Skew-morphisms of cyclic 2-groups
Skew-morphisms of cyclic 2-groups
Abstract A skew-morphism of a finite group A is a permutation φ on A fixing the identity element, and for which there exists an integer function π on A such that, for all <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mrow> <m:mrow> <m:mi>x</m:mi> <m:mo>,</m:mo> <m:mi>y</m:mi> </m:mrow> <m:mo>∈</m:mo> <m:mi>A</m:mi> </m:mrow> </m:math> {x,y\in A} , <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> …