List questions from p-groups

Published on 15 Apr 2026 - 16:44

390

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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 10 May 2026 - 13:51

548

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Non-abelian Groups of Order $p^3$

Published on 13 Apr 2026 - 3:51

86

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Abelian $p$-group and proof of the existence of cyclic subgroup

Published on 13 Apr 2026 - 0:11

77

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Showing that a group of prime order is in the center of a $p$-group.

Published on 15 Apr 2026 - 2:22

57

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Either $H \triangleleft G$ or exist a conjugated subgroup $H^g \subseteq N_G (H)$, in which $g \in G$, with $H^g \neq H$.

Published on 15 Apr 2026 - 3:44

350

Views

No simple groups of given order.

Published on 10 May 2026 - 15:28

759

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Group as direct sum of cyclic groups

Published on 11 Apr 2026 - 12:07

94

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Centralizers in p-groups

Published on 14 Apr 2026 - 4:46

20

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A question to the ascending central chain in modular group algebras

Published on 14 Apr 2026 - 0:02

78

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Isomorphism problem for the center of modular group algebras

Published on 12 Apr 2026 - 15:18

61

Views

Bounding the exponent in unit groups of modular group algebras

Published on 16 Apr 2026 - 18:02

112

Views

Prove that if $G$ is a $p$-group, $p$ is prime, then $G'=[G,G] \subseteq Z(G)$

Published on 17 Apr 2026 - 7:43

615

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Proving a group of order 343 is not simple

Published on 10 May 2026 - 16:33

154

Views

Clarification on the order of an element in the Pohlig-Hellman algorithm for groups whose order is a prime power

Published on 13 Apr 2026 - 1:22

List Question

Proving this Hall algebra is commutative without Matlis duality

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 $G$.

Non-abelian Groups of Order $p^3$

Abelian $p$-group and proof of the existence of cyclic subgroup

Showing that a group of prime order is in the center of a $p$-group.

Either $H \triangleleft G$ or exist a conjugated subgroup $H^g \subseteq N_G (H)$, in which $g \in G$, with $H^g \neq H$.

No simple groups of given order.

Group as direct sum of cyclic groups

Centralizers in p-groups

A question to the ascending central chain in modular group algebras

Isomorphism problem for the center of modular group algebras

Bounding the exponent in unit groups of modular group algebras

Prove that if $G$ is a $p$-group, $p$ is prime, then $G'=[G,G] \subseteq Z(G)$

Proving a group of order 343 is not simple

Clarification on the order of an element in the Pohlig-Hellman algorithm for groups whose order is a prime power

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