Proc. Japan Acad. Ser. A Math. Sci. 77 (6), 95-98, (June 2001) DOI: 10.3792/pjaa.77.95
Manoj Kumar, Lekh Raj Vermani
KEYWORDS: Cocycle, coboundary, Hasse principle, conjugacy preserving endomorphism, inner automorphism, $p$-groups, central product, 20D15, 20D45, 20D40
A group $G$ is said to enjoy ``Hasse principle'' if every local coboundary of $G$ is a global coboundary. It is proved that every group of order $p^4$ and every metacyclic group enjoy ``Hasse principle''.