List questions from p-groups

Published on 20 Dec 2014 - 11:47

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What does "exponent 2 nilpotency class 2" mean?

Published on 21 Dec 2014 - 20:48

35

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A simple question about p-groups (possibly infinite)

Published on 08 Oct 2019 - 6:17

198

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Assumption in Proof that Every $p$-Group is Solvable

Published on 12 Oct 2019 - 16:57

99

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The order of the ${\rm Aut}(G)$, where $G$ is a $p$-group is divisible by $p$.

Published on 21 Oct 2019 - 19:58

473

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p-groups such that all subgroups are normal must be abelian

Published on 31 Oct 2019 - 1:13

149

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Commutator subgroup is strictly smaller if the center is nontrivial

Published on 05 Nov 2019 - 1:57

120

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Finite p-group involving a wreath product

Published on 25 Mar 2026 - 14:30

52

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the order of $Z(G)$

Published on 16 Nov 2019 - 5:15

32

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Normalizers of subgroups of $p$-groups. Is my proof correct?

Published on 19 Nov 2019 - 0:30

223

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Frobenius groups

Published on 24 Mar 2026 - 17:51

142

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Show that if $H$ is a normal subgroup of $G$

Published on 26 Nov 2019 - 18:45

671

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What is the meaning of $\langle x\rangle$ in group theory?

Published on 26 Nov 2019 - 21:30

1.4k

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Every abelian $p$-group is the direct product of cyclic groups.

Published on 27 Nov 2019 - 15:30

127

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Any finite non-cyclic abelian $p$-group will have more than $p-1$ elements of order $p.$

Published on 27 Nov 2019 - 17:25

List Question

$|\{ x\in X: g.x=x \space\space\space \forall g\in G \}| = |X|\space mod \space p$

What does "exponent 2 nilpotency class 2" mean?

A simple question about p-groups (possibly infinite)

Assumption in Proof that Every $p$-Group is Solvable

The order of the ${\rm Aut}(G)$, where $G$ is a $p$-group is divisible by $p$.

p-groups such that all subgroups are normal must be abelian

Commutator subgroup is strictly smaller if the center is nontrivial

Finite p-group involving a wreath product

the order of $Z(G)$

Normalizers of subgroups of $p$-groups. Is my proof correct?

Frobenius groups

Show that if $H$ is a normal subgroup of $G$

What is the meaning of $\langle x\rangle$ in group theory?

Every abelian $p$-group is the direct product of cyclic groups.

Any finite non-cyclic abelian $p$-group will have more than $p-1$ elements of order $p.$

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