24.5 Depth

Depth( g )

Depth returns the depth of an ag word g with respect to the AG series of its parent group as integer.

Let G be the parent group of g and G=G_0 > ... > G_n={1} the AG series of G. Let delta be the maximal positive integer such that g is an element of G_{delta-1}. Then delta is the depth of g.

Note that Depth allows record that mimic ag words as arguments.

    gap> Depth( a );
    1
    gap> Depth( d );
    4
    gap> Depth( a^0 );
    5 

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