Skew-morphisms of elementary abelian ๐-groups
Skew-morphisms of elementary abelian ๐-groups
Abstract A skew-morphism of a finite group ๐บ is a permutation ๐ on ๐บ fixing the identity element, and for which there exists an integer-valued function ๐ on ๐บ such that <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mrow> <m:mrow> <m:mi>ฯ</m:mi> <m:mo>โข</m:mo> <m:mrow> <m:mo stretchy="false">(</m:mo> <m:mrow> <m:mi>x</m:mi> <m:mo>โข</m:mo> <m:mi>y</m:mi> </m:mrow> <m:mo stretchy="false">)</m:mo> </m:mrow> </m:mrow> <m:mo>=</m:mo> โฆ