Abstract
The connection of the non-abelian cohomology for finite groups with near-rings has been noted already by R. Lockhart [1] in a paper published in 1982. Here we shall try to obtain some near-rings of special mappings on a group or between two groups, and these mappings can be chosen such that they allow us to build a non-abelian cohomology for the given groups. Such a study has been accomplished by the author (see [5]) and by R. Lockhart [2].
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