List questions from abstract-algebra

Published on 12 Apr 2026 - 4:02

58

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Isomorphism normal quotient subgroups

Published on 14 May 2026 - 11:33

57

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$p$ a prime and $p\equiv3\mod 4$, if $a^4=1_F$ where $F$ a field with characteristic $p$, then $x=a+a^{-1}\in F$

Published on 15 Apr 2026 - 17:51

2k

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For any integer $n \ge 3 $, prove that $D_n$ has a subgroup of order 4 if and only if n is even

Published on 16 Apr 2026 - 20:05

1k

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Find all generators of $(\mathbb Z \setminus 11 \mathbb Z)^\times$

Published on 24 Apr 2026 - 8:20

318

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Find Trace and Norm for $K(\alpha)/K$

Published on 14 May 2026 - 8:57

150

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Use of Fundamental structure of finite abelian group

Published on 11 May 2026 - 5:25

3.6k

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The group of rotation of a cube is isomorphic to $S_4$

Published on 13 Apr 2026 - 9:02

96

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Prove if $F \subset E$ is a finite dimensional field extension then $\operatorname{Gal}(E/F)$ is finite

Published on 15 Apr 2026 - 22:01

85

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What is the name of "group over 2 sets"?

Published on 11 Apr 2026 - 8:17

2k

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Are intermediate field extensions of a Galois extension Galois?

Published on 14 Apr 2026 - 19:07

420

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Question about irreducible polynomials over a finite field.

Published on 13 Apr 2026 - 4:21

220

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Question on the definition of Free Abelian Groups

Published on 10 May 2026 - 16:50

58

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About free modules

Published on 12 Apr 2026 - 20:52

862

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closed point of a locally finite $k$-scheme (Hanno's proof)

Published on 10 May 2026 - 17:16

List Question

divisibility for quaternions

Isomorphism normal quotient subgroups

$p$ a prime and $p\equiv3\mod 4$, if $a^4=1_F$ where $F$ a field with characteristic $p$, then $x=a+a^{-1}\in F$

For any integer $n \ge 3 $, prove that $D_n$ has a subgroup of order 4 if and only if n is even

Find all generators of $(\mathbb Z \setminus 11 \mathbb Z)^\times$

Find Trace and Norm for $K(\alpha)/K$

Use of Fundamental structure of finite abelian group

The group of rotation of a cube is isomorphic to $S_4$

Prove if $F \subset E$ is a finite dimensional field extension then $\operatorname{Gal}(E/F)$ is finite

What is the name of "group over 2 sets"?

Are intermediate field extensions of a Galois extension Galois?

Question about irreducible polynomials over a finite field.

Question on the definition of Free Abelian Groups

About free modules

closed point of a locally finite $k$-scheme (Hanno's proof)

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