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Results tagged with normal-subgroups
Search options not deleted
user 3710
53
votes
Accepted
Groups with all subgroups normal
These are called Dedekind groups, and the non-abelian ones are called Hamiltonian groups. The finite ones were classified by Dedekind, and the classification extended to all groups by Baer. The non- …
- 10.7k
7
votes
Accepted
Groups whose normal subgroups form a chain with respect to inclusion
For solvable groups without Frattini chief factors, this is equivalent to each of the following (individually):
having a unique chief series,
every quotient group having a faithful primitive permuta …
- 10.7k