Question

Find a cyclic group in size 6 in $S_5$

score 36 · Answer 1 · 2016-12-31 12:17:40

36

Views

Find a cyclic group in size 6 in $S_5$

Published on 31 Dec 2016 - 12:17

score 41 · Answer 2 · 2017-01-03 03:15:24

41

Views

Proving the additive inverse is a generator of $(\mathbb{Z}/p\mathbb{Z})^{\times}$

Published on 03 Jan 2017 - 3:15

score 44.2k · Answer 3 · 2017-01-03 20:09:13

44.2k

Views

How do I find all all the subgroups of a group?

Published on 03 Jan 2017 - 20:09

score 86 · Answer 4 · 2017-01-07 13:58:03

86

Views

How do we determine set of all automorphisms of an infinte cyclic group?

Published on 07 Jan 2017 - 13:58

score 2k · Answer 5 · 2026-03-28 01:48:47

2k

Views

Why are all finite subgroups of the group $S^1$ of complex roots of unity cyclic?

Published on 28 Mar 2026 - 1:48

score 80 · Answer 6 · 2026-03-29 19:17:38

80

Views

Proof that for a homomorphism $\phi$ and generator of a finite group $a$, $\phi(a^{-n}) = \phi(a^n)^{-1}$

Published on 29 Mar 2026 - 19:17

score 855 · Answer 7 · 2026-03-28 06:09:15

855

Views

Proof that the Euler phi function is multiplicative using cyclic group argument

Published on 28 Mar 2026 - 6:09

score 8.8k · Answer 8 · 2017-01-21 11:50:30

8.8k

Views

$ (\mathbb{Z}, +) $ is a cyclic group. But who generates $0$ (zero) element?

Published on 21 Jan 2017 - 11:50

score 113 · Answer 9 · 2017-01-22 03:49:34

113

Views

Prove or disprove that $\exists a,b,c\in\mathbb{Z}_+\ \forall n\in\mathbb{Z}_+\ \exists k\in\mathbb{Z}_+\colon\ a^k+b^k+c^k = 0(\mathrm{mod}\ 2^n)$

Published on 22 Jan 2017 - 3:49

score 286 · Answer 10 · 2017-01-22 19:23:03

286

Views

If $G = C_{25}\times C_{45}\times C_{48}\times C_{150}$, where $C_n$ denotes a cyclic group of order $n$, how many elements of order 5 does $G$ have?

Published on 22 Jan 2017 - 19:23

score 634 · Answer 11 · 2017-01-24 03:08:25

634

Views

Let G be a non trivial group with no non trivial proper subgroup. Prove that G is a group of prime order.

Published on 24 Jan 2017 - 3:08

score 41 · Answer 12 · 2017-01-24 04:58:56

41

Views

Investigation of a cyclic group

Published on 24 Jan 2017 - 4:58

score 329 · Answer 13 · 2017-01-25 00:23:05

329

Views

Extending automorphisms on cyclic subgroups

Published on 25 Jan 2017 - 0:23

score 1.3k · Answer 14 · 2026-03-25 12:50:52

1.3k

Views

Why is the abelian group of points on an elliptic curve over a finite field isomorphic to the product of at most two cyclic groups?

Published on 25 Mar 2026 - 12:50

score 55 · Answer 15 · 2026-03-26 19:35:55

55

Views

A random walk with cyclic groups

Published on 26 Mar 2026 - 19:35

List Question

Find a cyclic group in size 6 in $S_5$

Proving the additive inverse is a generator of $(\mathbb{Z}/p\mathbb{Z})^{\times}$

How do I find all all the subgroups of a group?

How do we determine set of all automorphisms of an infinte cyclic group?

Why are all finite subgroups of the group $S^1$ of complex roots of unity cyclic?

Proof that for a homomorphism $\phi$ and generator of a finite group $a$, $\phi(a^{-n}) = \phi(a^n)^{-1}$

Proof that the Euler phi function is multiplicative using cyclic group argument

$ (\mathbb{Z}, +) $ is a cyclic group. But who generates $0$ (zero) element?

Prove or disprove that $\exists a,b,c\in\mathbb{Z}_+\ \forall n\in\mathbb{Z}_+\ \exists k\in\mathbb{Z}_+\colon\ a^k+b^k+c^k = 0(\mathrm{mod}\ 2^n)$

If $G = C_{25}\times C_{45}\times C_{48}\times C_{150}$, where $C_n$ denotes a cyclic group of order $n$, how many elements of order 5 does $G$ have?

Let G be a non trivial group with no non trivial proper subgroup. Prove that G is a group of prime order.

Investigation of a cyclic group

Extending automorphisms on cyclic subgroups

Why is the abelian group of points on an elliptic curve over a finite field isomorphic to the product of at most two cyclic groups?

A random walk with cyclic groups

Trending Questions

Popular # Hahtags

Popular Questions