Question

The commutator of two subgroup in a finite group

score 74 · Answer 1 · 2026-05-05 06:18:52

74

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The commutator of two subgroup in a finite group

Published on 05 May 2026 - 6:18

score 187 · Answer 2 · 2026-04-29 17:33:38

187

Views

Who discovered that normalizer of an abelian Sylow $p$-subgroup controls $p$-transfer?

Published on 29 Apr 2026 - 17:33

score 55 · Answer 3 · 2026-05-10 12:38:26

55

Views

Order of $x$ in $\mathbb F_q[x]/(g(x))$

Published on 10 May 2026 - 12:38

score 2.7k · Answer 4 · 2026-04-29 12:27:25

2.7k

Views

Do Monoid Homomorphisms preserve the identity?

Published on 29 Apr 2026 - 12:27

score 202 · Answer 5 · 2026-05-10 14:40:35

202

Views

Prove that if $G$ is a group with $(ab)^{2}=a^{2}b^{2}$ for all $a,b\in G$, then $G$ is abelian.

Published on 10 May 2026 - 14:40

score 1.6k · Answer 6 · 2026-04-29 12:25:55

1.6k

Views

Determining if the binary operation gives a group structure

Published on 29 Apr 2026 - 12:25

score 63 · Answer 7 · 2026-04-11 03:31:24

63

Views

How does a set $G=\{0,1\}$ satisfies the inverse property with respect to addition?

Published on 11 Apr 2026 - 3:31

score 644 · Answer 8 · 2026-05-05 12:01:20

644

Views

Group of order 616 solvable?

Published on 05 May 2026 - 12:01

score 81 · Answer 9 · 2026-05-07 07:16:27

81

Views

Show that, for every $x\ \epsilon \ C_{m}$, we have that $ord(f(x))$ is a divisor of d.

Published on 07 May 2026 - 7:16

score 189 · Answer 10 · 2026-04-13 03:13:23

189

Views

Proof of isomorphism

Published on 13 Apr 2026 - 3:13

score 243 · Answer 11 · 2026-04-13 17:40:00

243

Views

Give an example of a group $G$ with an injective homomorphism $G \to G$, which is not an isomorphism

Published on 13 Apr 2026 - 17:40

score 70 · Answer 12 · 2026-04-17 04:15:56

Let $g$ be an element of order $2$p in a group of order $2p$ with $p$ a prime number larger than $2$, why is $g^2$ in a subgroup of order $p$.

score 203 · Answer 13 · 2026-04-29 12:44:30

203

Views

determine if a subgroup of a free group is normal

Published on 29 Apr 2026 - 12:44

score 1.1k · Answer 14 · 2026-04-12 21:00:13

1.1k

Views

Proof on order of element of cyclic group must divide the order of the group.

Published on 12 Apr 2026 - 21:00

score 74 · Answer 15 · 2026-05-10 11:21:47

74

Views

For a group [Z,+] with unlabelled integers, what's an algorithm to determine the positive and negative subsets?

Published on 10 May 2026 - 11:21

List Question

The commutator of two subgroup in a finite group

Who discovered that normalizer of an abelian Sylow $p$-subgroup controls $p$-transfer?

Order of $x$ in $\mathbb F_q[x]/(g(x))$

Do Monoid Homomorphisms preserve the identity?

Prove that if $G$ is a group with $(ab)^{2}=a^{2}b^{2}$ for all $a,b\in G$, then $G$ is abelian.

Determining if the binary operation gives a group structure

How does a set $G=\{0,1\}$ satisfies the inverse property with respect to addition?

Group of order 616 solvable?

Show that, for every $x\ \epsilon \ C_{m}$, we have that $ord(f(x))$ is a divisor of d.

Proof of isomorphism

Give an example of a group $G$ with an injective homomorphism $G \to G$, which is not an isomorphism

Let $g$ be an element of order $2$p in a group of order $2p$ with $p$ a prime number larger than $2$, why is $g^2$ in a subgroup of order $p$.

determine if a subgroup of a free group is normal

Proof on order of element of cyclic group must divide the order of the group.

For a group [Z,+] with unlabelled integers, what's an algorithm to determine the positive and negative subsets?

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