Question

Composition series for dihedral grup of order $2pq^2$

score 307 · Answer 1 · 2026-05-10 12:53:46

307

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Composition series for dihedral grup of order $2pq^2$

Published on 10 May 2026 - 12:53

score 55 · Answer 2 · 2026-04-12 01:40:06

55

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Does there exist a nearly immaculate group not of the form $C_{2^n}$?

Published on 12 Apr 2026 - 1:40

score 126 · Answer 3 · 2026-04-11 07:10:54

126

Views

Do there exist finite non-cyclic groups $H$ and $K$, satisfying the specific condition?

Published on 11 Apr 2026 - 7:10

score 203 · Answer 4 · 2026-04-11 00:06:29

203

Views

Do there exist two finite groups $H$ and $K$, satisfying specific conditions?

Published on 11 Apr 2026 - 0:06

score 62 · Answer 5 · 2026-04-16 11:52:07

62

Views

$(ab)^p =(a^p)(b^p)$ for any two elements a,b in finite group G implies Sylow p-subgroup is unique

Published on 16 Apr 2026 - 11:52

score 1.2k · Answer 6 · 2026-04-14 20:24:46

1.2k

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G be a finite group and H be a non trivial proper subgroup of index 3, then G is not simple.

Published on 14 Apr 2026 - 20:24

score 2k · Answer 7 · 2026-04-12 08:33:59

2k

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If $H,K$ are subgroups of $G$ and $H$ is normal, show $H\cap K$ is a normal subgroup of $K$

Published on 12 Apr 2026 - 8:33

score 1.1k · Answer 8 · 2026-05-10 15:29:07

1.1k

Views

A group with finitely generated normal subgroup and finitely generated quotient is finitely generated itself

Published on 10 May 2026 - 15:29

score 1.6k · Answer 9 · 2026-04-10 08:59:51

1.6k

Views

How to prove the closure of Commutator Subgroup?

Published on 10 Apr 2026 - 8:59

score 6.5k · Answer 10 · 2026-04-14 20:32:44

6.5k

Views

$H$ is normal subgroup of $G$ iff $gHg^{-1}=H$ for every $g$ of $G$

Published on 14 Apr 2026 - 20:32

score 50 · Answer 11 · 2026-04-13 19:03:23

50

Views

A sufficient condition to a subgroup $H$ be normal in $G$.

Published on 13 Apr 2026 - 19:03

score 77 · Answer 12 · 2026-04-11 12:31:21

77

Views

Problem from Artin's Algebra

Published on 11 Apr 2026 - 12:31

score 136 · Answer 13 · 2026-04-14 06:39:59

136

Views

Is $S_{10}$ generated by the group of $6$ cycles?

Published on 14 Apr 2026 - 6:39

score 117 · Answer 14 · 2026-04-13 20:53:08

117

Views

A simple question about normal subgroups of finite groups.

Published on 13 Apr 2026 - 20:53

score 47 · Answer 15 · 2026-04-15 04:33:00

47

Views

Interplay between automorphisms of a group and an equivalence relation on subnormal subgroups

Published on 15 Apr 2026 - 4:33

List Question

Composition series for dihedral grup of order $2pq^2$

Does there exist a nearly immaculate group not of the form $C_{2^n}$?

Do there exist finite non-cyclic groups $H$ and $K$, satisfying the specific condition?

Do there exist two finite groups $H$ and $K$, satisfying specific conditions?

$(ab)^p =(a^p)(b^p)$ for any two elements a,b in finite group G implies Sylow p-subgroup is unique

G be a finite group and H be a non trivial proper subgroup of index 3, then G is not simple.

If $H,K$ are subgroups of $G$ and $H$ is normal, show $H\cap K$ is a normal subgroup of $K$

A group with finitely generated normal subgroup and finitely generated quotient is finitely generated itself

How to prove the closure of Commutator Subgroup?

$H$ is normal subgroup of $G$ iff $gHg^{-1}=H$ for every $g$ of $G$

A sufficient condition to a subgroup $H$ be normal in $G$.

Problem from Artin's Algebra

Is $S_{10}$ generated by the group of $6$ cycles?

A simple question about normal subgroups of finite groups.

Interplay between automorphisms of a group and an equivalence relation on subnormal subgroups

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