Centralizers of Camina <i>p</i>-groups of nilpotence class 3
Centralizers of Camina <i>p</i>-groups of nilpotence class 3
Abstract Let G be a Camina <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mpadded lspace="-0.9pt" width="-0.9pt"> <m:mi>p</m:mi> </m:mpadded> </m:math> \hskip-0.853583pt{p} -group of nilpotence class 3. We prove that if <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mrow> <m:mpadded width="-0.9pt"> <m:msup> <m:mi>G</m:mi> <m:mo>′</m:mo> </m:msup> </m:mpadded> <m:mo rspace="1.6pt"><</m:mo> <m:mrow> <m:msub> <m:mi>C</m:mi> <m:mi>G</m:mi> </m:msub> <m:mo></m:mo> <m:mrow> <m:mo stretchy="false">(</m:mo> <m:msup> <m:mi>G</m:mi> <m:mo>′</m:mo> </m:msup> <m:mo …