Open Access
Oct. 2000 ``Hasse principle'' for extraspecial $p$-groups
Manoj Kumar, Lekh Raj Vermani
Proc. Japan Acad. Ser. A Math. Sci. 76(8): 123-125 (Oct. 2000). DOI: 10.3792/pjaa.76.123


A group $G$ is said to enjoy ``Hasse principle'' if every local coboundary of $G$ is a global coboundary. It is proved that every non-Abelian finite $p$-group having a miximal subgroup which is cyclic and every extraspecial $p$-group enjoy ``Hasse principle''.


Download Citation

Manoj Kumar. Lekh Raj Vermani. "``Hasse principle'' for extraspecial $p$-groups." Proc. Japan Acad. Ser. A Math. Sci. 76 (8) 123 - 125, Oct. 2000.


Published: Oct. 2000
First available in Project Euclid: 23 May 2006

zbMATH: 0995.20034
MathSciNet: MR1794568
Digital Object Identifier: 10.3792/pjaa.76.123

Primary: 20D15 , 20D40

Keywords: central product , coboundary , Cocycle , extraspecial $p$-groups , Hasse principle

Rights: Copyright © 2000 The Japan Academy

Vol.76 • No. 8 • Oct. 2000
Back to Top