Question

How many group homomorphisms are there from $(\mathbb{Q}^+, \cdot\ )$ to $(\mathbb{Z}_m,+)$

score 198 · Answer 1 · 2026-03-26 23:09:30

198

Views

How many group homomorphisms are there from $(\mathbb{Q}^+, \cdot\ )$ to $(\mathbb{Z}_m,+)$

Published on 26 Mar 2026 - 23:09

score 783 · Answer 2 · 2026-03-30 00:03:55

783

Views

Are all finite groups Lie groups?

Published on 30 Mar 2026 - 0:03

score 387 · Answer 3 · 2026-03-25 06:13:28

387

Views

Let $G$ be a $p$-group of nilpotency class at most 2, where $p$ is an odd prime. Then ${\{x^p| x \in G\}}$ is a subgroup of $G$.

Published on 25 Mar 2026 - 6:13

score 143 · Answer 4 · 2026-03-28 03:07:05

143

Views

Group $N \triangleleft G$, $(|N|,|G/N|) = 1$, then $N$ is a characteristic subgroup of $G$.

Published on 28 Mar 2026 - 3:07

score 55 · Answer 5 · 2026-03-26 03:00:22

55

Views

Dihedral groups non-commutavity

Published on 26 Mar 2026 - 3:00

score 281 · Answer 6 · 2026-03-26 20:39:57

281

Views

What is the difference between Cauchy's Theorem and Cauchy's Theorem for Abelian Groups?

Published on 26 Mar 2026 - 20:39

score 450 · Answer 7 · 2026-03-27 23:01:39

450

Views

Does there exist a characteristically simple group, which is not a direct product of simple groups?

Published on 27 Mar 2026 - 23:01

score 1.8k · Answer 8 · 2026-03-26 19:16:57

1.8k

Views

What does it mean for a group action to be linear?

Published on 26 Mar 2026 - 19:16

score 547 · Answer 9 · 2026-03-26 23:10:49

547

Views

Generators of the image of a homomorphism $G \rightarrow \operatorname{GL}_{n}(\mathbb{C})$

Published on 26 Mar 2026 - 23:10

score 348 · Answer 10 · 2019-03-24 15:16:08

348

Views

$ U_ {p} $ is cyclic for p is a odd prime.

Published on 24 Mar 2019 - 15:16

score 236 · Answer 11 · 2026-03-27 04:16:37

236

Views

Cardinality of permutations definition

Published on 27 Mar 2026 - 4:16

score 71 · Answer 12 · 2026-03-25 21:49:04

71

Views

Automorphism group of a finite group

Published on 25 Mar 2026 - 21:49

score 379 · Answer 13 · 2026-03-26 06:21:21

379

Views

Show that $D_{33}$ is not isomorphic to $D_{11} \oplus Z_{3}$.

Published on 26 Mar 2026 - 6:21

score 892 · Answer 14 · 2019-03-25 18:06:08

892

Views

Can one show that there must be only two groups of order 6 and that every abelian group of order 6 must be isomorphic to $C_6$ without...

Published on 25 Mar 2019 - 18:06

score 142 · Answer 15 · 2026-03-25 11:16:46

142

Views

Relation between a finite group and the Galois group for the field extension generated by the character table entries

Published on 25 Mar 2026 - 11:16

List Question

How many group homomorphisms are there from $(\mathbb{Q}^+, \cdot\ )$ to $(\mathbb{Z}_m,+)$

Are all finite groups Lie groups?

Let $G$ be a $p$-group of nilpotency class at most 2, where $p$ is an odd prime. Then ${\{x^p| x \in G\}}$ is a subgroup of $G$.

Group $N \triangleleft G$, $(|N|,|G/N|) = 1$, then $N$ is a characteristic subgroup of $G$.

Dihedral groups non-commutavity

What is the difference between Cauchy's Theorem and Cauchy's Theorem for Abelian Groups?

Does there exist a characteristically simple group, which is not a direct product of simple groups?

What does it mean for a group action to be linear?

Generators of the image of a homomorphism $G \rightarrow \operatorname{GL}_{n}(\mathbb{C})$

$ U_ {p} $ is cyclic for p is a odd prime.

Cardinality of permutations definition

Automorphism group of a finite group

Show that $D_{33}$ is not isomorphic to $D_{11} \oplus Z_{3}$.

Can one show that there must be only two groups of order 6 and that every abelian group of order 6 must be isomorphic to $C_6$ without...

Relation between a finite group and the Galois group for the field extension generated by the character table entries

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