List questions from abstract-algebra

Published on 11 Apr 2026 - 11:50

288

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Power of an $r$-cycle is an $r$-cycle

Published on 12 Apr 2026 - 17:34

187

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Why is $ p-a$ a quadratic residue if $a$ is a quadratic residue?

Published on 23 Apr 2026 - 12:34

51

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Why has the interval changed from p-1 to p/2?

Published on 23 Apr 2026 - 17:30

32

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What operators can be considered as combining two elements?

Published on 13 Apr 2026 - 3:32

160

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Exercise 1.14 (ii) from Rotman's book "An Introduction to the Theory of Groups".

Published on 13 Apr 2026 - 10:27

432

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$P(z)$ be a monic polynomial with complex co-efficients of degree $n$ such that $|P(z)| \le 1, \forall |z| \le 1$ ; then is $P(z)=z^n$?

Published on 10 May 2026 - 16:02

92

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Example of field extensions

Published on 13 Apr 2026 - 10:26

186

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Maximal subgroups of finite group

Published on 12 Apr 2026 - 5:53

57

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Question about the partitions of a natural number

Published on 10 May 2026 - 15:02

128

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Normal closures of finite dimensional field extensions (existence, uniqueness, example)

Published on 15 Apr 2026 - 4:10

70

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Lie algebras of lie subgroups

Published on 13 Apr 2026 - 3:35

36

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Bijection of $\theta:R \rightarrow \mathrm{Frac}(R)$

Published on 10 May 2026 - 16:06

117

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Why is $A\rightarrow \operatorname{im}(f)$ an epimorphism in an abelian category

Published on 17 Apr 2026 - 12:43

40

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Finding the greatest common divisor of two polynomials in a ring

Published on 11 May 2026 - 1:48

List Question

Ideal class defined in terms of linear fractional ideal is chern class?

Power of an $r$-cycle is an $r$-cycle

Why is $ p-a$ a quadratic residue if $a$ is a quadratic residue?

Why has the interval changed from p-1 to p/2?

What operators can be considered as combining two elements?

Exercise 1.14 (ii) from Rotman's book "An Introduction to the Theory of Groups".

$P(z)$ be a monic polynomial with complex co-efficients of degree $n$ such that $|P(z)| \le 1, \forall |z| \le 1$ ; then is $P(z)=z^n$?

Example of field extensions

Maximal subgroups of finite group

Question about the partitions of a natural number

Normal closures of finite dimensional field extensions (existence, uniqueness, example)

Lie algebras of lie subgroups

Bijection of $\theta:R \rightarrow \mathrm{Frac}(R)$

Why is $A\rightarrow \operatorname{im}(f)$ an epimorphism in an abelian category

Finding the greatest common divisor of two polynomials in a ring

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