List questions from finite-groups

Published on 16 Apr 2026 - 19:12

455

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Unique order $d$ subgroup of $\Bbb Z/n\Bbb Z$ if $d\mid n$

Published on 15 Apr 2026 - 3:34

447

Views

Sylow $p$-groups in $GL_3(\Bbb F_p)$

Published on 17 Apr 2026 - 10:36

376

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Automorphism group of finite $p$-groups

Published on 10 Apr 2026 - 23:17

57

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Trying to find an isomorphism

Published on 11 Apr 2026 - 21:15

223

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Questions about Sylow $p$-groups

Published on 13 Apr 2026 - 3:29

234

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$G$ a finite group with two non-trivial normal subgroups. $|G| = pq$. Why is $G$ cyclic?

Published on 15 Apr 2026 - 2:44

302

Views

Regarding the general method of the ''Classify groups of order $X$'' question.

Published on 16 Apr 2026 - 8:57

217

Views

Order of $\mathrm{SL}(n,\mathbb{F}_p)$ (Constructive proof)

Published on 16 Apr 2026 - 23:12

2.3k

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order of an element in a modulo group under multiplication

Published on 13 Apr 2026 - 18:55

13.1k

Views

If $G$ is a non-abelian group of order 10, prove that $G$ has five elements of order 2.

Published on 16 Apr 2026 - 8:26

1.6k

Views

Finite group of order $mn$ with $m,n$ coprime

Published on 14 Apr 2026 - 6:45

67

Views

possible cyclic group from fundamental theorem of finite abelian

Published on 09 Apr 2026 - 4:34

338

Views

If $|G|=p^3q^2$ then $\Phi(G)$ is cyclic for primes $p\neq q$.

Published on 16 Apr 2026 - 7:00

166

Views

$\{g\in G\mid\alpha(g)=g^{-1}\}=\frac34|G|$, find an abelian subgroup of index 2

Published on 15 Apr 2026 - 10:21

List Question

Sigma and Pi Chemistry/Math Permutation Question

Unique order $d$ subgroup of $\Bbb Z/n\Bbb Z$ if $d\mid n$

Sylow $p$-groups in $GL_3(\Bbb F_p)$

Automorphism group of finite $p$-groups

Trying to find an isomorphism

Questions about Sylow $p$-groups

$G$ a finite group with two non-trivial normal subgroups. $|G| = pq$. Why is $G$ cyclic?

Regarding the general method of the ''Classify groups of order $X$'' question.

Order of $\mathrm{SL}(n,\mathbb{F}_p)$ (Constructive proof)

order of an element in a modulo group under multiplication

If $G$ is a non-abelian group of order 10, prove that $G$ has five elements of order 2.

Finite group of order $mn$ with $m,n$ coprime

possible cyclic group from fundamental theorem of finite abelian

If $|G|=p^3q^2$ then $\Phi(G)$ is cyclic for primes $p\neq q$.

$\{g\in G\mid\alpha(g)=g^{-1}\}=\frac34|G|$, find an abelian subgroup of index 2

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