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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References
Lockhart, R. (1982) A note on non-abelian homological algebra and endomorphism near-rings, Proc. Royal Soc. Edinburgh 92A, pp. 142–152.
Lockhart, R. (1996) Products on products on groups (this volume).
Pilz, G. (1983) Near-rings, North-Holland, Amsterdam (2nd edition).
Saad, G., Syskin, S. A., Thomsen, M. J. (1995) Endomorphism near-rings on finite groups, a report, in: Near-Rings and Near-Fields, Y. Fong et al. (eds.), Kluwer Academic Publishers, Dordrecht, pp. 227–234.
Ştefănescu, M. (1994) Non-commutative cohomology and near-rings, An. St. Univ. Ovidius, Constantza, ser. Mat. 2, pp. 174–184.
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© 1997 Kluwer Academic Publishers
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Ştefănescu, M. (1997). Near-Rings in Connection with Non-Abelian Cohomology of Groups. In: Saad, G., Thomsen, M.J. (eds) Nearrings, Nearfields and K-Loops. Mathematics and Its Applications, vol 426. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-1481-0_34
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DOI: https://doi.org/10.1007/978-94-009-1481-0_34
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