List questions from abstract-algebra

Published on 09 Apr 2026 - 3:37

41

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Calculating minimum polynomial

Published on 14 Apr 2026 - 11:05

94

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Ring Isomomorphism?

Published on 09 Apr 2026 - 2:23

430

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Sanity check regarding Galois group of $X^8 - 3$

Published on 26 Mar 2026 - 14:22

54

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A Condition for a Vector Space to be a Field

Published on 13 Apr 2026 - 23:59

496

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If $H,K\leq G$ with $[G:K]=n,[G:H]=m$, then $[G:H\cap K]\geq \text{lcm}(m,n)$?

Published on 10 Feb 2018 - 15:04

118

Views

Show that $A_5$ has no subgroup of order $20$.

Published on 06 Apr 2026 - 8:22

485

Views

Closed algebraic form of $\cos(\frac{\pi}{7})$

Published on 13 Apr 2026 - 7:22

1.4k

Views

Connecting conjugation in the symmetric group to a more general intuition of conjugation through Cayley's theorem

Published on 10 Feb 2018 - 18:52

244

Views

Properties of a multiplicative map between groups.

Published on 08 Apr 2026 - 21:08

268

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Valuation on a Dedekind domain

Published on 14 Apr 2026 - 14:43

249

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Can an algebraic extension be isomorphic to a proper subfield?

Published on 09 Apr 2026 - 14:07

71

Views

Separable Polynomial Induction Proof

Published on 13 Apr 2026 - 14:07

812

Views

Proving U(33) is isomorphic to $Z_{10}\oplus Z_2$?

Published on 07 Apr 2026 - 0:56

559

Views

Prove G is a nonabelian group of order 20

Published on 09 Apr 2026 - 0:08

List Question

Proving either or statements (in group theory)

Calculating minimum polynomial

Ring Isomomorphism?

Sanity check regarding Galois group of $X^8 - 3$

A Condition for a Vector Space to be a Field

If $H,K\leq G$ with $[G:K]=n,[G:H]=m$, then $[G:H\cap K]\geq \text{lcm}(m,n)$?

Show that $A_5$ has no subgroup of order $20$.

Closed algebraic form of $\cos(\frac{\pi}{7})$

Connecting conjugation in the symmetric group to a more general intuition of conjugation through Cayley's theorem

Properties of a multiplicative map between groups.

Valuation on a Dedekind domain

Can an algebraic extension be isomorphic to a proper subfield?

Separable Polynomial Induction Proof

Proving U(33) is isomorphic to $Z_{10}\oplus Z_2$?

Prove G is a nonabelian group of order 20

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