Question

Finite Engel group is nilpotent.

score 354 · Answer 1 · 2026-04-12 05:39:17

354

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Finite Engel group is nilpotent.

Published on 12 Apr 2026 - 5:39

score 1.1k · Answer 2 · 2026-04-15 11:42:02

1.1k

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$G$ with a central series that is different from the upper and the lower central series

Published on 15 Apr 2026 - 11:42

score 75 · Answer 3 · 2026-04-16 11:51:08

75

Views

If $\operatorname{class}(G) = 2$ and $\exp(G) = 4$ then $\exp(G') = 2$?

Published on 16 Apr 2026 - 11:51

score 204 · Answer 4 · 2026-04-15 20:42:23

204

Views

$D_4 \times \mathbb{Z}_2$ different upper and lower central series

Published on 15 Apr 2026 - 20:42

score 327 · Answer 5 · 2026-03-25 04:39:41

327

Views

A question about Frattini subgroup of specific form

Published on 25 Mar 2026 - 4:39

score 30 · Answer 6 · 2026-04-12 10:48:21

30

Views

Relationship between Carnot-Caratheory Distance and Levi-Civita Connection

Published on 12 Apr 2026 - 10:48

score 85 · Answer 7 · 2026-04-13 10:52:32

Let $\zeta_{i}G$ be the upper central series of G. Why does the definition of central series imply that $H\zeta_{i}G$ is normal in $H\zeta_{i+1}G$.?

score 310 · Answer 8 · 2026-04-16 07:53:17

310

Views

Why all nilpotent and finitely generated groups are Max?

Published on 16 Apr 2026 - 7:53

score 54 · Answer 9 · 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 389 · Answer 10 · 2026-04-16 08:54:59

389

Views

Let $G$ be a $p$-group of nilpotency class at most 2, where $p$ is an odd prime. Then ${\{x^p| x \in G\}}$ is a subgroup of $G$.

Published on 16 Apr 2026 - 8:54

score 35 · Answer 11 · 2026-04-28 07:08:22

35

Views

Existence of a nilpotent subgroup $N \leq G$ of step $\leq n$ such that a finite $A$ is in $K^{O_n(1)}$ left cosets of $N$

Published on 28 Apr 2026 - 7:08

score 77 · Answer 12 · 2026-04-17 15:46:05

77

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Let $G$ be a nilpotent group prove that for each $x \in Z_2(G)$ the map $\theta_x: G \rightarrow Z(G)$ defined by $\theta_x(g)=[g,x]$ is a hom

Published on 17 Apr 2026 - 15:46

score 192 · Answer 13 · 2026-05-03 19:46:31

192

Views

Growth rate of finitely generated nilpotent groups

Published on 03 May 2026 - 19:46

score 65 · Answer 14 · 2026-04-15 21:16:19

65

Views

Finitely generated nilpotent group is isomorphic to a quotient of the free nilpotent group.

Published on 15 Apr 2026 - 21:16

score 68 · Answer 15 · 2026-04-16 16:48:26

68

Views

If $G$ is $s$-step nilpotent and $n \in \mathbb N$, then $(G_s)^{n^s} \subset (G^n)_s \subset (G_s)^n$

Published on 16 Apr 2026 - 16:48

List Question

Finite Engel group is nilpotent.

$G$ with a central series that is different from the upper and the lower central series

If $\operatorname{class}(G) = 2$ and $\exp(G) = 4$ then $\exp(G') = 2$?

$D_4 \times \mathbb{Z}_2$ different upper and lower central series

A question about Frattini subgroup of specific form

Relationship between Carnot-Caratheory Distance and Levi-Civita Connection

Let $\zeta_{i}G$ be the upper central series of G. Why does the definition of central series imply that $H\zeta_{i}G$ is normal in $H\zeta_{i+1}G$.?

Why all nilpotent and finitely generated groups are Max?

A question about Frattini subgroup of specific form v2.0

Let $G$ be a $p$-group of nilpotency class at most 2, where $p$ is an odd prime. Then ${\{x^p| x \in G\}}$ is a subgroup of $G$.

Existence of a nilpotent subgroup $N \leq G$ of step $\leq n$ such that a finite $A$ is in $K^{O_n(1)}$ left cosets of $N$

Let $G$ be a nilpotent group prove that for each $x \in Z_2(G)$ the map $\theta_x: G \rightarrow Z(G)$ defined by $\theta_x(g)=[g,x]$ is a hom

Growth rate of finitely generated nilpotent groups

Finitely generated nilpotent group is isomorphic to a quotient of the free nilpotent group.

If $G$ is $s$-step nilpotent and $n \in \mathbb N$, then $(G_s)^{n^s} \subset (G^n)_s \subset (G_s)^n$

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