Question

Is there a categorification of "(virtually) solvable"?

score 143 · Answer 1 · 2026-03-22 17:29:12

143

Views

Is there a categorification of "(virtually) solvable"?

Published on 22 Mar 2026 - 17:29

score 96 · Answer 2 · 2018-11-12 03:50:49

96

Views

Intersection of normal subgroups is normal

Published on 12 Nov 2018 - 3:50

score 532 · Answer 3 · 2018-11-12 12:21:41

532

Views

How do i prove that any subgroup of $A_5$ has order at most 12?

Published on 12 Nov 2018 - 12:21

score 69 · Answer 4 · 2026-03-25 12:50:56

69

Views

Let $p$ be a prime dividing $|G|$, and let $S_p$ be a $p$-Sylow subgroup of $G$. Show that $N(N(S_p))=N(S_p)$.

Published on 25 Mar 2026 - 12:50

score 70 · Answer 5 · 2018-11-16 20:59:05

70

Views

Intermediary Extensions of $\mathbb{K}=\mathbb{Q}(\frac{\sqrt{2}}{2}+i\frac{\sqrt{2}}{2})$.

Published on 16 Nov 2018 - 20:59

score 543 · Answer 6 · 2026-03-25 12:54:38

543

Views

The order of an element in a quotient group

Published on 25 Mar 2026 - 12:54

score 90 · Answer 7 · 2026-03-25 16:02:57

90

Views

If we divide a group and a proper subgroup of this group by the same normal subgroup, can the quotients be equal?

Published on 25 Mar 2026 - 16:02

score 2k · Answer 8 · 2026-03-25 12:49:43

2k

Views

Suppose $H$ and $K$ are normal subgroups of $G$. Prove that $G/H \times G/K$ has a subgroup that is isomorphic to $G / (H∩K)$.

Published on 25 Mar 2026 - 12:49

score 184 · Answer 9 · 2018-11-25 00:25:18

184

Views

Is it true that if $H_1$ and $H_2$ are isomorphic cyclic subgroups of $G$, then $G/H_1\cong G/H_2$?

Published on 25 Nov 2018 - 0:25

score 56 · Answer 10 · 2026-03-25 12:49:53

56

Views

Let $G$ be a group and $H, H'$ be subgroups of $G$ where $H$ is normal. Under which circumstances is $H \cap H'$ a normal subgroup of $H$?

Published on 25 Mar 2026 - 12:49

score 147 · Answer 11 · 2026-03-26 06:31:48

147

Views

The group homomorphism $z \mapsto (z/|z|)^2$ with an application of the homomorphism theorem.

Published on 26 Mar 2026 - 6:31

score 728 · Answer 12 · 2018-11-30 03:28:31

728

Views

Finding commutator subgroup $[D_3, D_3]$ of $D_3$ and showing $[D_3, D_3]$ is a normal subgroup of $D_3$

Published on 30 Nov 2018 - 3:28

score 372 · Answer 13 · 2018-11-30 15:35:06

372

Views

Normal subgroup and conjugate classes

Published on 30 Nov 2018 - 15:35

score 213 · Answer 14 · 2018-12-01 18:13:38

213

Views

Does the Lie group $G_2$ contain any normal subgroups?

Published on 01 Dec 2018 - 18:13

score 88 · Answer 15 · 2018-12-02 17:07:18

88

Views

Proving an Intersection of Subgroups is Normal

Published on 02 Dec 2018 - 17:07

List Question

Is there a categorification of "(virtually) solvable"?

Intersection of normal subgroups is normal

How do i prove that any subgroup of $A_5$ has order at most 12?

Let $p$ be a prime dividing $|G|$, and let $S_p$ be a $p$-Sylow subgroup of $G$. Show that $N(N(S_p))=N(S_p)$.

Intermediary Extensions of $\mathbb{K}=\mathbb{Q}(\frac{\sqrt{2}}{2}+i\frac{\sqrt{2}}{2})$.

The order of an element in a quotient group

If we divide a group and a proper subgroup of this group by the same normal subgroup, can the quotients be equal?

Suppose $H$ and $K$ are normal subgroups of $G$. Prove that $G/H \times G/K$ has a subgroup that is isomorphic to $G / (H∩K)$.

Is it true that if $H_1$ and $H_2$ are isomorphic cyclic subgroups of $G$, then $G/H_1\cong G/H_2$?

Let $G$ be a group and $H, H'$ be subgroups of $G$ where $H$ is normal. Under which circumstances is $H \cap H'$ a normal subgroup of $H$?

The group homomorphism $z \mapsto (z/|z|)^2$ with an application of the homomorphism theorem.

Finding commutator subgroup $[D_3, D_3]$ of $D_3$ and showing $[D_3, D_3]$ is a normal subgroup of $D_3$

Normal subgroup and conjugate classes

Does the Lie group $G_2$ contain any normal subgroups?

Proving an Intersection of Subgroups is Normal

Trending Questions

Popular # Hahtags

Popular Questions