CENTRAL DECOMPOSITIONS OF FINITE P-GROUPS WITH CENTER OF ORDER P.

Abstract

If G is a finite p-group with Z. (G) or order p, then (according to Hall-senior James theorem) either G is extra-special or Z (G) is abelian or G is centrally decomposable with GAYB. where A is extra-special and Z; (B) is abelian. Here the central decompositions of these three cases separately is discussed