List questions from abstract-algebra

Published on 16 Apr 2026 - 7:23

985

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Sylow p-subgroup is normal if and only if it is a characteristic subgroup

Published on 22 Apr 2026 - 9:29

359

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How do isomorphisms determine equivalence relations on the class of all groups?

Published on 26 Mar 2026 - 9:16

271

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Sylow subgroup is normal iff subgroups generated are p-subgroups

Published on 15 Apr 2026 - 7:49

187

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Maps between direct sums

Published on 14 Apr 2026 - 2:52

83

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G is a finite group, show that $a=b^{-1}$

Published on 16 Apr 2026 - 9:18

67

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Show that $Aut(G) \leq S_{G}$, the symmetric group.

Published on 16 Apr 2026 - 10:20

202

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Working out an inequality in the proof of Ostrowski's Theorem

Published on 23 Apr 2026 - 11:15

211

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Abstract Algebra - ideals of the ring $\{a/b : b\text{ odd}\}$

Published on 14 Apr 2026 - 12:58

58

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Determining the elements of $H:=\langle a \rangle \cap \langle b \rangle$

Published on 12 Apr 2026 - 4:22

198

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Generators of $GL_2(\mathbb Q) $

Published on 12 Apr 2026 - 5:45

109

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Existence of distinct roots of a shifted complex polynomial

Published on 15 Apr 2026 - 15:37

471

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Dummit and Foote Section 10.5 Prop 25 Proof (Part of The Splitting Lemma)

Published on 22 Apr 2026 - 7:45

249

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Definition of rational map in Silverman

Published on 17 Apr 2026 - 11:51

95

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I don't understand what this problem is asking for (regarding the group $(P(X), \triangle)$, where $P(X)$ is the power-set of $X$)

Published on 14 Apr 2026 - 21:21

List Question

Product of two Abelian group

Sylow p-subgroup is normal if and only if it is a characteristic subgroup

How do isomorphisms determine equivalence relations on the class of all groups?

Sylow subgroup is normal iff subgroups generated are p-subgroups

Maps between direct sums

G is a finite group, show that $a=b^{-1}$

Show that $Aut(G) \leq S_{G}$, the symmetric group.

Working out an inequality in the proof of Ostrowski's Theorem

Abstract Algebra - ideals of the ring $\{a/b : b\text{ odd}\}$

Determining the elements of $H:=\langle a \rangle \cap \langle b \rangle$

Generators of $GL_2(\mathbb Q) $

Existence of distinct roots of a shifted complex polynomial

Dummit and Foote Section 10.5 Prop 25 Proof (Part of The Splitting Lemma)

Definition of rational map in Silverman

I don't understand what this problem is asking for (regarding the group $(P(X), \triangle)$, where $P(X)$ is the power-set of $X$)

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