Question

Does $x^p=x$ for any finite field with characteristic $p$?

score 1.5k · Answer 1 · 2018-04-15 01:47:20

1.5k

Views

Does $x^p=x$ for any finite field with characteristic $p$?

Published on 15 Apr 2018 - 1:47

score 150 · Answer 2 · 2018-04-15 17:16:30

150

Views

Tower of subgroups for a finite $2$-group

Published on 15 Apr 2018 - 17:16

score 111 · Answer 3 · 2026-03-25 08:04:54

111

Views

In seek of a (counter)example

Published on 25 Mar 2026 - 8:04

score 1.1k · Answer 4 · 2018-04-16 18:28:14

1.1k

Views

Homomorphism from $S_n$ to an abelian group

Published on 16 Apr 2018 - 18:28

score 50 · Answer 5 · 2026-03-25 19:10:29

50

Views

How do I prove that the subset of unfixed transpositions from $A_4$ is normal to $A_4$?

Published on 25 Mar 2026 - 19:10

score 68 · Answer 6 · 2026-03-25 04:19:29

68

Views

Presentation of group $(\mathbb{Z}_p\times \mathbb{Z}_p )\rtimes \mathbb{Z}_p$ for odd prime $p.$

Published on 25 Mar 2026 - 4:19

score 3.3k · Answer 7 · 2026-03-25 12:28:26

3.3k

Views

Number of elements in conjugacy class of S6 of cycle type [1,2,3]

Published on 25 Mar 2026 - 12:28

score 48 · Answer 8 · 2026-03-25 22:30:49

48

Views

Elementary counterexample of 'Given $G$ group, $p | |G|$, there exists $H \leq G$ with$ [H:G] = p$?

Published on 25 Mar 2026 - 22:30

score 43 · Answer 9 · 2026-03-24 22:12:45

43

Views

Why do the integers modulo a composite positive number never form a simple group under addition?

Published on 24 Mar 2026 - 22:12

score 82 · Answer 10 · 2026-03-25 11:04:32

82

Views

Order of an arbitrary (finite) product of subgroups $|N_1\cdots N_k|$

Published on 25 Mar 2026 - 11:04

score 60 · Answer 11 · 2018-04-18 14:04:11

60

Views

Properties of finite group and their subgroup.

Published on 18 Apr 2018 - 14:04

score 45 · Answer 12 · 2026-03-17 22:49:40

45

Views

Relation between homomorphisms and monomorphims of finite groups

Published on 17 Mar 2026 - 22:49

score 22 · Answer 13 · 2018-04-19 00:23:04

22

Views

Two groups acting iteratively on one space

Published on 19 Apr 2018 - 0:23

score 763 · Answer 14 · 2018-04-19 19:11:06

763

Views

Describe the following group: $\mathbb{Z_{60}^x}$, as a direct product of cyclic groups of prime power order

Published on 19 Apr 2018 - 19:11

score 197 · Answer 15 · 2026-03-24 20:36:54

197

Views

Structure of finite commutative semigroup generated by two element.

Published on 24 Mar 2026 - 20:36

List Question

Does $x^p=x$ for any finite field with characteristic $p$?

Tower of subgroups for a finite $2$-group

In seek of a (counter)example

Homomorphism from $S_n$ to an abelian group

How do I prove that the subset of unfixed transpositions from $A_4$ is normal to $A_4$?

Presentation of group $(\mathbb{Z}_p\times \mathbb{Z}_p )\rtimes \mathbb{Z}_p$ for odd prime $p.$

Number of elements in conjugacy class of S6 of cycle type [1,2,3]

Elementary counterexample of 'Given $G$ group, $p | |G|$, there exists $H \leq G$ with$ [H:G] = p$?

Why do the integers modulo a composite positive number never form a simple group under addition?

Order of an arbitrary (finite) product of subgroups $|N_1\cdots N_k|$

Properties of finite group and their subgroup.

Relation between homomorphisms and monomorphims of finite groups

Two groups acting iteratively on one space

Describe the following group: $\mathbb{Z_{60}^x}$, as a direct product of cyclic groups of prime power order

Structure of finite commutative semigroup generated by two element.

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