List questions from solvable-groups | MathQa

If $ G $ is a finite soluble group and satisfies the permutizer condition, then for any odd prime $ p $, $ G $ is $ p $-supersoluble.

Published on 12 Jan 2025 - 9:19

$H, N$ subgroups of $S_{5}$

Published on 13 Jan 2025 - 2:39

Question about upper central series of a group

Published on 12 Jan 2025 - 9:20

show if $ G $ is supersoluble then $ G $ has a chief factor such that every chief factor of order $ p $.

Published on 12 Jan 2025 - 9:20

If $G$ is a group such that any two commutators commute, $G$ is solvable

Published on 12 Jan 2025 - 9:19

Why is $\Bbb{Z_2} / \{e\} = \Bbb{Z_2}$?

Published on 12 Jan 2025 - 17:45

Nilpotency class of dihedral group $D_{16}$

Published on 12 Jan 2025 - 9:20

Finite group is solvable iff it has a normal series with $p$-primary abelian quotient groups

Published on 12 Jan 2025 - 9:20

What tools are there for specific cases of Feit-Thompson?

Published on 12 Jan 2025 - 9:20

The groups with nilpotent hall $p'$ subgroup.

Published on 12 Jan 2025 - 9:19