Question

Why Of course such a group must be necessarily cyclic?

score 90 · Answer 1 · 2022-05-26 17:34:11

90

Views

Why Of course such a group must be necessarily cyclic?

Published on 26 May 2022 - 17:34

score 58 · Answer 2 · 2026-03-28 14:56:53

58

Views

Given the background, how to show any map onto a cyclic group of order $p$ is of this specific form?

Published on 28 Mar 2026 - 14:56

score 116 · Answer 3 · 2026-03-29 14:07:08

116

Views

If $aH$ generates $G/H$ where $G$ is cyclic, then $a$ generates $G$.

Published on 29 Mar 2026 - 14:07

score 35 · Answer 4 · 2022-06-01 13:35:33

35

Views

Finding Generating Member of Group?

Published on 01 Jun 2022 - 13:35

score 97 · Answer 5 · 2022-06-05 15:30:36

97

Views

If $G$ an abelian group with order $pq$, $(p,q) = 1$ and $a,b\in G$ with orders $p$ and $q$, is $\langle a\rangle\cap\langle b\rangle = \{e\}$?

Published on 05 Jun 2022 - 15:30

score 102 · Answer 6 · 2026-03-28 02:07:53

102

Views

Is it possible to characterize the set of $k$-periodic matrices $\in \mathbb{R} ^{n \times n}$?

Published on 28 Mar 2026 - 2:07

score 449 · Answer 7 · 2022-06-09 17:53:27

449

Views

Determine the cyclic subgroup of $(S_5,\circ)$, the symmetric group on five symbols, generated by the cycle $(1 , 3, 5 , 2, 4)$.

Published on 09 Jun 2022 - 17:53

score 71 · Answer 8 · 2026-03-28 14:55:33

71

Views

How we illustrate the Prüfer-$3$ group elements on the unit circle?

Published on 28 Mar 2026 - 14:55

score 85 · Answer 9 · 2022-06-18 11:46:36

85

Views

Help understanding proof of The Fundamental Theorem of Finite Abelian Groups.

Published on 18 Jun 2022 - 11:46

score 150 · Answer 10 · 2022-06-19 15:39:57

150

Views

Prove that every group of order $45$ is cyclic

Published on 19 Jun 2022 - 15:39

score 92 · Answer 11 · 2026-02-23 09:27:24

92

Views

A problem in group theory and representation theory.

Published on 23 Feb 2026 - 9:27

score 66 · Answer 12 · 2022-06-25 12:53:52

66

Views

Proving cyclic subgroup of a finite group is finite

Published on 25 Jun 2022 - 12:53

score 215 · Answer 13 · 2022-06-29 09:09:22

215

Views

Does order of a cyclic subgroup of a finite group divide the order of this finite group?

Published on 29 Jun 2022 - 9:09

score 65 · Answer 14 · 2022-06-29 13:29:23

65

Views

Show that there exist a cyclic normal subgroup $N$ of $G$ whose order is $255$ such that $G/N$ is cyclic

Published on 29 Jun 2022 - 13:29

score 123 · Answer 15 · 2026-04-01 12:49:12

123

Views

Why need of totient function to find generators of cyclic group $C_n$?

Published on 01 Apr 2026 - 12:49

List Question

Why Of course such a group must be necessarily cyclic?

Given the background, how to show any map onto a cyclic group of order $p$ is of this specific form?

If $aH$ generates $G/H$ where $G$ is cyclic, then $a$ generates $G$.

Finding Generating Member of Group?

If $G$ an abelian group with order $pq$, $(p,q) = 1$ and $a,b\in G$ with orders $p$ and $q$, is $\langle a\rangle\cap\langle b\rangle = \{e\}$?

Is it possible to characterize the set of $k$-periodic matrices $\in \mathbb{R} ^{n \times n}$?

Determine the cyclic subgroup of $(S_5,\circ)$, the symmetric group on five symbols, generated by the cycle $(1 , 3, 5 , 2, 4)$.

How we illustrate the Prüfer-$3$ group elements on the unit circle?

Help understanding proof of The Fundamental Theorem of Finite Abelian Groups.

Prove that every group of order $45$ is cyclic

A problem in group theory and representation theory.

Proving cyclic subgroup of a finite group is finite

Does order of a cyclic subgroup of a finite group divide the order of this finite group?

Show that there exist a cyclic normal subgroup $N$ of $G$ whose order is $255$ such that $G/N$ is cyclic

Why need of totient function to find generators of cyclic group $C_n$?

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