GAP:IsQuasisimple

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This article is about a GAP function.

This GAP function takes as input a group. See more functions like this.
This GAP function outputs a Boolean variable, i.e., it returns either true or false. View other GAP functions with Boolean output

This GAP function is not in-built: you need to copy the code on this page to define the function.

Definition

Function type

This function takes as input a group and outputs a Boolean (true or false).

Behavior

The function returns true if the group is a quasisimple group and false if the group is not quasisimple.

Typical use

The following is the typical use of the function:

IsQuasisimple(group);

Method

Code

IsQuasisimple := function(G)
        if IsSolvable(G) then return false;
        return IsPerfect(G) and IsSimple(G/Center(G));
end;;