Monomiality Questions

This chapter describes functions dealing with the monomiality of finite (solvable) groups and their characters.

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Several examples in this chapter use the symmetric group S_4 and the special linear group SL(2,3). For running the examples, you must first define the groups, for example as follows.

gap> S4:= SymmetricGroup( 4 );; SetName( S4, "S4" ); gap> Sl23:= SL( 2, 3 );;
InfoMonomial (Info Class)
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Character Degrees and Derived Length
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Primitivity of Characters
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Testing Monomiality
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Minimal Nonmonomial Groups
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