List questions from abstract-algebra

Published on 23 Apr 2026 - 7:37

324

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Multiplicative inverses in the integers modulo n

Published on 25 Mar 2026 - 18:53

22

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How to show the length of a concatenated cycle?

Published on 14 Apr 2026 - 7:33

739

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proof about generators of a cyclic group

Published on 08 Apr 2026 - 19:25

196

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Let $G$ be a group such that there exists $a\in G$ such that $H = G \setminus\{a\}$ is a subgroup of $G$. Show that $|G|=2$.

Published on 15 Apr 2026 - 9:40

211

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Number of roots of a particular polynomial in $F_{121}$

Published on 16 Apr 2026 - 13:50

54

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Divison in a finite field

Published on 14 Apr 2026 - 11:40

637

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converse of reduction criterion?

Published on 13 Apr 2026 - 11:12

40

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What is the scope of the following operation on a group?

Published on 13 Apr 2026 - 16:13

1k

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Completing the Cayley table given certain information

Published on 20 Apr 2026 - 13:15

138

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If there is a unital ring homomorphism $f:K\to K'$ between two division rings such then prove that $\text{char}(K)=\text{char}(K').$

Published on 15 Apr 2026 - 16:23

113

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How to finds the minimal polynomial of $α + α ^2$ over $\Bbb Q$.?

Published on 12 Apr 2026 - 14:01

95

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Complicated Proof of Free Group Generators by $n$ elements implies $\operatorname{Rank}(F) \le n$

Published on 22 Apr 2026 - 23:08

364

Views

Minimal ideals in a reduced ring

Published on 16 Apr 2026 - 10:22

185

Views

Two hyperbolic elements generated subgroup forming a Fuchsian group?

Published on 11 Apr 2026 - 6:50

List Question

homomorphism from $F^\times \times F^\times$ to Aut$(F)$

Multiplicative inverses in the integers modulo n

How to show the length of a concatenated cycle?

proof about generators of a cyclic group

Let $G$ be a group such that there exists $a\in G$ such that $H = G \setminus\{a\}$ is a subgroup of $G$. Show that $|G|=2$.

Number of roots of a particular polynomial in $F_{121}$

Divison in a finite field

converse of reduction criterion?

What is the scope of the following operation on a group?

Completing the Cayley table given certain information

If there is a unital ring homomorphism $f:K\to K'$ between two division rings such then prove that $\text{char}(K)=\text{char}(K').$

How to finds the minimal polynomial of $α + α ^2$ over $\Bbb Q$.?

Complicated Proof of Free Group Generators by $n$ elements implies $\operatorname{Rank}(F) \le n$

Minimal ideals in a reduced ring

Two hyperbolic elements generated subgroup forming a Fuchsian group?

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