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added information to the documentation of IsPrimitive
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PaulaHaehndel committed Mar 20, 2019
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16 changes: 15 additions & 1 deletion lib/oprt.gd
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Expand Up @@ -1783,6 +1783,7 @@ OrbitsishOperation( "IsTransitive", OrbitsishReq, false, NewProperty );
#############################################################################
##
#O IsPrimitive( <G>, <Omega>[, <gens>, <acts>][, <act>] )
#P IsPrimitive( <G> )
#P IsPrimitive( <xset> )
##
## <#GAPDoc Label="IsPrimitive">
Expand All @@ -1799,7 +1800,20 @@ OrbitsishOperation( "IsTransitive", OrbitsishReq, false, NewProperty );
## <P/>
## <Index>primitive</Index>
## An action is <E>primitive</E> if it is transitive and the action admits
## no nontrivial block systems. See&nbsp;<Ref Sect="Block Systems"/>.
## no nontrivial block systems. See&nbsp;<Ref Sect="Block Systems"/> for
## the definition of block systems.
## <P/>
## For permutation groups, the syntax <C>IsPrimitive(<A>G</A>)</C> is also
## permitted and tests whether the group is primitive on the points moved
## by it, that is the group <M>\langle (2,3,4),(2,3) \rangle</M>
## is primitive (on 3 points).
## <P/>
## For an explanation of the meaning of all the inputs, please refer to the
## introduction of this chapter.
## See&nbsp;<Ref Sect="About Group Actions"/>.
## <P/>
## <E>Note:</E> This operation does not tell whether a matrix group
## preserves a direct sum of vector spaces.
## <Example><![CDATA[
## gap> IsPrimitive(g,Orbit(g,(1,2)(3,4)));
## true
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