot follow proof that refinement of solvable series is also solvable

Group of order 616 solvable?

The bound for $p$-length of $p$-solvable group

The context & motivation for the Tits alternative in combinatorial group theory

Is every group $G$ such that $\bigcap\limits_nG^{(n)}$ is trivial, solvable?

Jordan -Holder for infinite series? composition series $\rightarrow$ chief series

Groups of Order 360

Solvable group, primitive group action

Every group of order 300 is solvable?

Compositum of solvable extensions

Prove that $GL_n(\mathbb{C}) $ is not solvable

Let $f(x)$ be irreducible in the rationals so that the order of $\operatorname{Gal}(f(x))$ is $255$. Show that $f(x)$ is solvable by radicals.

Suppose all the zeros of $f(x)$ are constructible. Show that $f(x)$ is solvable by radicals.

Group of order 24 is solvable.

Trending Questions

Popular # Hahtags

Popular Questions