List questions from p-groups

Published on 14 Apr 2026 - 23:05

73

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Group of order $2^2 \cdot 3^n$, $n \geq 1$.

Published on 17 Apr 2026 - 12:35

62

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Non-abelian finite group as a direct product of $p$-groups

Published on 17 Apr 2026 - 6:06

168

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On Hungerford lemma about normalizer of $p$-subgroup

Published on 15 Apr 2026 - 22:14

31

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What are $E^+,C^+$ and the p-part of the quotient $E^+/C^+$

Published on 25 Mar 2026 - 6:28

63

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normalizer tower question

Published on 30 Apr 2026 - 15:04

109

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Multiplicative group of order $2^k$ has proper subgroup containing set of all squares

Published on 16 Apr 2026 - 6:44

215

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Finite groups with elements of order a prime power

Published on 11 Apr 2026 - 23:24

152

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Q: how to describe these results by a descendants tree in gap

Published on 10 May 2026 - 20:17

107

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About an order of a p-group

Published on 14 Apr 2026 - 0:04

272

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Abelian group, invariant and p-group

Published on 14 Apr 2026 - 0:04

87

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Let $G$ be a group with $p^3$ elements, $p$ prime. Find the cardinal of the set $\{\operatorname{C}(x)\mid x\in G\}.$

Published on 16 Apr 2026 - 5:55

294

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Equivalent definitions of a $p$-group

Published on 16 Apr 2026 - 5:12

257

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If $P\le G$ is a sylow-$p$ and $Q$ is any $p$ subgroup, then $Q\cap P = Q\cap N(P).$

Published on 16 Apr 2026 - 21:38

204

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Order of conjugacy class of a p-group

Published on 15 Apr 2026 - 5:05

List Question

Why does $\langle \bar a \rangle \cap \overline K = \{\bar e \}$?

Group of order $2^2 \cdot 3^n$, $n \geq 1$.

Non-abelian finite group as a direct product of $p$-groups

On Hungerford lemma about normalizer of $p$-subgroup

What are $E^+,C^+$ and the p-part of the quotient $E^+/C^+$

normalizer tower question

Multiplicative group of order $2^k$ has proper subgroup containing set of all squares

Finite groups with elements of order a prime power

Q: how to describe these results by a descendants tree in gap

About an order of a p-group

Abelian group, invariant and p-group

Let $G$ be a group with $p^3$ elements, $p$ prime. Find the cardinal of the set $\{\operatorname{C}(x)\mid x\in G\}.$

Equivalent definitions of a $p$-group

If $P\le G$ is a sylow-$p$ and $Q$ is any $p$ subgroup, then $Q\cap P = Q\cap N(P).$

Order of conjugacy class of a p-group

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