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Minimal permutation representations of semidirect products of groups
Abstract We provide formulae for the minimal faithful permutation degree <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mrow> <m:mi>μ</m:mi> <m:mo></m:mo> <m:mrow> <m:mo>(</m:mo> <m:mi>G</m:mi> <m:mo>)</m:mo> </m:mrow> </m:mrow> </m:math> ${\mu(G)}$ of a group G that is a semidirect product of an elementary abelian p -group by a group of prime order q not equal to p . …