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A group admitting a finite subnormal series whose successive quotient groups are abelian.
wp-solvable-groupnlab-solvable-groupmilne-fields-galois-theoryEach relation below ends at this concept.
No direct relations are authored in this direction.
Each relation below starts at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
Forgetting the terminating derived or subnormal series leaves the underlying group.
Pass canonically from a stronger object to structure it determines, or forget part of the data while retaining a valid weaker structure. The carrier may change under a canonical induced construction.
milne-fields-galois-theoryThis is an authored directed relation from the source endpoint to the target endpoint.
Require the polynomial’s Galois group to have a terminating derived series.
Feed several structures into a construction junction and impose compatibility between them.
milne-fields-galois-theory