List questions from p-groups

Published on 22 Feb 2019 - 3:40

387

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 25 Mar 2026 - 6:13

544

Views

Non-abelian Groups of Order $p^3$

Published on 23 Mar 2019 - 21:50

83

Views

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

Published on 29 Mar 2019 - 12:13

74

Views

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

Published on 02 Apr 2019 - 6:20

54

Views

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 05 Apr 2019 - 0:58

346

Views

No simple groups of given order.

Published on 25 Mar 2026 - 3:18

756

Views

Group as direct sum of cyclic groups

Published on 14 Apr 2019 - 21:13

90

Views

Centralizers in p-groups

Published on 16 Apr 2019 - 18:39

18

Views

A question to the ascending central chain in modular group algebras

Published on 22 Mar 2026 - 23:32

75

Views

Isomorphism problem for the center of modular group algebras

Published on 16 Apr 2019 - 19:23

57

Views

Bounding the exponent in unit groups of modular group algebras

Published on 25 Mar 2026 - 1:27

109

Views

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

Published on 24 Apr 2019 - 11:13

612

Views

Proving a group of order 343 is not simple

Published on 25 Mar 2026 - 5:01

151

Views

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

Published on 02 May 2019 - 6:43

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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