Question

Give a non-trivial direct sum decomposition for the generalized Prufer $$-group $H_{\omega+1}$

score 36 · Answer 1 · 2023-11-03 09:27:50

36

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Give a non-trivial direct sum decomposition for the generalized Prufer $$-group $H_{\omega+1}$

Published on 03 Nov 2023 - 9:27

score 94 · Answer 2 · 2023-11-14 17:43:22

94

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A property in finite $p$-groups

Published on 14 Nov 2023 - 17:43

score 46 · Answer 3 · 2023-11-16 13:46:40

46

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If $G$ is a finite $p$-group do we have that $|[G',\gamma_i(G)]:[G',\gamma_{i+1}(G)]|\geq p$?

Published on 16 Nov 2023 - 13:46

score 69 · Answer 4 · 2023-11-24 20:08:12

69

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Maximal abelian subgroups of an extraspecial group of order $2^{2m+1}$

Published on 24 Nov 2023 - 20:08

score 41 · Answer 5 · 2026-03-25 04:40:54

41

Views

Exponent of a semi-direct product of nilpotent groups

Published on 25 Mar 2026 - 4:40

score 25 · Answer 6 · 2023-12-02 05:19:47

25

Views

regular representation of a p group over field of characteristic p is indecomposible.

Published on 02 Dec 2023 - 5:19

score 128 · Answer 7 · 2023-12-12 23:02:40

128

Views

Prove that every group $G$ with $p^n$ ($n\ge4$) elements and center with $p$ elements has an abelian subgroup of order $p^3$

Published on 12 Dec 2023 - 23:02

score 85 · Answer 8 · 2023-12-22 10:01:33

85

Views

Is there a countable reduced $p$-group such that the corresponding Ulm-Kaplansky invariants are infinite or zero?

Published on 22 Dec 2023 - 10:01

score 79 · Answer 9 · 2024-01-07 02:38:36

79

Views

Why is a periodic subgroup of a residually p-group a p-group?

Published on 07 Jan 2024 - 2:38

score 67 · Answer 10 · 2024-01-07 18:11:57

67

Views

$G$ a non-cyclic group with $|G|=p^n$. Show that $G$ has at least $p + 3$ different subgroups.

Published on 07 Jan 2024 - 18:11

score 39 · Answer 11 · 2026-03-21 20:25:02

39

Views

How are "types" defined in this module?

Published on 21 Mar 2026 - 20:25

score 22 · Answer 12 · 2024-01-19 16:15:51

22

Views

Sections of lower exponent $p$-series are elementary abelian

Published on 19 Jan 2024 - 16:15

score 45 · Answer 13 · 2026-03-25 06:04:26

45

Views

The number of Hall $\pi$-subgroups of a $\pi$-separable group - Alexandre Turull article

Published on 25 Mar 2026 - 6:04

score 114 · Answer 14 · 2024-02-13 22:08:34

114

Views

If $H, K \leq G$ implies $H \subseteq K$ or $K \subseteq H$, then $G$ is a (not necessarily finite) $p$-group.

Published on 13 Feb 2024 - 22:08

score 40 · Answer 15 · 2024-02-17 19:54:17

40

Views

Subgroups and Quotient Groups of Infinite bounded Abelian p-groups

Published on 17 Feb 2024 - 19:54

List Question

Give a non-trivial direct sum decomposition for the generalized Prufer $$-group $H_{\omega+1}$

A property in finite $p$-groups

If $G$ is a finite $p$-group do we have that $|[G',\gamma_i(G)]:[G',\gamma_{i+1}(G)]|\geq p$?

Maximal abelian subgroups of an extraspecial group of order $2^{2m+1}$

Exponent of a semi-direct product of nilpotent groups

regular representation of a p group over field of characteristic p is indecomposible.

Prove that every group $G$ with $p^n$ ($n\ge4$) elements and center with $p$ elements has an abelian subgroup of order $p^3$

Is there a countable reduced $p$-group such that the corresponding Ulm-Kaplansky invariants are infinite or zero?

Why is a periodic subgroup of a residually p-group a p-group?

$G$ a non-cyclic group with $|G|=p^n$. Show that $G$ has at least $p + 3$ different subgroups.

How are "types" defined in this module?

Sections of lower exponent $p$-series are elementary abelian

The number of Hall $\pi$-subgroups of a $\pi$-separable group - Alexandre Turull article

If $H, K \leq G$ implies $H \subseteq K$ or $K \subseteq H$, then $G$ is a (not necessarily finite) $p$-group.

Subgroups and Quotient Groups of Infinite bounded Abelian p-groups

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