List questions from maximal-subgroup | MathQa

Groups with all maximal subgroups normal

Published on 12 Jan 2025 - 22:26

If $H \triangleleft G$, and $H$ is maximal, then $G/H$ is simple

Published on 12 Jan 2025 - 22:39

Is the maximal torus a conjugacy class?

Published on 13 Jan 2025 - 2:28

Self normalizing maximal subgroup of a non solvable group

Published on 12 Jan 2025 - 22:41

$G$ be a group such that every maximal subgroup is of finite index and any two maximal subgroups are conjugate

Published on 12 Jan 2025 - 22:56

Generalization of product theorem in group theory.

Published on 12 Jan 2025 - 22:35

In a finite p-group,H is a maximal sub group iff H is normal in G and |G:H|=p

Published on 12 Jan 2025 - 22:50

example of a group which has no proper subgroup of finite index, but it does have maximal subgroups.

Published on 12 Jan 2025 - 22:54

When is the commutator subgroup a maximal subgroup?

Published on 12 Jan 2025 - 22:35

Under what assumptions will $M \unlhd G$? ($M$ maximal)

Published on 12 Jan 2025 - 22:34