[GAP Forum] 0*Z(5) in Group(Z(5));

[Anvita]

Dear Forum,

Why can't GAP check whether Zero of a finite field is in its multiplicative
group?

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gap> z:=Z(5);
Z(5)
gap> 0*z in Group(z);
LogFFE: <z> must be a nonzero finite field element at
return elm in F and LogFFE( elm, PrimitiveRoot( F ) ) mod ((Size( F ) - 1) /
Size( G ))
    = 0;
 called from
<function>( <arguments> ) called from read-eval-loop
Entering break read-eval-print loop ...
you can 'quit;' to quit to outer loop, or
you can replace <z> via 'return <z>;' to continue
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Anvita