List questions from nilpotent-groups

Published on 16 Apr 2019 - 19:58

213

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Intersection of a nested sequence of subgroups

Published on 17 Apr 2019 - 16:21

80

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Growth rate of free nilpotent group of rank $r$ and nilpotency index $s$.

Published on 19 Mar 2026 - 8:17

175

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Nilpotency class of Frattini subgroup and group order

Published on 25 Mar 2026 - 3:01

44

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On the nilpotency class of a certain subgroup

Published on 05 May 2019 - 10:45

100

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Basic theorem for solvable groups not true for nilpotent groups - counterexample.

Published on 25 Mar 2026 - 4:44

94

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A polynomial algorithm to determine whether a finite group is nilpotent

Published on 24 May 2019 - 18:14

43

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Reduce completion time of projects with constraints

Published on 28 May 2019 - 15:18

93

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Are Triangle Groups virtually nilpotent?

Published on 10 Jun 2019 - 7:46

65

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Question regarding writing a group of order $p^2qr$ using notations

Published on 11 Jun 2019 - 8:56

355

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Let $G$ be a nilpotent group generated by a finite set of torsion (i.e. finite order) elements. Show that $G$ is finite.

Published on 12 Jun 2019 - 20:58

87

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Proving that a quotient is virtually a nilpotent group

Published on 13 Jun 2019 - 13:53

184

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Commutator power lying in commutator subgroup

Published on 21 Jun 2019 - 9:52

279

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Are all nilpotent groups hamiltonian?

Published on 25 Jun 2019 - 9:11

1.8k

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Commutator subgroup of Heisenberg group.

Published on 22 Mar 2026 - 2:57

List Question

Index of $G^n$ in $G$, an $s$-step nilpotent group of rank $\leq r$

Intersection of a nested sequence of subgroups

Growth rate of free nilpotent group of rank $r$ and nilpotency index $s$.

Nilpotency class of Frattini subgroup and group order

On the nilpotency class of a certain subgroup

Basic theorem for solvable groups not true for nilpotent groups - counterexample.

A polynomial algorithm to determine whether a finite group is nilpotent

Reduce completion time of projects with constraints

Are Triangle Groups virtually nilpotent?

Question regarding writing a group of order $p^2qr$ using notations

Let $G$ be a nilpotent group generated by a finite set of torsion (i.e. finite order) elements. Show that $G$ is finite.

Proving that a quotient is virtually a nilpotent group

Commutator power lying in commutator subgroup

Are all nilpotent groups hamiltonian?

Commutator subgroup of Heisenberg group.

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