On projective representations of special 𝑝-groups

Abstract Let 𝐺 be a special 𝑝-group. For 𝐺 of rank two, or of maximum rank with <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mrow> <m:mrow> <m:mo stretchy="false">|</m:mo> <m:msup> <m:mi>G</m:mi> <m:mi>p</m:mi> </m:msup> <m:mo stretchy="false">|</m:mo> </m:mrow> <m:mo>≤</m:mo> <m:mi>p</m:mi> </m:mrow> </m:math> \lvert G^{p}\rvert\leq p , we describe the complex irreducible projective representations of 𝐺.