Question

What is the order of the element $10 \in (\mathbb Z/p \mathbb Z)^*$?

score 459 · Answer 1 · 2026-03-27 17:04:29

459

Views

What is the order of the element $10 \in (\mathbb Z/p \mathbb Z)^*$?

Published on 27 Mar 2026 - 17:04

score 61 · Answer 2 · 2026-03-25 10:58:56

61

Views

A finite group $G$ and fixed $k\geq 1$ where for every $n\geq 1$, the $n$-direct product $G^n=G\times\dots\times G$ is $k$-generated?

Published on 25 Mar 2026 - 10:58

score 1.1k · Answer 3 · 2026-03-30 02:11:37

1.1k

Views

direct sum of representation of product groups

Published on 30 Mar 2026 - 2:11

score 48 · Answer 4 · 2019-03-09 14:26:29

48

Views

Diagonalisability of a certain matrix

Published on 09 Mar 2019 - 14:26

score 50 · Answer 5 · 2026-03-26 02:57:45

50

Views

Show that if $y$ has finite order, then $x^ny=yx^n$ for some $n\in\Bbb{N}^{\ast}$ and all $x$.

Published on 26 Mar 2026 - 2:57

score 93 · Answer 6 · 2019-03-09 17:57:50

93

Views

Show that $n$ is a prime number

Published on 09 Mar 2019 - 17:57

score 165 · Answer 7 · 2019-03-09 20:11:40

165

Views

Is there a function such that $f(xyz)=f(x)f(y)f(z)$, for any $x,y,z\in G$ but $f$ is not an endomorphism?

Published on 09 Mar 2019 - 20:11

score 788 · Answer 8 · 2019-03-10 02:45:02

788

Views

If $G$ is a finite group and all non-identity elements of $G$ are order 2 then the product of these elements is the identity.

Published on 10 Mar 2019 - 2:45

score 64 · Answer 9 · 2019-03-10 07:02:21

64

Views

Permutation Generated by Powers of Generator in (Z/pZ)*

Published on 10 Mar 2019 - 7:02

score 46 · Answer 10 · 2026-03-30 13:39:28

46

Views

Prove that $G_2=\{B_1,B_2,...,B_p\}$ is a multiplicative group isomorphic with $G_1=\{A_1,A_2,...,A_p\}$

Published on 30 Mar 2026 - 13:39

score 106 · Answer 11 · 2019-03-10 09:34:03

106

Views

The cardinality of the minimal generating set of $G = \mathbb{Z}_2^m$ is $\log_2 |G|$

Published on 10 Mar 2019 - 9:34

score 67 · Answer 12 · 2026-03-30 17:38:36

67

Views

How do I prove that $\mathbb{Z}_n^*$ is a group?

Published on 30 Mar 2026 - 17:38

score 179 · Answer 13 · 2019-03-10 17:12:27

179

Views

Order of a sixth root in group G

Published on 10 Mar 2019 - 17:12

score 54 · Answer 14 · 2026-03-25 03:02:20

54

Views

A question about Frattini subgroup of specific form v2.0

Published on 25 Mar 2026 - 3:02

score 573 · Answer 15 · 2026-03-26 18:56:51

573

Views

finite abelian groups tensor product.

Published on 26 Mar 2026 - 18:56

List Question

What is the order of the element $10 \in (\mathbb Z/p \mathbb Z)^*$?

A finite group $G$ and fixed $k\geq 1$ where for every $n\geq 1$, the $n$-direct product $G^n=G\times\dots\times G$ is $k$-generated?

direct sum of representation of product groups

Diagonalisability of a certain matrix

Show that if $y$ has finite order, then $x^ny=yx^n$ for some $n\in\Bbb{N}^{\ast}$ and all $x$.

Show that $n$ is a prime number

Is there a function such that $f(xyz)=f(x)f(y)f(z)$, for any $x,y,z\in G$ but $f$ is not an endomorphism?

If $G$ is a finite group and all non-identity elements of $G$ are order 2 then the product of these elements is the identity.

Permutation Generated by Powers of Generator in (Z/pZ)*

Prove that $G_2=\{B_1,B_2,...,B_p\}$ is a multiplicative group isomorphic with $G_1=\{A_1,A_2,...,A_p\}$

The cardinality of the minimal generating set of $G = \mathbb{Z}_2^m$ is $\log_2 |G|$

How do I prove that $\mathbb{Z}_n^*$ is a group?

Order of a sixth root in group G

A question about Frattini subgroup of specific form v2.0

finite abelian groups tensor product.

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