Question

Can a non-trivial subgroup have negative elements

score 143 · Answer 1 · 2019-08-25 06:50:26

143

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Can a non-trivial subgroup have negative elements

Published on 25 Aug 2019 - 6:50

score 107 · Answer 2 · 2019-08-26 02:55:07

107

Views

Computing the discrete log in cyclic group G

Published on 26 Aug 2019 - 2:55

score 390 · Answer 3 · 2026-03-25 17:42:28

390

Views

If I kill any element $g$ of a group $G$ and as a result $G/\langle\langle g\rangle\rangle$ is killed, is $G$ then cyclic?

Published on 25 Mar 2026 - 17:42

score 122 · Answer 4 · 2026-03-27 14:52:49

122

Views

Showing $\{g \in G: g^n=1\}$ is a cyclic subgroup of cyclic $G$ of order $n$ for $|G|=nk, k\in\Bbb N$.

Published on 27 Mar 2026 - 14:52

score 65 · Answer 5 · 2019-09-01 09:46:31

65

Views

Question on primary assumption in this proof that every multiplicative group of finite field is cyclic.

Published on 01 Sep 2019 - 9:46

score 27 · Answer 6 · 2019-09-04 04:22:20

27

Views

Will some integer power of $exp(\frac{a2i\pi}{p^n})$ generate $exp(\frac{b2i\pi}{p^m})$ if m is large enough?

Published on 04 Sep 2019 - 4:22

score 44 · Answer 7 · 2026-03-25 16:02:22

44

Views

Does there exist a measure on an infinite cyclic group that assigns each coset its natural density?

Published on 25 Mar 2026 - 16:02

score 1.3k · Answer 8 · 2026-03-27 04:18:43

1.3k

Views

Show that homomorphisms from Z to any group G is in bijection with elements of G

Published on 27 Mar 2026 - 4:18

score 85 · Answer 9 · 2026-03-27 21:55:47

85

Views

Show that $G$ = $(\mathbb Z_3 × \mathbb Z_4, +)$ is cyclic

Published on 27 Mar 2026 - 21:55

score 238 · Answer 10 · 2026-03-25 07:48:19

238

Views

Free normal subgroup of an HNN-extension

Published on 25 Mar 2026 - 7:48

score 510 · Answer 11 · 2019-09-23 18:00:34

510

Views

The structure of the unit circle in the plane $F^2$, where $F$ is a finite field with odd characteristic.

Published on 23 Sep 2019 - 18:00

score 3.1k · Answer 12 · 2026-03-25 17:24:44

3.1k

Views

How can I find cyclic subgroups of $S_3$?

Published on 25 Mar 2026 - 17:24

score 27 · Answer 13 · 2019-09-25 15:25:09

27

Views

Prove that the sequence $u_i$ is periodic or the linear relation is trivial?

Published on 25 Sep 2019 - 15:25

score 1.1k · Answer 14 · 2019-09-26 10:25:27

1.1k

Views

Let $C_n$ be a cyclic group. Show that $C_6 ≅ C_3 × C_2$.

Published on 26 Sep 2019 - 10:25

score 127 · Answer 15 · 2026-03-25 07:43:05

127

Views

Applications of Finding the Order of a Rubik's Cube Algorithm

Published on 25 Mar 2026 - 7:43

List Question

Can a non-trivial subgroup have negative elements

Computing the discrete log in cyclic group G

If I kill any element $g$ of a group $G$ and as a result $G/\langle\langle g\rangle\rangle$ is killed, is $G$ then cyclic?

Showing $\{g \in G: g^n=1\}$ is a cyclic subgroup of cyclic $G$ of order $n$ for $|G|=nk, k\in\Bbb N$.

Question on primary assumption in this proof that every multiplicative group of finite field is cyclic.

Will some integer power of $exp(\frac{a2i\pi}{p^n})$ generate $exp(\frac{b2i\pi}{p^m})$ if m is large enough?

Does there exist a measure on an infinite cyclic group that assigns each coset its natural density?

Show that homomorphisms from Z to any group G is in bijection with elements of G

Show that $G$ = $(\mathbb Z_3 × \mathbb Z_4, +)$ is cyclic

Free normal subgroup of an HNN-extension

The structure of the unit circle in the plane $F^2$, where $F$ is a finite field with odd characteristic.

How can I find cyclic subgroups of $S_3$?

Prove that the sequence $u_i$ is periodic or the linear relation is trivial?

Let $C_n$ be a cyclic group. Show that $C_6 ≅ C_3 × C_2$.

Applications of Finding the Order of a Rubik's Cube Algorithm

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