List questions from group-homomorphism | MathQa

Normal subgroup of prime order in the center

Published on 12 Jan 2025 - 19:10

Why is $gN = N$ for $g \in N$?

Published on 12 Jan 2025 - 17:38

Left and right cosets of kernel of group homomorphism

Published on 03 Jan 2025 - 3:26

If $u$ is in fiber under given group homomorphism then where is $u^{-1}$?

Published on 28 Dec 2024 - 20:21

Give an example of an injective ring homomorphism $f : R \to S$ where $R$ is commutative, but $S$ is not commutative

Published on 12 Jan 2025 - 9:03

Quotient isomorphism question.

Published on 12 Jan 2025 - 18:33

Find all homomorphisms from $D_{2n}$ to $\mathbb C^\times$ (revisit)

Published on 27 Dec 2024 - 12:15

$k$ cosets of normal subgroup and $k$th power of group element

Published on 03 Jan 2025 - 19:57

Let $f \in$ Hom(G,H). Show that Kerf($f$) is a subgroup of $G$ and is normal.

Published on 04 Jan 2025 - 11:54

Prove $\mathbb{Q}[r]$ has same dimension as $\mathbb{Q}^n$ for irrational $r$

Published on 03 Jan 2025 - 8:07