Question

Almost nilpotent groups of hyperbolic isometries are cyclic

score 96 · Answer 1 · 2026-04-10 15:11:09

96

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Almost nilpotent groups of hyperbolic isometries are cyclic

Published on 10 Apr 2026 - 15:11

score 248 · Answer 2 · 2026-04-14 13:57:02

248

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Relationship between the center and commutator subgroup of a group of nilpotency class 3

Published on 14 Apr 2026 - 13:57

score 111 · Answer 3 · 2026-04-17 08:00:58

111

Views

$G$ is nilpotent iff $[N,G]<N$ for every nontrivial normal subgroup of $G$.

Published on 17 Apr 2026 - 8:00

score 187 · Answer 4 · 2026-03-25 13:56:18

187

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If $G$ is a finite group such that every maximal subgroup is nilpotent, are any two maximal subgroups of $G$ conjugate?

Published on 25 Mar 2026 - 13:56

score 81 · Answer 5 · 2026-04-13 03:59:52

81

Views

How to show that $G$ is nilpotent based on these conditions

Published on 13 Apr 2026 - 3:59

score 1.7k · Answer 6 · 2026-04-15 21:42:30

1.7k

Views

Number of conjugacy classes of a group of order $5^4$ whose center is $25$ order

Published on 15 Apr 2026 - 21:42

score 313 · Answer 7 · 2026-04-12 03:21:29

313

Views

Is every simply-connected nilpotent Lie group algebraic?

Published on 12 Apr 2026 - 3:21

score 99 · Answer 8 · 2026-04-15 18:20:29

99

Views

Let $G$ a nilpotent group such that $10$ divides $|G|$. It is true that $G$ has element of order $10$?

Published on 15 Apr 2026 - 18:20

score 738 · Answer 9 · 2026-04-09 13:09:25

738

Views

Intuition behind Definition of Nilpotent Groups

Published on 09 Apr 2026 - 13:09

score 319 · Answer 10 · 2026-04-14 02:14:37

319

Views

About nilpotent groups of orders $1$ to $59$ up to isomorphism

Published on 14 Apr 2026 - 2:14

score 99 · Answer 11 · 2026-04-14 15:39:48

99

Views

Recursive expression for $\Lambda(n)$: number of nilpotent groups of order $n < \infty$

Published on 14 Apr 2026 - 15:39

score 665 · Answer 12 · 2026-04-13 01:39:07

665

Views

Show that these two definitions of a nilpotent group are equivalent.

Published on 13 Apr 2026 - 1:39

score 873 · Answer 13 · 2026-03-25 23:51:43

873

Views

How to find minimal generating sets efficiently?

Published on 25 Mar 2026 - 23:51

score 494 · Answer 14 · 2026-04-11 00:21:23

494

Views

An explicit representation of a free nilpotent group by unitriangular matrices

Published on 11 Apr 2026 - 0:21

score 502 · Answer 15 · 2026-04-09 00:42:32

502

Views

Why Nilpotent Matrix is not Null matrix always?

Published on 09 Apr 2026 - 0:42

List Question

Almost nilpotent groups of hyperbolic isometries are cyclic

Relationship between the center and commutator subgroup of a group of nilpotency class 3

$G$ is nilpotent iff $[N,G]<N$ for every nontrivial normal subgroup of $G$.

If $G$ is a finite group such that every maximal subgroup is nilpotent, are any two maximal subgroups of $G$ conjugate?

How to show that $G$ is nilpotent based on these conditions

Number of conjugacy classes of a group of order $5^4$ whose center is $25$ order

Is every simply-connected nilpotent Lie group algebraic?

Let $G$ a nilpotent group such that $10$ divides $|G|$. It is true that $G$ has element of order $10$?

Intuition behind Definition of Nilpotent Groups

About nilpotent groups of orders $1$ to $59$ up to isomorphism

Recursive expression for $\Lambda(n)$: number of nilpotent groups of order $n < \infty$

Show that these two definitions of a nilpotent group are equivalent.

How to find minimal generating sets efficiently?

An explicit representation of a free nilpotent group by unitriangular matrices

Why Nilpotent Matrix is not Null matrix always?

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