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Abstract Given a group G and a partial authorities p of Grind to a total town that can alwaya be exon antozorphioa (inner one). Alno any munber of partial antosorphtons pig, shore ranges over some index can be elmltens oly ext eutonerphiaas of one and the oane group conditions were derived which are oufficlent for extending two partial autoaorshions of a group to commutative autocorphions (inner ues) of an extoneton ouper- group Uoreover, conditions are derived which are eusfictent for a of partial autosompitons be alt extendable to inner autosorpitons ty of ons and the case oupergroup mich thet for a fixed ME, ty conmiten with every ty surfeiting conatsione nore obtained for extend- tng two partial autooorphieas of gven abelian group to commtative automorphy of an abelian sipergroup. |