List questions from finite-groups

Published on 28 Mar 2026 - 2:04

459

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Orbit-Stabilizer Theorem proofs?

Published on 29 Apr 2014 - 21:18

1.4k

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Showing that a group is simple.

Published on 25 Mar 2026 - 8:07

1.5k

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$\langle x \rangle$ is a direct summand of a finite abelian group where $x$ is maximal order

Published on 28 Mar 2026 - 2:07

93

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Automorphism of group of $\mathbb{Z}_p^{\oplus n}$

Published on 01 May 2014 - 5:16

195

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Number of subgroups of order $4$ and $8$ in a group of order $72$

Published on 25 Mar 2026 - 3:21

695

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Rank of $(G/H)/(G/H)_t$ where $G$ is finitely generated abelian and $H$ is a subgroup.

Published on 28 Mar 2026 - 2:06

208

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How many different proper subfields does $K$ have, where $K$ is a field of order$p^n$?

Published on 29 Mar 2026 - 8:21

159

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Generality of rings' abelian group

Published on 01 May 2014 - 23:03

225

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Finite Trigonometric Sum

Published on 26 Mar 2026 - 12:51

324

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Modular arithmetic and maximal permutations

Published on 02 May 2014 - 14:22

467

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Average number of distinct values

Published on 02 May 2014 - 17:21

2.7k

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Abelian group generators and relations

Published on 28 Mar 2026 - 2:02

3.3k

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General approach for finding how many group homomorphisms are there

Published on 04 May 2014 - 15:53

414

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How is this automorphism an inversion? And how is this group abelian?

Published on 04 May 2014 - 17:47

List Question

$\psi (m)\leq \phi (m)$ or $\psi (m) \geq \phi (m)$ when $\psi (m)\neq 0$?

Orbit-Stabilizer Theorem proofs?

Showing that a group is simple.

$\langle x \rangle$ is a direct summand of a finite abelian group where $x$ is maximal order

Automorphism of group of $\mathbb{Z}_p^{\oplus n}$

Number of subgroups of order $4$ and $8$ in a group of order $72$

Rank of $(G/H)/(G/H)_t$ where $G$ is finitely generated abelian and $H$ is a subgroup.

How many different proper subfields does $K$ have, where $K$ is a field of order$p^n$?

Generality of rings' abelian group

Finite Trigonometric Sum

Modular arithmetic and maximal permutations

Average number of distinct values

Abelian group generators and relations

General approach for finding how many group homomorphisms are there

How is this automorphism an inversion? And how is this group abelian?

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