List questions from p-groups

Published on 25 Mar 2026 - 22:02

69

Views

Clarification of a part of Theorem 2.20 in Isaacs's Finite Group Theory

Published on 13 Sep 2020 - 3:19

101

Views

Clarification of the diagram in Theorem 2.20 (Lucchini) in Isaacs's Finite Group Theory

Published on 13 Sep 2020 - 4:45

32

Views

Isomorphism of maximal subgroups fix the Frattini?

Published on 25 Mar 2026 - 7:43

947

Views

A finite abelian group whose order is divisible by a prime $p$ contains an element of order $p$

Published on 16 Oct 2020 - 13:19

75

Views

Is an extension of a $p$-group by a cyclic group whose order is not divided by $p$ split?

Published on 26 Oct 2020 - 9:59

417

Views

Understanding the field of order $p^2$

Published on 28 Oct 2020 - 22:44

233

Views

Bounds for probability that two elements commute in a group?

Published on 11 Nov 2020 - 3:05

868

Views

Conjugacy classes of a nonabelian group of order $p^4$

Published on 13 Nov 2020 - 10:23

415

Views

How to prove the existence of non-abelian group of order $125$

Published on 20 Nov 2020 - 17:30

86

Views

All 2-groups have cyclic commutator subgroups?

Published on 20 Nov 2020 - 17:48

240

Views

Prove that any group $G$ with $|G|=588$ is solvable

Published on 27 Mar 2026 - 21:55

64

Views

Construction of an automorphism of elementary abelian p-group of order $p^{2}$

Published on 24 Nov 2020 - 18:55

524

Views

Prove that any group of order $27$ is not simple

Published on 24 Nov 2020 - 21:36

138

Views

Prove that any group of order $945$ has at least one subgroup of order $9$

Published on 24 Nov 2020 - 22:41

List Question

A generalizaton of nilpotent groups

Clarification of a part of Theorem 2.20 in Isaacs's Finite Group Theory

Clarification of the diagram in Theorem 2.20 (Lucchini) in Isaacs's Finite Group Theory

Isomorphism of maximal subgroups fix the Frattini?

A finite abelian group whose order is divisible by a prime $p$ contains an element of order $p$

Is an extension of a $p$-group by a cyclic group whose order is not divided by $p$ split?

Understanding the field of order $p^2$

Bounds for probability that two elements commute in a group?

Conjugacy classes of a nonabelian group of order $p^4$

How to prove the existence of non-abelian group of order $125$

All 2-groups have cyclic commutator subgroups?

Prove that any group $G$ with $|G|=588$ is solvable

Construction of an automorphism of elementary abelian p-group of order $p^{2}$

Prove that any group of order $27$ is not simple

Prove that any group of order $945$ has at least one subgroup of order $9$

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