Question

Cyclic sub-spaces, polynomials proof

score 199 · Answer 1 · 2015-03-10 14:50:58

199

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Cyclic sub-spaces, polynomials proof

Published on 10 Mar 2015 - 14:50

score 2.3k · Answer 2 · 2015-03-12 18:36:44

2.3k

Views

List all the elements of order 3 in the group $\mathbb{Z_{18}}$

Published on 12 Mar 2015 - 18:36

score 1.2k · Answer 3 · 2026-03-26 22:16:14

1.2k

Views

Let G be an infinite cyclic group. Prove that G cannot have any non-identity elements of finite order.

Published on 26 Mar 2026 - 22:16

score 122 · Answer 4 · 2026-03-27 04:24:13

122

Views

Group Theory - Cyclic Groups & Direct Product

Published on 27 Mar 2026 - 4:24

score 117 · Answer 5 · 2026-03-30 12:25:27

117

Views

How to tell if a directed graph has a cycle?

Published on 30 Mar 2026 - 12:25

score 16.9k · Answer 6 · 2026-04-01 05:17:17

16.9k

Views

Are there any Symmetric Groups that are cyclic?

Published on 01 Apr 2026 - 5:17

score 143 · Answer 7 · 2015-03-19 20:42:54

143

Views

Finding subgroups of order $4$ of $\mathbb{Z}_2\times\mathbb{Z}_4$

Published on 19 Mar 2015 - 20:42

score 399 · Answer 8 · 2015-03-22 08:35:45

399

Views

prove that a is of order m if and only if $a^m = e$ and $a^k $is not $e$ for all $0 < k < m$.

Published on 22 Mar 2015 - 8:35

score 62 · Answer 9 · 2015-03-24 18:48:57

62

Views

Is $A_n$ isomorphic to $C_n$ in general

Published on 24 Mar 2015 - 18:48

score 1.1k · Answer 10 · 2015-04-01 06:48:35

1.1k

Views

How do I prove that there exists a cyclic subgroup of order lcm of orders of cyclic subgrpups of an abelian group?

Published on 01 Apr 2015 - 6:48

score 88 · Answer 11 · 2015-04-02 03:34:54

88

Views

How many cycles $A$ and $B$ can form this cycle

Published on 02 Apr 2015 - 3:34

score 6.1k · Answer 12 · 2026-03-26 12:53:40

6.1k

Views

In a group $G$ where $\exists!$ nontrivial, proper subgroup, show that $G$ is cyclic and $\lvert G\rvert=p^2$, for $p$ prime.

Published on 26 Mar 2026 - 12:53

score 40 · Answer 13 · 2026-04-01 05:20:05

40

Views

Multiple maximal cyclic subgroups of a symmetry group

Published on 01 Apr 2026 - 5:20

score 37 · Answer 14 · 2015-04-06 01:15:54

37

Views

Do Equal Sets Have the Same Enumerations?

Published on 06 Apr 2015 - 1:15

score 296 · Answer 15 · 2015-04-07 03:59:47

296

Views

Generating elements of large group of units of a field.

Published on 07 Apr 2015 - 3:59

List Question

Cyclic sub-spaces, polynomials proof

List all the elements of order 3 in the group $\mathbb{Z_{18}}$

Let G be an infinite cyclic group. Prove that G cannot have any non-identity elements of finite order.

Group Theory - Cyclic Groups & Direct Product

How to tell if a directed graph has a cycle?

Are there any Symmetric Groups that are cyclic?

Finding subgroups of order $4$ of $\mathbb{Z}_2\times\mathbb{Z}_4$

prove that a is of order m if and only if $a^m = e$ and $a^k $is not $e$ for all $0 < k < m$.

Is $A_n$ isomorphic to $C_n$ in general

How do I prove that there exists a cyclic subgroup of order lcm of orders of cyclic subgrpups of an abelian group?

How many cycles $A$ and $B$ can form this cycle

In a group $G$ where $\exists!$ nontrivial, proper subgroup, show that $G$ is cyclic and $\lvert G\rvert=p^2$, for $p$ prime.

Multiple maximal cyclic subgroups of a symmetry group

Do Equal Sets Have the Same Enumerations?

Generating elements of large group of units of a field.

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