Question

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

score 612 · Answer 1 · 2026-04-29 12:42:50

612

Views

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

Published on 29 Apr 2026 - 12:42

score 322 · Answer 2 · 2026-04-29 12:42:46

322

Views

Cannot follow proof that refinement of solvable series is also solvable

Published on 29 Apr 2026 - 12:42

score 644 · Answer 3 · 2026-05-05 12:01:20

644

Views

Group of order 616 solvable?

Published on 05 May 2026 - 12:01

score 193 · Answer 4 · 2026-05-10 08:24:14

193

Views

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

Published on 10 May 2026 - 8:24

score 295 · Answer 5 · 2026-04-29 12:42:52

295

Views

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

Published on 29 Apr 2026 - 12:42

score 65 · Answer 6 · 2026-04-29 12:42:50

65

Views

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

Published on 29 Apr 2026 - 12:42

score 896 · Answer 7 · 2026-04-29 12:42:53

896

Views

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

Published on 29 Apr 2026 - 12:42

score 215 · Answer 8 · 2026-04-29 12:42:45

215

Views

Groups of Order 360

Published on 29 Apr 2026 - 12:42

score 322 · Answer 9 · 2026-04-29 12:42:22

322

Views

Solvable group, primitive group action

Published on 29 Apr 2026 - 12:42

score 463 · Answer 10 · 2026-04-29 12:42:35

463

Views

Every group of order 300 is solvable?

Published on 29 Apr 2026 - 12:42

score 266 · Answer 11 · 2026-04-29 12:42:50

266

Views

Compositum of solvable extensions

Published on 29 Apr 2026 - 12:42

score 1k · Answer 12 · 2026-04-29 12:42:08

1k

Views

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

Published on 29 Apr 2026 - 12:42

score 96 · Answer 13 · 2026-05-10 12:35:19

96

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 10 May 2026 - 12:35

score 76 · Answer 14 · 2026-05-10 12:35:30

76

Views

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

Published on 10 May 2026 - 12:35

score 624 · Answer 15 · 2026-05-10 12:33:57

624

Views

Group of order 24 is solvable.

Published on 10 May 2026 - 12:33

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.

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