List questions from p-groups

Published on 20 Aug 2013 - 7:31

2.5k

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Order of automorphism group of a $p$-group is divisible by $p$.

Published on 21 Aug 2013 - 4:27

455

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Existence of a normal subgroup in a finite group.

Published on 21 Aug 2013 - 6:19

240

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Nilpotency class of normal product of dihedral 2-groups

Published on 23 Aug 2013 - 16:00

50

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P-groups and homomorphisms...

Published on 24 Aug 2013 - 5:50

195

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There is no core free subgroup of order $p^2$ in a group of order $p^4$

Published on 02 Sep 2013 - 16:23

116

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Understanding a proof about finite $p$-groups

Published on 07 Sep 2013 - 9:56

14.5k

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Does every group whose order is a power of a prime p contain an element of order p?

Published on 08 Sep 2013 - 4:17

93

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Are there asymptotically more nonabelian groups of order $p^k$ than there are abelian groups of order $\leq p^k$?

Published on 16 Sep 2013 - 23:51

464

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Does every $p$-group of odd order admit fixed point free automorphisms?

Published on 23 Feb 2026 - 6:21

431

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Proving that a $p$-group operating on a finite set of order not divisible by $p$ has a fixed point.

Published on 27 Sep 2013 - 3:11

553

Views

Properties of Finite and Infinite $p$-Groups

Published on 08 Oct 2013 - 6:04

1.7k

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Subgroups and quotient groups of finite abelian $p$-groups

Published on 16 Oct 2013 - 12:09

286

Views

Definition of $p$-class of $p$-group?

Published on 17 Oct 2013 - 5:49

601

Views

Lift a group action from a quotient

Published on 24 Oct 2013 - 11:34

List Question

Two questions on p-groups

Order of automorphism group of a $p$-group is divisible by $p$.

Existence of a normal subgroup in a finite group.

Nilpotency class of normal product of dihedral 2-groups

P-groups and homomorphisms...

There is no core free subgroup of order $p^2$ in a group of order $p^4$

Understanding a proof about finite $p$-groups

Does every group whose order is a power of a prime p contain an element of order p?

Are there asymptotically more nonabelian groups of order $p^k$ than there are abelian groups of order $\leq p^k$?

Does every $p$-group of odd order admit fixed point free automorphisms?

Proving that a $p$-group operating on a finite set of order not divisible by $p$ has a fixed point.

Properties of Finite and Infinite $p$-Groups

Subgroups and quotient groups of finite abelian $p$-groups

Definition of $p$-class of $p$-group?

Lift a group action from a quotient

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