List questions from normal-subgroups

Published on 26 Mar 2026 - 12:34

268

Views

Small order examples of non-nilpotent finite groups in which every minimal normal subgroup intersects the center nontrivially

Published on 25 Mar 2026 - 16:03

666

Views

Socle, the subgroup generated by the minimal subgroups

Published on 26 Apr 2020 - 10:28

135

Views

Suppose $N \cap K = \{e_G\}$. Prove that for all $a \in N$ and $b \in K, ab = ba.$

Published on 27 Apr 2020 - 2:04

135

Views

Equivalence class as a homomorphism from a group to its quotient group

Published on 28 Mar 2026 - 11:13

123

Views

Is group extension unique?

Published on 25 Mar 2026 - 12:30

33

Views

A certain quotient of a (not necessarily solvable) finite group is solvable

Published on 26 Mar 2026 - 2:55

36

Views

Proving/Disproving (via formal proof) pairwise distinction for conjoined cycles when each individual cycle is pairwise distinct

Published on 28 Apr 2020 - 7:07

538

Views

Groups of order $pq$, $p$ and $q$ primes with $p<q$.

Published on 28 Mar 2026 - 4:35

221

Views

Preimage of cyclic subgroup under projection is Abelian

Published on 01 May 2020 - 6:45

80

Views

Why $G/F(G)$ is isomorphic to a subgroup of $\mathrm{Out}(F(G))$?

Published on 29 Mar 2026 - 15:16

157

Views

An example that $G/N$ cyclic does not imply $G$ cyclic.

Published on 26 Mar 2026 - 12:33

440

Views

example of a non-abelian group $G$ and a non-trivial maximal normal subgroup $N$ so that $[G : N] ≥ 3$.

Published on 25 Mar 2026 - 4:41

49

Views

Subgroups and normal-subgroups

Published on 06 May 2020 - 19:47

492

Views

The product of two normal subgroup's normal subgroup.

Published on 26 Mar 2026 - 8:04

List Question

Conceptual question in Group Theory

Small order examples of non-nilpotent finite groups in which every minimal normal subgroup intersects the center nontrivially

Socle, the subgroup generated by the minimal subgroups

Suppose $N \cap K = \{e_G\}$. Prove that for all $a \in N$ and $b \in K, ab = ba.$

Equivalence class as a homomorphism from a group to its quotient group

Is group extension unique?

A certain quotient of a (not necessarily solvable) finite group is solvable

Proving/Disproving (via formal proof) pairwise distinction for conjoined cycles when each individual cycle is pairwise distinct

Groups of order $pq$, $p$ and $q$ primes with $p<q$.

Preimage of cyclic subgroup under projection is Abelian

Why $G/F(G)$ is isomorphic to a subgroup of $\mathrm{Out}(F(G))$?

An example that $G/N$ cyclic does not imply $G$ cyclic.

example of a non-abelian group $G$ and a non-trivial maximal normal subgroup $N$ so that $[G : N] ≥ 3$.

Subgroups and normal-subgroups

The product of two normal subgroup's normal subgroup.

Trending Questions

Popular # Hahtags

Popular Questions