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correction of IsMonomial, mainly for reducible characters #2113

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Feb 8, 2018
Merged

correction of IsMonomial, mainly for reducible characters #2113

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12 changes: 7 additions & 5 deletions lib/ctblmono.gd
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Original file line number Diff line number Diff line change
Expand Up @@ -545,7 +545,9 @@ DeclareProperty( "IsMonomialNumber", IsPosInt );
## whether the irreducible character <A>chi</A> or the group <A>G</A>,
## respectively, is monomial.
## Here <Q>cheap</Q> means in particular that no computations of character
## tables are involved.
## tables are involved,
## and it is <E>not</E> checked whether <A>chi</A> is a character and
## irreducible.
## The return value is a record with components
## <List>
## <Mark><C>isMonomial</C></Mark>
Expand All @@ -572,7 +574,7 @@ DeclareProperty( "IsMonomialNumber", IsPosInt );
## it is linear, or if its codegree is a prime power,
## or if its group knows to be monomial,
## or if the factor group modulo the kernel can be proved to be monomial by
## <Ref Attr="TestMonomialQuick" Label="for a character"/>.
## <Ref Attr="TestMonomialQuick" Label="for a group"/>.
## <P/>
## <Example><![CDATA[
## gap> TestMonomialQuick( Irr( S4 )[3] );
Expand Down Expand Up @@ -699,9 +701,9 @@ TestMonomialUseLattice := 1000;
## <Prop Name="IsSubnormallyMonomial" Arg='chi' Label="for a character"/>
##
## <Description>
## A character of the group <M>G</M> is called <E>subnormally monomial</E>
## (SM for short) if it is induced from a linear character of a subnormal
## subgroup of <M>G</M>.
## An irreducible character of the group <M>G</M> is called
## <E>subnormally monomial</E> (<E>SM</E> for short) if it is induced
## from a linear character of a subnormal subgroup of <M>G</M>.
## A group <M>G</M> is called SM if all its irreducible characters are SM.
## <P/>
## <Ref Attr="TestSubnormallyMonomial" Label="for a group"/> returns
Expand Down
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