Question

$\operatorname{char} k=0$, $a,b,c,d,e \in k$ , then is the polynomial $f(x)=ax^8+bx^6+cx^4+dx^2+e$ solvable by radicals over $k$?

score 138 · Answer 1 · 2017-04-25 13:47:55

138

Views

$\operatorname{char} k=0$, $a,b,c,d,e \in k$ , then is the polynomial $f(x)=ax^8+bx^6+cx^4+dx^2+e$ solvable by radicals over $k$?

Published on 25 Apr 2017 - 13:47

score 495 · Answer 2 · 2017-04-25 19:10:59

495

Views

Quintic polynomial over rationals , with Galois group of order more than $24$ , is not solvable by radicals?

Published on 25 Apr 2017 - 19:10

score 122 · Answer 3 · 2017-04-26 14:01:44

Prove that $G$ is soluble if and only if it has a subnormal series 1 $\leq G_1 \leq \cdots \leq G$ such that $G_i/G_{i+1}$ is abelian.

score 1.6k · Answer 4 · 2026-03-26 19:19:32

1.6k

Views

Galois groups of extensions of local fields

Published on 26 Mar 2026 - 19:19

score 633 · Answer 5 · 2017-06-03 09:15:02

633

Views

Attempt to prove that quotients of a solvable group are solvable

Published on 03 Jun 2017 - 9:15

score 100 · Answer 6 · 2017-06-05 16:09:26

100

Views

Characterization of non solvable groups in terms of normal series.

Published on 05 Jun 2017 - 16:09

score 225 · Answer 7 · 2017-08-14 13:13:15

225

Views

G be finite and solvable and M is maximal subgroup of G with $core_G(M)=1$

Published on 14 Aug 2017 - 13:13

score 61 · Answer 8 · 2026-03-26 03:01:15

61

Views

Subgroup of a given index

Published on 26 Mar 2026 - 3:01

score 2.4k · Answer 9 · 2017-09-18 11:05:28

2.4k

Views

group of order 36 is solvable

Published on 18 Sep 2017 - 11:05

score 57 · Answer 10 · 2017-09-26 11:35:16

57

Views

G acts on {$a,b,c,d,e$}. Prove it's not solvable

Published on 26 Sep 2017 - 11:35

score 2k · Answer 11 · 2017-09-28 08:23:03

2k

Views

Prove that group of order 112 is solvable

Published on 28 Sep 2017 - 8:23

score 709 · Answer 12 · 2017-10-03 18:04:26

709

Views

Show a group is solvable iff quotient by its center is solvable

Published on 03 Oct 2017 - 18:04

score 307 · Answer 13 · 2026-03-26 21:26:20

307

Views

Index of a maximal subgroup in a solvable group

Published on 26 Mar 2026 - 21:26

score 87 · Answer 14 · 2026-02-23 01:04:25

87

Views

Conflict with finite Moufang loop solvability propositions

Published on 23 Feb 2026 - 1:04

score 375 · Answer 15 · 2017-11-06 13:21:16

375

Views

Relation between a normal subgroup and the center of a Nilpotent group

Published on 06 Nov 2017 - 13:21

List Question

$\operatorname{char} k=0$, $a,b,c,d,e \in k$ , then is the polynomial $f(x)=ax^8+bx^6+cx^4+dx^2+e$ solvable by radicals over $k$?

Quintic polynomial over rationals , with Galois group of order more than $24$ , is not solvable by radicals?

Prove that $G$ is soluble if and only if it has a subnormal series 1 $\leq G_1 \leq \cdots \leq G$ such that $G_i/G_{i+1}$ is abelian.

Galois groups of extensions of local fields

Attempt to prove that quotients of a solvable group are solvable

Characterization of non solvable groups in terms of normal series.

G be finite and solvable and M is maximal subgroup of G with $core_G(M)=1$

Subgroup of a given index

group of order 36 is solvable

G acts on {$a,b,c,d,e$}. Prove it's not solvable

Prove that group of order 112 is solvable

Show a group is solvable iff quotient by its center is solvable

Index of a maximal subgroup in a solvable group

Conflict with finite Moufang loop solvability propositions

Relation between a normal subgroup and the center of a Nilpotent group

Trending Questions

Popular # Hahtags

Popular Questions