Question

A problem from abstract algebra of finite group?

score 72 · Answer 1 · 2026-04-10 18:12:24

72

Views

A problem from abstract algebra of finite group?

Published on 10 Apr 2026 - 18:12

score 330 · Answer 2 · 2026-05-04 06:43:07

330

Views

Showing $(3 + \sqrt{3})$ is not a prime ideal in $\mathbb{Z}[\sqrt{3}]$

Published on 04 May 2026 - 6:43

score 229 · Answer 3 · 2026-04-15 06:36:20

229

Views

For a finitely generated $K$ algebra $A$ is $S^{-1}A$ also finitely generated $K$ algebra?

Published on 15 Apr 2026 - 6:36

score 361 · Answer 4 · 2026-04-15 13:57:50

361

Views

Group Homomorphism: Is it required to have the inverse preservation to prove Identity Mappings?

Published on 15 Apr 2026 - 13:57

score 484 · Answer 5 · 2026-04-16 20:40:42

484

Views

Nilpotent Elements of a Group Ring

Published on 16 Apr 2026 - 20:40

score 59 · Answer 6 · 2026-04-16 03:02:25

59

Views

Restrictions of $Gal(\mathbb{C}/\mathbb{Q})$ to a finite extension $\mathbb{K}$ of $\mathbb{Q}$

Published on 16 Apr 2026 - 3:02

score 75 · Answer 7 · 2026-04-09 08:35:25

75

Views

Is it Integral domain?

Published on 09 Apr 2026 - 8:35

score 236 · Answer 8 · 2026-04-13 19:40:20

236

Views

How do we know there is no basis for the ideal $(2, 1+\sqrt{-5})$ as a $\mathbb Z[\sqrt{-5}]$-module?

Published on 13 Apr 2026 - 19:40

score 164 · Answer 9 · 2026-04-14 16:59:56

164

Views

If $G$ is a finite group, then every element in the group has a finite order which is at most equal to $|G|$

Published on 14 Apr 2026 - 16:59

score 515 · Answer 10 · 2026-04-15 17:56:07

515

Views

Splitting field of $X^5-t$ in $\mathbb{Q}(t)[X]$

Published on 15 Apr 2026 - 17:56

score 229 · Answer 11 · 2026-04-29 12:21:49

229

Views

Prove that $K \otimes_F F(\theta) \cong K[x]/(p(x))$ as $K$-algebras.

Published on 29 Apr 2026 - 12:21

score 71 · Answer 12 · 2026-04-13 00:26:11

71

Views

Bounds on dimensions of fixed subspaces of a representation, implies that there exists a non-zero fixed element.

Published on 13 Apr 2026 - 0:26

score 38 · Answer 13 · 2026-04-10 22:51:11

38

Views

Reducedness of a factor ring in regard of group rings

Published on 10 Apr 2026 - 22:51

score 217 · Answer 14 · 2026-04-16 11:37:00

217

Views

Number of Even Permutations $p$ such that $pqp^{-1}=q$

Published on 16 Apr 2026 - 11:37

score 38 · Answer 15 · 2026-04-14 13:34:50

38

Views

Prove a identity of a ring

Published on 14 Apr 2026 - 13:34

List Question

A problem from abstract algebra of finite group?

Showing $(3 + \sqrt{3})$ is not a prime ideal in $\mathbb{Z}[\sqrt{3}]$

For a finitely generated $K$ algebra $A$ is $S^{-1}A$ also finitely generated $K$ algebra?

Group Homomorphism: Is it required to have the inverse preservation to prove Identity Mappings?

Nilpotent Elements of a Group Ring

Restrictions of $Gal(\mathbb{C}/\mathbb{Q})$ to a finite extension $\mathbb{K}$ of $\mathbb{Q}$

Is it Integral domain?

How do we know there is no basis for the ideal $(2, 1+\sqrt{-5})$ as a $\mathbb Z[\sqrt{-5}]$-module?

If $G$ is a finite group, then every element in the group has a finite order which is at most equal to $|G|$

Splitting field of $X^5-t$ in $\mathbb{Q}(t)[X]$

Prove that $K \otimes_F F(\theta) \cong K[x]/(p(x))$ as $K$-algebras.

Bounds on dimensions of fixed subspaces of a representation, implies that there exists a non-zero fixed element.

Reducedness of a factor ring in regard of group rings

Number of Even Permutations $p$ such that $pqp^{-1}=q$

Prove a identity of a ring

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