Question

Which abelian groups have only a single composition series?

score 76 · Answer 1 · 2015-07-10 15:54:17

76

Views

Which abelian groups have only a single composition series?

Published on 10 Jul 2015 - 15:54

score 45 · Answer 2 · 2015-07-15 04:03:35

45

Views

Does there exist any non-trivial square matrices of dimension $n$ with power cycles of less than $n$

Published on 15 Jul 2015 - 4:03

score 74 · Answer 3 · 2015-07-15 04:16:13

74

Views

Why does the Principle of Well-Ordering imply a remainder of $0$ for the division algorithm?

Published on 15 Jul 2015 - 4:16

score 52 · Answer 4 · 2015-07-17 00:07:01

52

Views

Subgroups of the multiplicative group of a Field

Published on 17 Jul 2015 - 0:07

score 79 · Answer 5 · 2026-03-30 05:11:05

79

Views

How do I interpret "K2 mod K1"?

Published on 30 Mar 2026 - 5:11

score 3.1k · Answer 6 · 2015-08-03 17:26:36

3.1k

Views

In how many ways can the group $\mathbb Z_5$ act on the set $\{1,2,3,4,5\}$ $?$

Published on 03 Aug 2015 - 17:26

score 44 · Answer 7 · 2015-08-06 05:23:43

44

Views

Trying to prove that a group is Cyclic

Published on 06 Aug 2015 - 5:23

score 1.1k · Answer 8 · 2015-08-07 03:02:33

1.1k

Views

Show that $U(\mathbb Z_{p^n})$ is cyclic by considering the order of $1+p$

Published on 07 Aug 2015 - 3:02

score 100 · Answer 9 · 2015-08-08 07:55:03

100

Views

Cyclic subgroups and their cyclic groups

Published on 08 Aug 2015 - 7:55

score 69 · Answer 10 · 2015-08-13 22:31:44

69

Views

Let $G$ be a group and $H\le G$ and $a\in G$. which ones are always correct?

Published on 13 Aug 2015 - 22:31

score 447 · Answer 11 · 2026-03-29 07:21:09

447

Views

Prove that Euler phi function is multiplicative by a given theorem

Published on 29 Mar 2026 - 7:21

score 239 · Answer 12 · 2015-08-14 12:14:43

239

Views

Let G be an abelian group. Let V be an irreducible faithful CG-module. Prove that dimV = 1 and G is cyclic.

Published on 14 Aug 2015 - 12:14

score 1.3k · Answer 13 · 2026-03-31 17:55:03

1.3k

Views

All homomorphisms from $\Bbb{Z}$ and $\Bbb{Z}/n\Bbb{Z}$ into $(\Bbb{C},+)$, $(\Bbb{C}^{\times},\cdot)$ and $(S^1,\cdot)$.

Published on 31 Mar 2026 - 17:55

score 553 · Answer 14 · 2015-08-19 16:33:25

553

Views

Without using Cauchy's or Sylow theorems ; can we prove that every group of order $65$ is cyclic?

Published on 19 Aug 2015 - 16:33

score 38 · Answer 15 · 2026-03-26 16:06:52

38

Views

The number of cyclic subgroups

Published on 26 Mar 2026 - 16:06

List Question

Which abelian groups have only a single composition series?

Does there exist any non-trivial square matrices of dimension $n$ with power cycles of less than $n$

Why does the Principle of Well-Ordering imply a remainder of $0$ for the division algorithm?

Subgroups of the multiplicative group of a Field

How do I interpret "K2 mod K1"?

In how many ways can the group $\mathbb Z_5$ act on the set $\{1,2,3,4,5\}$ $?$

Trying to prove that a group is Cyclic

Show that $U(\mathbb Z_{p^n})$ is cyclic by considering the order of $1+p$

Cyclic subgroups and their cyclic groups

Let $G$ be a group and $H\le G$ and $a\in G$. which ones are always correct?

Prove that Euler phi function is multiplicative by a given theorem

Let G be an abelian group. Let V be an irreducible faithful CG-module. Prove that dimV = 1 and G is cyclic.

All homomorphisms from $\Bbb{Z}$ and $\Bbb{Z}/n\Bbb{Z}$ into $(\Bbb{C},+)$, $(\Bbb{C}^{\times},\cdot)$ and $(S^1,\cdot)$.

Without using Cauchy's or Sylow theorems ; can we prove that every group of order $65$ is cyclic?

The number of cyclic subgroups

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