Question

Let G be a group of order 12. Does the group of automorphisms of G contain an element of order 5?

score 2k · Answer 1 · 2026-04-16 06:29:34

2k

Views

Let G be a group of order 12. Does the group of automorphisms of G contain an element of order 5?

Published on 16 Apr 2026 - 6:29

score 265 · Answer 2 · 2026-04-14 02:01:50

265

Views

On Dihedral group, action of cyclic group

Published on 14 Apr 2026 - 2:01

score 57 · Answer 3 · 2026-04-13 17:40:43

57

Views

Construct groups that satisfy given conditions

Published on 13 Apr 2026 - 17:40

score 99 · Answer 4 · 2026-04-15 05:27:53

99

Views

Is there any finite nonabelian simple group having nilpotent Hall $\pi$-groups with $|\pi|\geq 2$?

Published on 15 Apr 2026 - 5:27

score 683 · Answer 5 · 2026-04-13 19:04:31

683

Views

Absolute values of complex irreducible characters of finite groups

Published on 13 Apr 2026 - 19:04

score 576 · Answer 6 · 2026-04-09 06:42:24

576

Views

Let G be a finite group. Let $a,b\in G$ be two distinct elements or order 2. Prove that if $ab=ba$, then the order of G is divisible by 4.

Published on 09 Apr 2026 - 6:42

score 52 · Answer 7 · 2026-04-10 06:33:13

52

Views

Strategy for finding subgroups of the holomorph

Published on 10 Apr 2026 - 6:33

score 306 · Answer 8 · 2026-04-10 16:57:04

306

Views

Presentation of Dihedral Group

Published on 10 Apr 2026 - 16:57

score 143 · Answer 9 · 2026-04-12 08:13:21

143

Views

Subgroup of a finitely generated group

Published on 12 Apr 2026 - 8:13

score 1.6k · Answer 10 · 2026-04-16 03:58:47

1.6k

Views

Group of order 63 has subgroup of order 21

Published on 16 Apr 2026 - 3:58

score 760 · Answer 11 · 2026-04-16 21:47:05

760

Views

Let $G$ be a finite abelian group with elements $a_1,a_2,\dots,a_n$. If $G$ has more than one element of order $2$ then $a_1a_2\dots a_n=1$.

Published on 16 Apr 2026 - 21:47

score 161 · Answer 12 · 2026-04-15 13:41:53

161

Views

Compute Centralizer of $G=S_{3}$ and $a=(1,2,3)$

Published on 15 Apr 2026 - 13:41

score 1.4k · Answer 13 · 2026-04-13 08:25:10

1.4k

Views

Kernel isomorphic to cokernel in exact sequence

Published on 13 Apr 2026 - 8:25

score 592 · Answer 14 · 2026-04-13 18:34:14

592

Views

Restriction of an irreducible character to a normal subgroup

Published on 13 Apr 2026 - 18:34

score 342 · Answer 15 · 2026-04-08 01:25:47

342

Views

An Algorithm for Generating a random subgroup

Published on 08 Apr 2026 - 1:25

List Question

Let G be a group of order 12. Does the group of automorphisms of G contain an element of order 5?

On Dihedral group, action of cyclic group

Construct groups that satisfy given conditions

Is there any finite nonabelian simple group having nilpotent Hall $\pi$-groups with $|\pi|\geq 2$?

Absolute values of complex irreducible characters of finite groups

Let G be a finite group. Let $a,b\in G$ be two distinct elements or order 2. Prove that if $ab=ba$, then the order of G is divisible by 4.

Strategy for finding subgroups of the holomorph

Presentation of Dihedral Group

Subgroup of a finitely generated group

Group of order 63 has subgroup of order 21

Let $G$ be a finite abelian group with elements $a_1,a_2,\dots,a_n$. If $G$ has more than one element of order $2$ then $a_1a_2\dots a_n=1$.

Compute Centralizer of $G=S_{3}$ and $a=(1,2,3)$

Kernel isomorphic to cokernel in exact sequence

Restriction of an irreducible character to a normal subgroup

An Algorithm for Generating a random subgroup

Trending Questions

Popular # Hahtags

Popular Questions