List questions from abstract-algebra

Published on 02 Apr 2026 - 11:23

190

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Properties of symmetric and alternating characters

Published on 10 Apr 2026 - 1:22

279

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Representation theory of $S_3$

Published on 09 Apr 2026 - 15:04

572

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direct sum of injective hull of two modules is equal to the injective hull of direct sum of those modules

Published on 08 Apr 2026 - 20:59

32

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Question regarding definition of isomorphism

Published on 09 Apr 2026 - 20:05

723

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What does a direct sum of tensor products look like?

Published on 10 Apr 2026 - 8:17

128

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Finite group, How can I construct solution step-by-step.

Published on 08 Apr 2026 - 22:23

2.9k

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An isomorphism $f:G_1 \to G_2$ maps the identity of $G_1$ to the identity of $G_2$

Published on 08 Apr 2026 - 22:26

50

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Studying the $F[x]/\langle p(x)\rangle$ when $p(x)$ is any degree.

Published on 10 Apr 2026 - 1:35

2k

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Find that $8^{103} \bmod(13)$ using Fermat's Little Theorem

Published on 10 Apr 2026 - 4:41

610

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Proof of normal basis theorem for finite fields

Published on 08 Apr 2026 - 22:24

274

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Stabilizer of a Matrix

Published on 31 Mar 2026 - 21:14

2k

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Let $G$ be a cyclic (or not) group of order $n$ and let $k$ be an integer relatively prime to $n$. Prove that the map $x \mapsto x^k$ is surjective.

Published on 16 Jan 2018 - 18:09

78

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When will $F[x]/\langle p(x)\rangle$ strictly contain $F$?

Published on 09 Apr 2026 - 0:05

197

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In the category of abelian groups the coequalizer $\text{Coker}(f, 0)$, $f: A \to B$ is simply $B/f(A)$.

Published on 08 Apr 2026 - 23:13

List Question

elements in general product

Properties of symmetric and alternating characters

Representation theory of $S_3$

direct sum of injective hull of two modules is equal to the injective hull of direct sum of those modules

Question regarding definition of isomorphism

What does a direct sum of tensor products look like?

Finite group, How can I construct solution step-by-step.

An isomorphism $f:G_1 \to G_2$ maps the identity of $G_1$ to the identity of $G_2$

Studying the $F[x]/\langle p(x)\rangle$ when $p(x)$ is any degree.

Find that $8^{103} \bmod(13)$ using Fermat's Little Theorem

Proof of normal basis theorem for finite fields

Stabilizer of a Matrix

Let $G$ be a cyclic (or not) group of order $n$ and let $k$ be an integer relatively prime to $n$. Prove that the map $x \mapsto x^k$ is surjective.

When will $F[x]/\langle p(x)\rangle$ strictly contain $F$?

In the category of abelian groups the coequalizer $\text{Coker}(f, 0)$, $f: A \to B$ is simply $B/f(A)$.

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