Question

For $n\le4$ is the alternating group $A_n$ simple?

score 455 · Answer 1 · 2026-03-26 22:52:29

455

Views

For $n\le4$ is the alternating group $A_n$ simple?

Published on 26 Mar 2026 - 22:52

score 158 · Answer 2 · 2026-03-25 05:01:32

158

Views

Centralizer of Sylow $p$-subgroups for nonabelian finite simple groups

Published on 25 Mar 2026 - 5:01

score 89 · Answer 3 · 2026-03-25 23:38:21

89

Views

Lower bounds on the number of subgroups of a specific group

Published on 25 Mar 2026 - 23:38

score 52 · Answer 4 · 2026-03-25 17:18:17

52

Views

Structure of сonjugacy subgroup intersection graph

Published on 25 Mar 2026 - 17:18

score 129 · Answer 5 · 2019-06-09 21:52:58

129

Views

Number of distinct ways of writing elements in HK as hk.

Published on 09 Jun 2019 - 21:52

score 44 · Answer 6 · 2026-03-25 06:03:45

44

Views

Is every non-simple finite group constructible from simple groups of lesser order by extensions?

Published on 25 Mar 2026 - 6:03

score 66 · Answer 7 · 2026-03-25 07:43:52

66

Views

Question regarding writing a group of order $p^2qr$ using notations

Published on 25 Mar 2026 - 7:43

score 527 · Answer 8 · 2026-03-30 03:37:54

527

Views

Fourier Inversion Theorem and Plancherel's Identity in the context of Representations

Published on 30 Mar 2026 - 3:37

score 229 · Answer 9 · 2019-06-11 17:58:58

229

Views

Is every group element decomposable into a product of elements of order $2$?

Published on 11 Jun 2019 - 17:58

score 360 · Answer 10 · 2026-03-27 02:38:13

360

Views

Normalizer of group action

Published on 27 Mar 2026 - 2:38

score 661 · Answer 11 · 2019-06-12 15:55:09

661

Views

Show that the map $f(a)=a^2$ is an isomorphism of groups from G to itself.

Published on 12 Jun 2019 - 15:55

score 45 · Answer 12 · 2019-06-12 16:49:09

45

Views

Determining automorphisms for semidirect product

Published on 12 Jun 2019 - 16:49

score 356 · Answer 13 · 2026-03-25 07:45:57

356

Views

Let $G$ be a nilpotent group generated by a finite set of torsion (i.e. finite order) elements. Show that $G$ is finite.

Published on 25 Mar 2026 - 7:45

score 50 · Answer 14 · 2026-04-02 04:58:48

50

Views

Efficient algorithm to determine if word vanishes on group?

Published on 02 Apr 2026 - 4:58

score 72 · Answer 15 · 2019-06-14 07:17:17

72

Views

let $G$ is group,that for all $n \in\mathbb{N}$, it has exactly $\phi(n)$ elements of order $n$. Then Every finite subgroup of $G$ is cyclic.

Published on 14 Jun 2019 - 7:17

List Question

For $n\le4$ is the alternating group $A_n$ simple?

Centralizer of Sylow $p$-subgroups for nonabelian finite simple groups

Lower bounds on the number of subgroups of a specific group

Structure of сonjugacy subgroup intersection graph

Number of distinct ways of writing elements in HK as hk.

Is every non-simple finite group constructible from simple groups of lesser order by extensions?

Question regarding writing a group of order $p^2qr$ using notations

Fourier Inversion Theorem and Plancherel's Identity in the context of Representations

Is every group element decomposable into a product of elements of order $2$?

Normalizer of group action

Show that the map $f(a)=a^2$ is an isomorphism of groups from G to itself.

Determining automorphisms for semidirect product

Let $G$ be a nilpotent group generated by a finite set of torsion (i.e. finite order) elements. Show that $G$ is finite.

Efficient algorithm to determine if word vanishes on group?

let $G$ is group,that for all $n \in\mathbb{N}$, it has exactly $\phi(n)$ elements of order $n$. Then Every finite subgroup of $G$ is cyclic.

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