Question

Does there exist an element of order 4 in a finite ring with characteristic 2?

score 112 · Answer 1 · 2019-01-01 07:45:02

112

Views

Does there exist an element of order 4 in a finite ring with characteristic 2?

Published on 01 Jan 2019 - 7:45

score 706 · Answer 2 · 2026-03-25 01:36:20

706

Views

On automorphisms of groups which extend as automorphisms to every larger group

Published on 25 Mar 2026 - 1:36

score 352 · Answer 3 · 2026-03-27 08:47:08

352

Views

Finite Engel group is nilpotent.

Published on 27 Mar 2026 - 8:47

score 1.1k · Answer 4 · 2019-01-03 15:28:50

1.1k

Views

Finite difference - Explicit / Implicit / Crank Nicolson - Does the implicit method require the least memory?

Published on 03 Jan 2019 - 15:28

score 216 · Answer 5 · 2026-03-25 08:07:39

216

Views

Let $G$ be a non-abelian finite $p$-group, do we have $Z(G) \leq \Phi(G)$ in general?

Published on 25 Mar 2026 - 8:07

score 775 · Answer 6 · 2019-01-04 02:51:24

775

Views

$f: G \to \mathbb{C}^*$ is a homomorphism. Show that the sum $\sum f (g) = 0$ or $n$

Published on 04 Jan 2019 - 2:51

score 41 · Answer 7 · 2019-01-04 07:48:01

41

Views

Root of polynomial in $\mathbb{Z}_{13}$

Published on 04 Jan 2019 - 7:48

score 115 · Answer 8 · 2019-01-04 08:01:03

115

Views

$(a,b)=1$ $\iff~\Bbb Z_a\times\Bbb Z_b$ is cyclic

Published on 04 Jan 2019 - 8:01

score 2.8k · Answer 9 · 2026-03-26 10:45:11

2.8k

Views

Classification of abelian groups of order 72, and subgroups of order 4

Published on 26 Mar 2026 - 10:45

score 58 · Answer 10 · 2026-03-26 12:05:50

58

Views

Is this true for about abelian generating sets?

Published on 26 Mar 2026 - 12:05

score 65 · Answer 11 · 2026-03-27 12:28:57

65

Views

If $|G|=p^2$, $p$ prime and $G$ is not cyslic $G\cong \Bbb Z/p\Bbb Z\times \Bbb Z/p\Bbb Z $

Published on 27 Mar 2026 - 12:28

score 443 · Answer 12 · 2026-03-28 08:46:17

443

Views

Is there a group with $2$ generators having exactly $17$ subgroups of index three?

Published on 28 Mar 2026 - 8:46

score 88 · Answer 13 · 2026-03-25 21:48:15

88

Views

Complement space of a finite dimensional space over a finite field

Published on 25 Mar 2026 - 21:48

score 190 · Answer 14 · 2026-03-26 09:47:39

190

Views

cardinal of conjugacy class of $(123)(456)$ in $A_7$

Published on 26 Mar 2026 - 9:47

score 175 · Answer 15 · 2026-03-28 01:07:30

175

Views

"Natural" occurences of finite nonabelian groups (outside of group theory)

Published on 28 Mar 2026 - 1:07

List Question

Does there exist an element of order 4 in a finite ring with characteristic 2?

On automorphisms of groups which extend as automorphisms to every larger group

Finite Engel group is nilpotent.

Finite difference - Explicit / Implicit / Crank Nicolson - Does the implicit method require the least memory?

Let $G$ be a non-abelian finite $p$-group, do we have $Z(G) \leq \Phi(G)$ in general?

$f: G \to \mathbb{C}^*$ is a homomorphism. Show that the sum $\sum f (g) = 0$ or $n$

Root of polynomial in $\mathbb{Z}_{13}$

$(a,b)=1$ $\iff~\Bbb Z_a\times\Bbb Z_b$ is cyclic

Classification of abelian groups of order 72, and subgroups of order 4

Is this true for about abelian generating sets?

If $|G|=p^2$, $p$ prime and $G$ is not cyslic $G\cong \Bbb Z/p\Bbb Z\times \Bbb Z/p\Bbb Z $

Is there a group with $2$ generators having exactly $17$ subgroups of index three?

Complement space of a finite dimensional space over a finite field

cardinal of conjugacy class of $(123)(456)$ in $A_7$

"Natural" occurences of finite nonabelian groups (outside of group theory)

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