GAP:MaximalNormalSubgroups

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This article is about a GAP function.



Definition

Function type

The function takes as input an argument representing a group and outputs a list of groups.

Behavior

The function takes as input a group and outputs a list of all its maximal normal subgroups: the subgroups that are maximal among proper normal subgroups. Note that it works only for finite groups.

Specifically:

  • If the argument represents a finite group, the function returns a list of its maximal normal subgroups.
  • If the argument represents an infinite group, the function returns an error. The nature of the error varies, but it usually involves a memory overflow.
  • If the argument is not a group at all, the function returns a NoMethodFound error.

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