“Hasse principle” for extraspecial \(p\)-groups. (English) Zbl 0995.20034

Kumar, Manoj; Vermani, Lekh Raj

Proc. Japan Acad., Ser. A 76, No. 8, 123-125 (2000).

Authors’ summary: A group \(G\) is said to enjoy the “Hasse principle” if every local coboundary of \(G\) is a global coboundary. It is proved that every non-Abelian finite \(p\)-group having a maximal subgroup which is cyclic and every extraspecial \(p\)-group enjoy the “Hasse principle”.

Reviewer: Olympia Talelli (Athens)

MSC:

20J05	Homological methods in group theory
20D15	Finite nilpotent groups, \(p\)-groups

Keywords:

local coboundaries; global coboundaries; finite \(p\)-groups; maximal subgroups; extraspecial \(p\)-groups

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